Towards development of sustainable cities: influence of traffic induced vibrations on buildings and humans

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Towards development of sustainable cities: influence of traffic induced vibrations on buildings and humans (en)
Истраживање утицаја вибрација од саобраћаја на зграде и људе у циљу одрживог развоја градова (sr)
Istraživanje uticaja vibracija od saobraćaja na zgrade i ljude u cilju održivog razvoja gradova (sr_RS)
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Publications

Progressive failure analysis of laminar composites under three-dimensional stress state using layered finite elements

Jočić, Emilija

(Univerzitet u Beogradu Građevinski fakultet Beograd, 2023)

TY  - THES
AU  - Jočić, Emilija
PY  - 2023
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3234
AB  - Laminar composites are extensively used in civil engendering due to their exceptional strength,
stiffness, corrosion resistance, and cost-effectiveness. They are ideal for high-reliability applications.
The 21st century’s focus on environmental protection has led to increased use of
natural-based materials like cross-laminated timber (CLT) in building construction. CLT panels
have a high stiffness-to-weight ratio, making them well-suited as load-bearing elements, such as
walls and floors. The optimal design of laminar composites is often hindered by uncertainties
in failure prediction and the computational costs associated with progressive failure analysis
(PFA), particularly for larger structures.
This study introduces a novel prediction model that combines the smeared crack band (SCB)
damage model with the full layerwise theory (FLWT). The aim is to enhance the computational
efficiency of PFA in laminar composites while maintaining the accuracy of 3D finite element
models. The SCB model accurately captures the response of damaged lamina in both fiber
and matrix directions using distinct strain-softening curves, ensuring a precise representation
of post-failure behaviour. The damage law is derived based on the assumption that the total
energy required to cause failure in an element (released strain energy) is equivalent to the energy
necessary to create a crack passing through it. To alleviate mesh dependency, the fracture energy
is scaled by a characteristic element length. Failure initiation and modes are determined using
the Hashin failure criterion. Furthermore, the model is extended to consider different failure
behaviour of timber in tension and compression. This extension enhances the computational
framework’s applicability to the field of computational mechanics for bio-based composites, such
as CLT. The validity of the model is then confirmed through an extensive experimental program
carried out at the Faculty of Civil Engineering, University of Belgrade.
Application of layered finite elements for continuum damage modelling in laminar composites
remains largely unexplored in literature, particularly when combined with the SCB damage
model. The FLWT-based model accurately captures the 3D stress state within each lamina,
including continuous transverse stresses between adjacent layers, crucial for accurate prediction
of failure initiation. Furthermore, the FLWT demonstrates a weak correlation between the size
of the considered domain and the mesh, presenting a notable difference from standard finite
element models. The developed FLWT-SCB prediction model is integrated into an original
FLWTFEM framework, offering a user-friendly graphical environment for easy visualization
of input and output data. The proposed model’s efficiency has been verified using numerous
benchmark examples during progressive failure analyses of laminar composites and CLT panels
with arbitrary geometries, loading and boudary conditions and stacking sequences. The model
has demonstrated its accuracy in predicting the response of both intact and damaged laminar
composites, and valuable recommendations for future research in this field are included.
AB  - Zbog svojih izuzetnih materijalnih karakteristika u pogledu čvrstoće i krutosti, male sopstvene
težine, otpornosti na koroziju i niskih troškova održavanja, kompozitni laminati imaju potencijal
za upotrebu u građevinarstvu. Sa porastom svesti o zaštiti životne sredine u 21. veku, sve je
češća upotreba prirodnih materijala. U skladu sa tim, u građevinarstvu sve veću popularnost
stiče kompozitni laminat na bazi drveta - unakrsno-lamelirano drvo (CLT). Zbog visokog odnosa
krutosti i sopstvene težine CLT-a, moguće je projektovati elemente male težine i velikog raspona.
Nepouzdanost u predviđanju ponašanja oštećenih kompozitnih laminata, kao i kompleksnost
proračuna progresivnog loma znatno otežavaju njihovo projektovanje.
U okviru ove disertacije je razvijen numerički model za analizu progresivnog loma kompozitnih
laminata, koristeći model razmazane pukotine (eng. "smeared crack band" - SCB) i slojevitu
teoriju ploča. Model poseduje kapacitet trodimenzionalnih numeričkih modela uz smanjeno
trajanje proračuna, čime se povećava efikasnost numeričke analize. Kod SCB modela, ponašanje
oštećene lamine je opisano različitim krivama loma u naponsko-deformacijskom prostoru, kako
bi se u makroskopskom pogledu opisala propagacija oštećenja koje nastaje usled kidanja vlakana
i matrice, respektivno. Zakon omekšavanja materijala je određen na osnovu pretpostavke da je
oslobođena energija deformacije jednaka energiji potrebnoj da dođe do loma vlakana, odnosno
kidanja matrice. Inicijacija i oblici loma su određeni primenom Hashin-ovog kriterijuma loma.
Nakon toga, izvršena je modifikacija modela kako bi se opisalo različito ponašanje drveta pri
zatezanju i pritisku. Na taj način, mogućnosti razvijenog numeričkog modela su proširene
i na analizu progresivnog loma prirodnih kompozitnih laminata, kao što je CLT. Validnost
predloženog modela je potvrđena kroz detaljna eksperimentalna ispitivanja na Građevinskom
fakultetu Univerziteta u Beogradu.
Upotreba slojevitih konačnih elemenata u analizi progresivnog loma je u velikoj meri neistražena
u literaturi, posebno u kombinaciji sa SCB degradacijskim modelima, gde slojeviti model
ploče treba objediniti sa fenomenima mehanike loma. Numerički model, zasnovan na slojevitoj
teoriji ploča, omogućava precizno određivanje prostornog stanja napona, zadovoljavajući uslove
ravnoteže međulaminarnih napona, što je veoma bitno prilikom predviđanja inicijacije loma.
Takođe, pri modeliranju većih konstrukcija, primenom slojevite teorije ploča omogućava se
znatno smanjenje broja konačnih elemenata u poređenju sa postojećim numeričkim modelima.
Razvijeni numerički model je implementiran u FLWTFEM kod, čime je obezbeđeno puno
grafičko okruženje, pogodno za vizualizaciju ulaznih podataka i rezultata proračuna. Efikasnost
predloženog modela je verifikovana korišćenjem brojnih referentnih numeričkih primera, prilikom
analize progresivnog loma kompozitnih laminata i CLT panela sa proizvoljnom geometrijom,
opterećenjem, graničnim uslovima i orijentacijom slojeva. Potvrđena je tačnost predloženog
modela u predviđanju odgovora kako neoštećenih tako i oštećenih kompozitnih laminata, a date
su i važne preporuke za buduća istraživanja u ovoj oblasti.
PB  - Univerzitet u Beogradu Građevinski fakultet Beograd
T1  - Progressive failure analysis of laminar composites under three-dimensional stress state using layered finite elements
T1  - Analiza progresivnog loma kompozitnih laminata u uslovima prostornog stanja napona primenom slojevitih konačnih elemenata
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3234
ER  - 
@phdthesis{
author = "Jočić, Emilija",
year = "2023",
abstract = "Laminar composites are extensively used in civil engendering due to their exceptional strength,
stiffness, corrosion resistance, and cost-effectiveness. They are ideal for high-reliability applications.
The 21st century’s focus on environmental protection has led to increased use of
natural-based materials like cross-laminated timber (CLT) in building construction. CLT panels
have a high stiffness-to-weight ratio, making them well-suited as load-bearing elements, such as
walls and floors. The optimal design of laminar composites is often hindered by uncertainties
in failure prediction and the computational costs associated with progressive failure analysis
(PFA), particularly for larger structures.
This study introduces a novel prediction model that combines the smeared crack band (SCB)
damage model with the full layerwise theory (FLWT). The aim is to enhance the computational
efficiency of PFA in laminar composites while maintaining the accuracy of 3D finite element
models. The SCB model accurately captures the response of damaged lamina in both fiber
and matrix directions using distinct strain-softening curves, ensuring a precise representation
of post-failure behaviour. The damage law is derived based on the assumption that the total
energy required to cause failure in an element (released strain energy) is equivalent to the energy
necessary to create a crack passing through it. To alleviate mesh dependency, the fracture energy
is scaled by a characteristic element length. Failure initiation and modes are determined using
the Hashin failure criterion. Furthermore, the model is extended to consider different failure
behaviour of timber in tension and compression. This extension enhances the computational
framework’s applicability to the field of computational mechanics for bio-based composites, such
as CLT. The validity of the model is then confirmed through an extensive experimental program
carried out at the Faculty of Civil Engineering, University of Belgrade.
Application of layered finite elements for continuum damage modelling in laminar composites
remains largely unexplored in literature, particularly when combined with the SCB damage
model. The FLWT-based model accurately captures the 3D stress state within each lamina,
including continuous transverse stresses between adjacent layers, crucial for accurate prediction
of failure initiation. Furthermore, the FLWT demonstrates a weak correlation between the size
of the considered domain and the mesh, presenting a notable difference from standard finite
element models. The developed FLWT-SCB prediction model is integrated into an original
FLWTFEM framework, offering a user-friendly graphical environment for easy visualization
of input and output data. The proposed model’s efficiency has been verified using numerous
benchmark examples during progressive failure analyses of laminar composites and CLT panels
with arbitrary geometries, loading and boudary conditions and stacking sequences. The model
has demonstrated its accuracy in predicting the response of both intact and damaged laminar
composites, and valuable recommendations for future research in this field are included., Zbog svojih izuzetnih materijalnih karakteristika u pogledu čvrstoće i krutosti, male sopstvene
težine, otpornosti na koroziju i niskih troškova održavanja, kompozitni laminati imaju potencijal
za upotrebu u građevinarstvu. Sa porastom svesti o zaštiti životne sredine u 21. veku, sve je
češća upotreba prirodnih materijala. U skladu sa tim, u građevinarstvu sve veću popularnost
stiče kompozitni laminat na bazi drveta - unakrsno-lamelirano drvo (CLT). Zbog visokog odnosa
krutosti i sopstvene težine CLT-a, moguće je projektovati elemente male težine i velikog raspona.
Nepouzdanost u predviđanju ponašanja oštećenih kompozitnih laminata, kao i kompleksnost
proračuna progresivnog loma znatno otežavaju njihovo projektovanje.
U okviru ove disertacije je razvijen numerički model za analizu progresivnog loma kompozitnih
laminata, koristeći model razmazane pukotine (eng. "smeared crack band" - SCB) i slojevitu
teoriju ploča. Model poseduje kapacitet trodimenzionalnih numeričkih modela uz smanjeno
trajanje proračuna, čime se povećava efikasnost numeričke analize. Kod SCB modela, ponašanje
oštećene lamine je opisano različitim krivama loma u naponsko-deformacijskom prostoru, kako
bi se u makroskopskom pogledu opisala propagacija oštećenja koje nastaje usled kidanja vlakana
i matrice, respektivno. Zakon omekšavanja materijala je određen na osnovu pretpostavke da je
oslobođena energija deformacije jednaka energiji potrebnoj da dođe do loma vlakana, odnosno
kidanja matrice. Inicijacija i oblici loma su određeni primenom Hashin-ovog kriterijuma loma.
Nakon toga, izvršena je modifikacija modela kako bi se opisalo različito ponašanje drveta pri
zatezanju i pritisku. Na taj način, mogućnosti razvijenog numeričkog modela su proširene
i na analizu progresivnog loma prirodnih kompozitnih laminata, kao što je CLT. Validnost
predloženog modela je potvrđena kroz detaljna eksperimentalna ispitivanja na Građevinskom
fakultetu Univerziteta u Beogradu.
Upotreba slojevitih konačnih elemenata u analizi progresivnog loma je u velikoj meri neistražena
u literaturi, posebno u kombinaciji sa SCB degradacijskim modelima, gde slojeviti model
ploče treba objediniti sa fenomenima mehanike loma. Numerički model, zasnovan na slojevitoj
teoriji ploča, omogućava precizno određivanje prostornog stanja napona, zadovoljavajući uslove
ravnoteže međulaminarnih napona, što je veoma bitno prilikom predviđanja inicijacije loma.
Takođe, pri modeliranju većih konstrukcija, primenom slojevite teorije ploča omogućava se
znatno smanjenje broja konačnih elemenata u poređenju sa postojećim numeričkim modelima.
Razvijeni numerički model je implementiran u FLWTFEM kod, čime je obezbeđeno puno
grafičko okruženje, pogodno za vizualizaciju ulaznih podataka i rezultata proračuna. Efikasnost
predloženog modela je verifikovana korišćenjem brojnih referentnih numeričkih primera, prilikom
analize progresivnog loma kompozitnih laminata i CLT panela sa proizvoljnom geometrijom,
opterećenjem, graničnim uslovima i orijentacijom slojeva. Potvrđena je tačnost predloženog
modela u predviđanju odgovora kako neoštećenih tako i oštećenih kompozitnih laminata, a date
su i važne preporuke za buduća istraživanja u ovoj oblasti.",
publisher = "Univerzitet u Beogradu Građevinski fakultet Beograd",
title = "Progressive failure analysis of laminar composites under three-dimensional stress state using layered finite elements, Analiza progresivnog loma kompozitnih laminata u uslovima prostornog stanja napona primenom slojevitih konačnih elemenata",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3234"
}
Jočić, E.. (2023). Progressive failure analysis of laminar composites under three-dimensional stress state using layered finite elements. 
Univerzitet u Beogradu Građevinski fakultet Beograd..
https://hdl.handle.net/21.15107/rcub_grafar_3234
Jočić E. Progressive failure analysis of laminar composites under three-dimensional stress state using layered finite elements. 2023;.
https://hdl.handle.net/21.15107/rcub_grafar_3234 .
Jočić, Emilija, "Progressive failure analysis of laminar composites under three-dimensional stress state using layered finite elements" (2023),
https://hdl.handle.net/21.15107/rcub_grafar_3234 .

Faktori interakcije šipova u grupi pod dejstvom horizontalnog opterećenja proizvoljnog pravca

Marjanović, Miloš; Vukićević, Mirjana; König, Diethard

(2021)

TY  - JOUR
AU  - Marjanović, Miloš
AU  - Vukićević, Mirjana
AU  - König, Diethard
PY  - 2021
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2929
AB  - Konstrukcije vetroturbina, mostova, industrijskih dimnjaka, potpornih zidova i sl. mogu biti izložene značajnim horizontalnim opterećenjima iz različitih izvora. Ove konstrukcije su često fundirane na grupama šipova. Efekti interakcije šipova u grupi pri horizontalnim opterećenjima su bili predmet istraživanja u poslednjim decenijama, pri čemu je najčešće razmatran slučaj horizontalnog opterećenja u dva ortogonalna pravca (paralelno ivicama grupe šipova). Usled stohastičke prirode, horizontalno opterećenje na grupu šipova može biti proizvoljnog pravca, i broj istraživanja koji razmatra ovaj slučaj opterećenja je relativno mali. U ovom radu prikazani su rezultati istraživanja uticaja horizontalnog opterećenja proizvoljnog pravca na odgovor grupe šipova, u cilju poboljšanja trenutnog koncepta projektovanja ovakvih temelja. Razmatrani su bušeni šipovi fundirani u peskovitom tlu, kroz opsežnu numeričku analizu. Identifikovane su "kritične" pozicije šipova unutar standardnih konfiguracija, diskutovan je uticaj različitih uslova u tlu i date su preporuke za projektovanje ovakvih tipova temeljnih konstrukcija.
T2  - Građevinski Kalendar
T1  - Faktori interakcije šipova u grupi pod dejstvom horizontalnog opterećenja proizvoljnog pravca
VL  - 53
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2929
ER  - 
@article{
author = "Marjanović, Miloš and Vukićević, Mirjana and König, Diethard",
year = "2021",
abstract = "Konstrukcije vetroturbina, mostova, industrijskih dimnjaka, potpornih zidova i sl. mogu biti izložene značajnim horizontalnim opterećenjima iz različitih izvora. Ove konstrukcije su često fundirane na grupama šipova. Efekti interakcije šipova u grupi pri horizontalnim opterećenjima su bili predmet istraživanja u poslednjim decenijama, pri čemu je najčešće razmatran slučaj horizontalnog opterećenja u dva ortogonalna pravca (paralelno ivicama grupe šipova). Usled stohastičke prirode, horizontalno opterećenje na grupu šipova može biti proizvoljnog pravca, i broj istraživanja koji razmatra ovaj slučaj opterećenja je relativno mali. U ovom radu prikazani su rezultati istraživanja uticaja horizontalnog opterećenja proizvoljnog pravca na odgovor grupe šipova, u cilju poboljšanja trenutnog koncepta projektovanja ovakvih temelja. Razmatrani su bušeni šipovi fundirani u peskovitom tlu, kroz opsežnu numeričku analizu. Identifikovane su "kritične" pozicije šipova unutar standardnih konfiguracija, diskutovan je uticaj različitih uslova u tlu i date su preporuke za projektovanje ovakvih tipova temeljnih konstrukcija.",
journal = "Građevinski Kalendar",
title = "Faktori interakcije šipova u grupi pod dejstvom horizontalnog opterećenja proizvoljnog pravca",
volume = "53",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2929"
}
Marjanović, M., Vukićević, M.,& König, D.. (2021). Faktori interakcije šipova u grupi pod dejstvom horizontalnog opterećenja proizvoljnog pravca. in Građevinski Kalendar, 53.
https://hdl.handle.net/21.15107/rcub_grafar_2929
Marjanović M, Vukićević M, König D. Faktori interakcije šipova u grupi pod dejstvom horizontalnog opterećenja proizvoljnog pravca. in Građevinski Kalendar. 2021;53.
https://hdl.handle.net/21.15107/rcub_grafar_2929 .
Marjanović, Miloš, Vukićević, Mirjana, König, Diethard, "Faktori interakcije šipova u grupi pod dejstvom horizontalnog opterećenja proizvoljnog pravca" in Građevinski Kalendar, 53 (2021),
https://hdl.handle.net/21.15107/rcub_grafar_2929 .

Isogeometric approach in dynamic analysis of spatial curved beams

Jočković, Miloš

(2021)

TY  - THES
AU  - Jočković, Miloš
PY  - 2021
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2391
AB  - Accurate numerical modeling of curved beams is of significant importance in different engineering fields. Several challenges can be present during the curved beam formulation, primarily due to the issues regarding the beam geometry, discretization and beam theory assumptions.
In this dissertation, the isogeometric approach is applied in the dynamic analysis of spatial curved beams. A novel beam element was formulated using the Bernoulli - Euler hypothesis and the fundamental relations of the differential geometry, as well as the Cauchy continuum beam model. The geometry of the beam, as well as the displacement, velocity and acceleration fields, were defined using the Non-Uniform Rational B-Spline (NURBS) basis functions, which present the basis concept of the isogeometric approach. Complex geometry of the curved beams can be modeled accurately using NURBS - based isogeometric approach. Formulation of the spatial beam is conducted for the linear case, while the geometrically nonlinear formulation is conducted only for the plane curved beam using an explicit integration procedure. Free and forced vibration analyses of the curved beams are studied. In the latter, the influence of the moving mass on the curved beams is analyzed. The presented approach had shown that, in comparison to the classical finite element method (FEM), a less number of degrees of freedom are required in order to obtain accurate results. Consequently, fewer computational resources are needed to reach the appropriate level of accuracy for the curved beams. This makes the presented approach competitive with the conventional FEM, especially in the analysis of the flexible spatial engineering structures with complex geometry.
AB  - Tačno numeričko modeliranje krivolinijskih grednih nosača je od izuzetnog značaja u mnogim inženjerskim oblastima. Geometrija krivolinijskog grednog nosača, diskretizacija grede kao i potrebne pretpostavke grede, predstavljaju poteškoće prilikom formulacije krivolinijskog grednog elementa.
U ovom radu je primenjen izogeometrijski pristup u dinamičkoj analizi prostornih krivolinijskih grednih nosača. Novi gredni element je definisan primenom Bernuli - Ojlerove pretpostavke, kao i osnovnih relacija diferencijalne geometrije i mehanike kontinuuma Košijeve grede. Geometrija grede, kao i polje pomeranja, brzine i ubrzanja su definisani primenom NURBS baznih funkcija, što predstavlja fundamentalnu osobinu isogeometrijskog pristupa. Složena geometrija krivolinijskog grednog nosača može se tačno modelirati primenom izogeometrijskog pristupa zasnovanog na NURBS baznim funkcijama. Formulacija prostornog krivolinijskog grednog nosača je izvedena u uslovina linearne teorije, dok je geometrijski nelinearna teorija primenjena samo na ravanskom krivolinijskom grednom nosaču, primenom eksplicitne metode integracije. Izvšena je analiza slobodnih i prinudnih vibracija. Analiza prinudnih vibracija je fokusirana na uticaj pokretnog opterećenja na krivolinijski gredni nosač. Primenom date formulacije dobijeni su rezultati zadovoljavajuće tačnosti sa manje stepeni slobode u poredjenju sa klasicnom metodom konačnih elemenata. U sladu sa tim, u cilju dobijanja rezultata zadovoljavajuće tačnosti krivolinijskog grednog nosača nepohodna je primena manje resursa. Ovo čini prikazani pristup konkurentnijim klasičnoj metodi konačnih elemenata u analizi fleksibilnih inženjerskih konstrukcija sa složenom geometrijom.
T2  - Univerzitet u Beogradu
T1  - Isogeometric approach in dynamic analysis of spatial curved beams
T1  - Izogeometrijski pristup u dinamičkoj analizi prostornih krivolinijskih grednih nosača
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2391
ER  - 
@phdthesis{
author = "Jočković, Miloš",
year = "2021",
abstract = "Accurate numerical modeling of curved beams is of significant importance in different engineering fields. Several challenges can be present during the curved beam formulation, primarily due to the issues regarding the beam geometry, discretization and beam theory assumptions.
In this dissertation, the isogeometric approach is applied in the dynamic analysis of spatial curved beams. A novel beam element was formulated using the Bernoulli - Euler hypothesis and the fundamental relations of the differential geometry, as well as the Cauchy continuum beam model. The geometry of the beam, as well as the displacement, velocity and acceleration fields, were defined using the Non-Uniform Rational B-Spline (NURBS) basis functions, which present the basis concept of the isogeometric approach. Complex geometry of the curved beams can be modeled accurately using NURBS - based isogeometric approach. Formulation of the spatial beam is conducted for the linear case, while the geometrically nonlinear formulation is conducted only for the plane curved beam using an explicit integration procedure. Free and forced vibration analyses of the curved beams are studied. In the latter, the influence of the moving mass on the curved beams is analyzed. The presented approach had shown that, in comparison to the classical finite element method (FEM), a less number of degrees of freedom are required in order to obtain accurate results. Consequently, fewer computational resources are needed to reach the appropriate level of accuracy for the curved beams. This makes the presented approach competitive with the conventional FEM, especially in the analysis of the flexible spatial engineering structures with complex geometry., Tačno numeričko modeliranje krivolinijskih grednih nosača je od izuzetnog značaja u mnogim inženjerskim oblastima. Geometrija krivolinijskog grednog nosača, diskretizacija grede kao i potrebne pretpostavke grede, predstavljaju poteškoće prilikom formulacije krivolinijskog grednog elementa.
U ovom radu je primenjen izogeometrijski pristup u dinamičkoj analizi prostornih krivolinijskih grednih nosača. Novi gredni element je definisan primenom Bernuli - Ojlerove pretpostavke, kao i osnovnih relacija diferencijalne geometrije i mehanike kontinuuma Košijeve grede. Geometrija grede, kao i polje pomeranja, brzine i ubrzanja su definisani primenom NURBS baznih funkcija, što predstavlja fundamentalnu osobinu isogeometrijskog pristupa. Složena geometrija krivolinijskog grednog nosača može se tačno modelirati primenom izogeometrijskog pristupa zasnovanog na NURBS baznim funkcijama. Formulacija prostornog krivolinijskog grednog nosača je izvedena u uslovina linearne teorije, dok je geometrijski nelinearna teorija primenjena samo na ravanskom krivolinijskom grednom nosaču, primenom eksplicitne metode integracije. Izvšena je analiza slobodnih i prinudnih vibracija. Analiza prinudnih vibracija je fokusirana na uticaj pokretnog opterećenja na krivolinijski gredni nosač. Primenom date formulacije dobijeni su rezultati zadovoljavajuće tačnosti sa manje stepeni slobode u poredjenju sa klasicnom metodom konačnih elemenata. U sladu sa tim, u cilju dobijanja rezultata zadovoljavajuće tačnosti krivolinijskog grednog nosača nepohodna je primena manje resursa. Ovo čini prikazani pristup konkurentnijim klasičnoj metodi konačnih elemenata u analizi fleksibilnih inženjerskih konstrukcija sa složenom geometrijom.",
journal = "Univerzitet u Beogradu",
title = "Isogeometric approach in dynamic analysis of spatial curved beams, Izogeometrijski pristup u dinamičkoj analizi prostornih krivolinijskih grednih nosača",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2391"
}
Jočković, M.. (2021). Isogeometric approach in dynamic analysis of spatial curved beams. in Univerzitet u Beogradu.
https://hdl.handle.net/21.15107/rcub_grafar_2391
Jočković M. Isogeometric approach in dynamic analysis of spatial curved beams. in Univerzitet u Beogradu. 2021;.
https://hdl.handle.net/21.15107/rcub_grafar_2391 .
Jočković, Miloš, "Isogeometric approach in dynamic analysis of spatial curved beams" in Univerzitet u Beogradu (2021),
https://hdl.handle.net/21.15107/rcub_grafar_2391 .

Linear transient analysis of spatial curved Bernoulli – Euler beam using isogeometric approach

Jočković, Miloš; Nefovska-Danilović, Marija

(Serbian Society of Mechanics, 2021)

TY  - CONF
AU  - Jočković, Miloš
AU  - Nefovska-Danilović, Marija
PY  - 2021
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2392
AB  - In this paper, linear transient analysis of spatial curved Bernoulli – Euler beam with circular cross – section formulated using isogeometric approach has been presented. The isogeometric approach is based on the concept that the geometry of the beam, as well as the displacement field are defined using the Non – Uniform Rational B – Spline (NURBS) functions. Governing equations of motions are derived using the basic relations of the differential geometry and continuum mechanics. In order to conduct transient analysis, time discretization has been employed using explicit integration scheme. The validation of the proposed method has been carried out for the spatial curved cantilever beam subjected to the point load with constant magnitude. The results of the free end displacements obtained using proposed method have shown excellent convergence properties and agreement with the results obtained using finite element-based software. In comparison to the conventional finite element method, less number of degrees of freedom are required in order to obtain accurate results.
PB  - Serbian Society of Mechanics
C3  - Proceedings of 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30, 2021
T1  - Linear transient analysis of spatial curved Bernoulli – Euler beam using isogeometric approach
EP  - 201
SP  - 194
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2392
ER  - 
@conference{
author = "Jočković, Miloš and Nefovska-Danilović, Marija",
year = "2021",
abstract = "In this paper, linear transient analysis of spatial curved Bernoulli – Euler beam with circular cross – section formulated using isogeometric approach has been presented. The isogeometric approach is based on the concept that the geometry of the beam, as well as the displacement field are defined using the Non – Uniform Rational B – Spline (NURBS) functions. Governing equations of motions are derived using the basic relations of the differential geometry and continuum mechanics. In order to conduct transient analysis, time discretization has been employed using explicit integration scheme. The validation of the proposed method has been carried out for the spatial curved cantilever beam subjected to the point load with constant magnitude. The results of the free end displacements obtained using proposed method have shown excellent convergence properties and agreement with the results obtained using finite element-based software. In comparison to the conventional finite element method, less number of degrees of freedom are required in order to obtain accurate results.",
publisher = "Serbian Society of Mechanics",
journal = "Proceedings of 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30, 2021",
title = "Linear transient analysis of spatial curved Bernoulli – Euler beam using isogeometric approach",
pages = "201-194",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2392"
}
Jočković, M.,& Nefovska-Danilović, M.. (2021). Linear transient analysis of spatial curved Bernoulli – Euler beam using isogeometric approach. in Proceedings of 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30, 2021
Serbian Society of Mechanics., 194-201.
https://hdl.handle.net/21.15107/rcub_grafar_2392
Jočković M, Nefovska-Danilović M. Linear transient analysis of spatial curved Bernoulli – Euler beam using isogeometric approach. in Proceedings of 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30, 2021. 2021;:194-201.
https://hdl.handle.net/21.15107/rcub_grafar_2392 .
Jočković, Miloš, Nefovska-Danilović, Marija, "Linear transient analysis of spatial curved Bernoulli – Euler beam using isogeometric approach" in Proceedings of 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30, 2021 (2021):194-201,
https://hdl.handle.net/21.15107/rcub_grafar_2392 .

Object-oriented framework for 3D bending and free vibration analysis of multilayer plates: Application to cross-laminated timber and soft-core sandwich panels

Marjanović, Miroslav; Meschke, Günther; Damnjanović, Emilija

(Elsevier, 2021)

TY  - JOUR
AU  - Marjanović, Miroslav
AU  - Meschke, Günther
AU  - Damnjanović, Emilija
PY  - 2021
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2070
AB  - In the paper, the main steps involved in the development of an object-oriented computational framework for the 3D bending and free vibration analysis of multilayer plates are presented. The mathematical formulation for layered finite elements is based on Reddy’s plate theory for laminated composites. The analysis model has been implemented into Matlab, and the pre- and post-processing phases are performed using GiD. The proposed solver is characterized by a fast assembly procedure of sparse matrices using matrix vectorization, and a novel algorithm for the evaluation of interlaminar stresses satisfying continuity at layer interfaces. The performance, efficiency and accuracy of the computational framework are demonstrated through a number of validation examples by comparing the obtained results against the exact solution. Results from both static and dynamic analyses of multilayer panels are shown.
PB  - Elsevier
T2  - Composite Structures
T1  - Object-oriented framework for 3D bending and free vibration analysis of multilayer plates: Application to cross-laminated timber and soft-core sandwich panels
SP  - 112859
VL  - 255
DO  - 10.1016/j.compstruct.2020.112859
ER  - 
@article{
author = "Marjanović, Miroslav and Meschke, Günther and Damnjanović, Emilija",
year = "2021",
abstract = "In the paper, the main steps involved in the development of an object-oriented computational framework for the 3D bending and free vibration analysis of multilayer plates are presented. The mathematical formulation for layered finite elements is based on Reddy’s plate theory for laminated composites. The analysis model has been implemented into Matlab, and the pre- and post-processing phases are performed using GiD. The proposed solver is characterized by a fast assembly procedure of sparse matrices using matrix vectorization, and a novel algorithm for the evaluation of interlaminar stresses satisfying continuity at layer interfaces. The performance, efficiency and accuracy of the computational framework are demonstrated through a number of validation examples by comparing the obtained results against the exact solution. Results from both static and dynamic analyses of multilayer panels are shown.",
publisher = "Elsevier",
journal = "Composite Structures",
title = "Object-oriented framework for 3D bending and free vibration analysis of multilayer plates: Application to cross-laminated timber and soft-core sandwich panels",
pages = "112859",
volume = "255",
doi = "10.1016/j.compstruct.2020.112859"
}
Marjanović, M., Meschke, G.,& Damnjanović, E.. (2021). Object-oriented framework for 3D bending and free vibration analysis of multilayer plates: Application to cross-laminated timber and soft-core sandwich panels. in Composite Structures
Elsevier., 255, 112859.
https://doi.org/10.1016/j.compstruct.2020.112859
Marjanović M, Meschke G, Damnjanović E. Object-oriented framework for 3D bending and free vibration analysis of multilayer plates: Application to cross-laminated timber and soft-core sandwich panels. in Composite Structures. 2021;255:112859.
doi:10.1016/j.compstruct.2020.112859 .
Marjanović, Miroslav, Meschke, Günther, Damnjanović, Emilija, "Object-oriented framework for 3D bending and free vibration analysis of multilayer plates: Application to cross-laminated timber and soft-core sandwich panels" in Composite Structures, 255 (2021):112859,
https://doi.org/10.1016/j.compstruct.2020.112859 . .
3
3

Flexible Pile Group Interaction Factors under Arbitrary Lateral Loading in Sand

Marjanović, Miloš; Vukićević, Mirjana; König, Diethard

(MDPI, 2020)

TY  - JOUR
AU  - Marjanović, Miloš
AU  - Vukićević, Mirjana
AU  - König, Diethard
PY  - 2020
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2089
AB  - Marine and harbor structures, wind turbines, bridges, offshore platforms, industrial
chimneys, retaining structures etc. can be subjected to significant lateral loads from various sources. Appropriate assessment of the foundations capacity of these structures is thus necessary, especially when these structures are supported by pile groups. The pile group interaction effects under lateral loading have been investigated intensively in past decades, and the most of the conducted studies have considered lateral loading that acts along one of the two orthogonal directions, parallel to the edge of pile group. However, because of the stochastic nature of its source, the horizontal loading on the pile group may have arbitrary direction. The number of studies dealing with the pile groups under arbitrary loading is very limited. The aim of this paper is to investigate the influence of the arbitrary lateral loading on the pile group response, in order to improve (extend) the current design approach for laterally loaded pile groups. Free head, flexible bored piles in sand were analyzed through the extensive numerical study. The main hypothesis of the research is that some critical pile group configurations, loading directions, and soil conditions exist, which can lead to the unsafe structural design. Critical pile positions inside the commonly used pile group configurations are identified with respect to loading directions. The influence of different soil conditions was discussed.
PB  - MDPI
T2  - Journal of Marine Science and Engineering
T1  - Flexible Pile Group Interaction Factors under Arbitrary Lateral Loading in Sand
IS  - 8
DO  - 10.3390/jmse8100800
ER  - 
@article{
author = "Marjanović, Miloš and Vukićević, Mirjana and König, Diethard",
year = "2020",
abstract = "Marine and harbor structures, wind turbines, bridges, offshore platforms, industrial
chimneys, retaining structures etc. can be subjected to significant lateral loads from various sources. Appropriate assessment of the foundations capacity of these structures is thus necessary, especially when these structures are supported by pile groups. The pile group interaction effects under lateral loading have been investigated intensively in past decades, and the most of the conducted studies have considered lateral loading that acts along one of the two orthogonal directions, parallel to the edge of pile group. However, because of the stochastic nature of its source, the horizontal loading on the pile group may have arbitrary direction. The number of studies dealing with the pile groups under arbitrary loading is very limited. The aim of this paper is to investigate the influence of the arbitrary lateral loading on the pile group response, in order to improve (extend) the current design approach for laterally loaded pile groups. Free head, flexible bored piles in sand were analyzed through the extensive numerical study. The main hypothesis of the research is that some critical pile group configurations, loading directions, and soil conditions exist, which can lead to the unsafe structural design. Critical pile positions inside the commonly used pile group configurations are identified with respect to loading directions. The influence of different soil conditions was discussed.",
publisher = "MDPI",
journal = "Journal of Marine Science and Engineering",
title = "Flexible Pile Group Interaction Factors under Arbitrary Lateral Loading in Sand",
number = "8",
doi = "10.3390/jmse8100800"
}
Marjanović, M., Vukićević, M.,& König, D.. (2020). Flexible Pile Group Interaction Factors under Arbitrary Lateral Loading in Sand. in Journal of Marine Science and Engineering
MDPI.(8).
https://doi.org/10.3390/jmse8100800
Marjanović M, Vukićević M, König D. Flexible Pile Group Interaction Factors under Arbitrary Lateral Loading in Sand. in Journal of Marine Science and Engineering. 2020;(8).
doi:10.3390/jmse8100800 .
Marjanović, Miloš, Vukićević, Mirjana, König, Diethard, "Flexible Pile Group Interaction Factors under Arbitrary Lateral Loading in Sand" in Journal of Marine Science and Engineering, no. 8 (2020),
https://doi.org/10.3390/jmse8100800 . .
7
3
6

Analysis of Interaction inside the pile group subjected to arbitrary horizontal loading

Marjanović, Miloš

(2020)

TY  - THES
AU  - Marjanović, Miloš
PY  - 2020
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2181
AB  - The analysis of pile groups subjected to horizontal loading in one of two orthogonal directions is
a common problem in geotechnical engineering. However, the above analysis should sometimes
be extended with the additional cases of horizontal loading, in arbitrary direction. Although the
full scale experiments can provide the best insight into the above problem, they are expensive
and therefore not feasible solution. Instead, numerical (i.e. fi nite element) analysis usually
remains the ultimate tool for large scope studies.
The main objective of this research is the improvement of the analysis methodology of pile
group for the case of arbitrary static horizontal loading. Its influence is investigated numerically
to check for the existence of the "critical" pile group con figurations and soil conditions, that
may lead to the failure of the foundation structure and superstructure itself.
To reach the above objective, apriori sensitivity analysis of the considered problem and
identifi cation of the main problem parameters are conducted in the  first phase. After that, series
of complex 3D numerical models for laterally loaded pile group analysis have been generated
using PLAXIS 3D. Model validation is done by the back-calculation of available experimental
results. Parametric study of pile groups with various con figurations under arbitrary horizontal
loading is performed, with an emphasis on pile force distribution, bending response and pile
group efficiency.
Modelling and simulation processes and the optimization of the calculation time were improved
using the originally developed codes in Python. The use of multiple computers was
allowed by using the author's scripts developed within the thesis. The above research resulted
in thousands of numerical simulations, whose  findings provided the improved design methodology
of pile groups under arbitrary static horizontal loading.
T1  - Analysis of Interaction inside the pile group subjected to arbitrary horizontal loading
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2181
ER  - 
@phdthesis{
author = "Marjanović, Miloš",
year = "2020",
abstract = "The analysis of pile groups subjected to horizontal loading in one of two orthogonal directions is
a common problem in geotechnical engineering. However, the above analysis should sometimes
be extended with the additional cases of horizontal loading, in arbitrary direction. Although the
full scale experiments can provide the best insight into the above problem, they are expensive
and therefore not feasible solution. Instead, numerical (i.e. fi nite element) analysis usually
remains the ultimate tool for large scope studies.
The main objective of this research is the improvement of the analysis methodology of pile
group for the case of arbitrary static horizontal loading. Its influence is investigated numerically
to check for the existence of the "critical" pile group con figurations and soil conditions, that
may lead to the failure of the foundation structure and superstructure itself.
To reach the above objective, apriori sensitivity analysis of the considered problem and
identifi cation of the main problem parameters are conducted in the  first phase. After that, series
of complex 3D numerical models for laterally loaded pile group analysis have been generated
using PLAXIS 3D. Model validation is done by the back-calculation of available experimental
results. Parametric study of pile groups with various con figurations under arbitrary horizontal
loading is performed, with an emphasis on pile force distribution, bending response and pile
group efficiency.
Modelling and simulation processes and the optimization of the calculation time were improved
using the originally developed codes in Python. The use of multiple computers was
allowed by using the author's scripts developed within the thesis. The above research resulted
in thousands of numerical simulations, whose  findings provided the improved design methodology
of pile groups under arbitrary static horizontal loading.",
title = "Analysis of Interaction inside the pile group subjected to arbitrary horizontal loading",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2181"
}
Marjanović, M.. (2020). Analysis of Interaction inside the pile group subjected to arbitrary horizontal loading. .
https://hdl.handle.net/21.15107/rcub_grafar_2181
Marjanović M. Analysis of Interaction inside the pile group subjected to arbitrary horizontal loading. 2020;.
https://hdl.handle.net/21.15107/rcub_grafar_2181 .
Marjanović, Miloš, "Analysis of Interaction inside the pile group subjected to arbitrary horizontal loading" (2020),
https://hdl.handle.net/21.15107/rcub_grafar_2181 .

Dynamic stiffness – based free vibration study of open circular cylindrical shells

Kolarević, Nevenka; Nefovska-Danilović, Marija

(Elsevier, 2020)

TY  - JOUR
AU  - Kolarević, Nevenka
AU  - Nefovska-Danilović, Marija
PY  - 2020
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2054
AB  - In this paper, the dynamic stiffness method has been applied in the free vibration analysis of open circular cylindrical shells based on Flügge thin shell theory. The dynamic stiffness matrix for a completely free open cylindrical shell element has been derived and coded in MATLAB to compute the natural frequencies and mode shapes. The results of the numerical study have been compared with the results from the finite element analysis, as well as with the results from the literature. After a detailed convergence study, considering the number of terms in the proposed solution, applied boundary conditions and geometry, limitations and recommendations for application of the proposed method have been given.
PB  - Elsevier
T2  - Journal of Sound and Vibration
T1  - Dynamic stiffness – based free vibration study of open circular cylindrical shells
VL  - 486
DO  - 10.1016/j.jsv.2020.115600
ER  - 
@article{
author = "Kolarević, Nevenka and Nefovska-Danilović, Marija",
year = "2020",
abstract = "In this paper, the dynamic stiffness method has been applied in the free vibration analysis of open circular cylindrical shells based on Flügge thin shell theory. The dynamic stiffness matrix for a completely free open cylindrical shell element has been derived and coded in MATLAB to compute the natural frequencies and mode shapes. The results of the numerical study have been compared with the results from the finite element analysis, as well as with the results from the literature. After a detailed convergence study, considering the number of terms in the proposed solution, applied boundary conditions and geometry, limitations and recommendations for application of the proposed method have been given.",
publisher = "Elsevier",
journal = "Journal of Sound and Vibration",
title = "Dynamic stiffness – based free vibration study of open circular cylindrical shells",
volume = "486",
doi = "10.1016/j.jsv.2020.115600"
}
Kolarević, N.,& Nefovska-Danilović, M.. (2020). Dynamic stiffness – based free vibration study of open circular cylindrical shells. in Journal of Sound and Vibration
Elsevier., 486.
https://doi.org/10.1016/j.jsv.2020.115600
Kolarević N, Nefovska-Danilović M. Dynamic stiffness – based free vibration study of open circular cylindrical shells. in Journal of Sound and Vibration. 2020;486.
doi:10.1016/j.jsv.2020.115600 .
Kolarević, Nevenka, Nefovska-Danilović, Marija, "Dynamic stiffness – based free vibration study of open circular cylindrical shells" in Journal of Sound and Vibration, 486 (2020),
https://doi.org/10.1016/j.jsv.2020.115600 . .
10
2
10

Vibrations of rectangular flexible foundation on halfspace

Radišić, Marko; Petronijević, Mira; Müller, Gerhard

(EASD Procedia, 2020)

TY  - CONF
AU  - Radišić, Marko
AU  - Petronijević, Mira
AU  - Müller, Gerhard
PY  - 2020
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2182
AB  - A semi-analytical method deals with vertical vibrations of a massive, flexible rectangular foundation smoothly jointed to an elastic, homogeneous halfspace is presented. The method is based on the solution in frequency domain that represents a combination of the Integral Transform Method (ITM) used for the soil and the Dynamic Stiffness Method (DSM) used for the foundation. The coupling of the foundation and the soil is established using the modal superposition technique. The influence of the foundation mass and the foundation stiffness on the response of the system is analyzed. The accuracy of the results obtained by using the proposed technique is also discussed.
PB  - EASD Procedia
C3  - XI International Conference on Structural Dynamics - EURODYN 2020
T1  - Vibrations of rectangular flexible foundation on halfspace
EP  - 2867
SP  - 2857
DO  - 10.47964/1120.9234.19268
ER  - 
@conference{
author = "Radišić, Marko and Petronijević, Mira and Müller, Gerhard",
year = "2020",
abstract = "A semi-analytical method deals with vertical vibrations of a massive, flexible rectangular foundation smoothly jointed to an elastic, homogeneous halfspace is presented. The method is based on the solution in frequency domain that represents a combination of the Integral Transform Method (ITM) used for the soil and the Dynamic Stiffness Method (DSM) used for the foundation. The coupling of the foundation and the soil is established using the modal superposition technique. The influence of the foundation mass and the foundation stiffness on the response of the system is analyzed. The accuracy of the results obtained by using the proposed technique is also discussed.",
publisher = "EASD Procedia",
journal = "XI International Conference on Structural Dynamics - EURODYN 2020",
title = "Vibrations of rectangular flexible foundation on halfspace",
pages = "2867-2857",
doi = "10.47964/1120.9234.19268"
}
Radišić, M., Petronijević, M.,& Müller, G.. (2020). Vibrations of rectangular flexible foundation on halfspace. in XI International Conference on Structural Dynamics - EURODYN 2020
EASD Procedia., 2857-2867.
https://doi.org/10.47964/1120.9234.19268
Radišić M, Petronijević M, Müller G. Vibrations of rectangular flexible foundation on halfspace. in XI International Conference on Structural Dynamics - EURODYN 2020. 2020;:2857-2867.
doi:10.47964/1120.9234.19268 .
Radišić, Marko, Petronijević, Mira, Müller, Gerhard, "Vibrations of rectangular flexible foundation on halfspace" in XI International Conference on Structural Dynamics - EURODYN 2020 (2020):2857-2867,
https://doi.org/10.47964/1120.9234.19268 . .

Three-dimensional stress analysis and design of cross-laminated timber panels using full-layerwise-theory-based finite element method

Marjanović, Miroslav; Marković, Nemanja; Damnjanović, Emilija; Cvetković, Radovan

(Elsevier, 2020)

TY  - JOUR
AU  - Marjanović, Miroslav
AU  - Marković, Nemanja
AU  - Damnjanović, Emilija
AU  - Cvetković, Radovan
PY  - 2020
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2075
AB  - Cross-laminated timber (CLT) panels have an increasing market share and extensive application in civil engineering, as full size walls or light floor structures. Due to their low environmental impact, excellent thermal characteristics and high mechanical performance, they are being extensively applied instead of conventional mineral-based building materials. The thick and orthogonal structure of CLT provides the considerable stiffness with the low weight and makes such panels particularly suitable in seismic-prone areas. The ease of assembly allows prefabrication and reduces construction time and cost.
Current models for calculating the stress-deformation state of a CLT loaded out-of-plane mainly emerged from the long tradition of using very simple one-dimensional (beam-like) elements in timber structures. The paper tends to overcome some limitations of the current models by using the full-layerwise plate theory (FLWT) of Reddy, serving as a basis for the implementation of layered finite elements. The proposed model accounts for the complex 3D stress state in CLT loaded out-of-plane and implies an original procedure for stress calculation. It is implemented using the original object-oriented MATLAB framework, while the graphical user interface for pre- and post-processing is developed using GiD.
The presented approach is validated using the available numerical and experimental data in the literature, and compared against the commonly used methods for the design of CLT. Finally, the 3D stress-deformation state in the CLT slab of complex shape (commonly used in building structures) is obtained using the FLWT-based finite elements. The results are validated against the numerical data from the commercial software, and then used for checking of the ultimate and serviceability limit states for CLT slab according to Eurocode 5. Excellent agreement of the obtained results confirmed the potential of the proposed model to become a promising tool for engineering design of CLT slabs of arbitrary geometry.
PB  - Elsevier
T2  - Thin-Walled Structures
T1  - Three-dimensional stress analysis and design of cross-laminated timber panels using full-layerwise-theory-based finite element method
SP  - 107156
VL  - 157
DO  - 10.1016/j.tws.2020.107156
ER  - 
@article{
author = "Marjanović, Miroslav and Marković, Nemanja and Damnjanović, Emilija and Cvetković, Radovan",
year = "2020",
abstract = "Cross-laminated timber (CLT) panels have an increasing market share and extensive application in civil engineering, as full size walls or light floor structures. Due to their low environmental impact, excellent thermal characteristics and high mechanical performance, they are being extensively applied instead of conventional mineral-based building materials. The thick and orthogonal structure of CLT provides the considerable stiffness with the low weight and makes such panels particularly suitable in seismic-prone areas. The ease of assembly allows prefabrication and reduces construction time and cost.
Current models for calculating the stress-deformation state of a CLT loaded out-of-plane mainly emerged from the long tradition of using very simple one-dimensional (beam-like) elements in timber structures. The paper tends to overcome some limitations of the current models by using the full-layerwise plate theory (FLWT) of Reddy, serving as a basis for the implementation of layered finite elements. The proposed model accounts for the complex 3D stress state in CLT loaded out-of-plane and implies an original procedure for stress calculation. It is implemented using the original object-oriented MATLAB framework, while the graphical user interface for pre- and post-processing is developed using GiD.
The presented approach is validated using the available numerical and experimental data in the literature, and compared against the commonly used methods for the design of CLT. Finally, the 3D stress-deformation state in the CLT slab of complex shape (commonly used in building structures) is obtained using the FLWT-based finite elements. The results are validated against the numerical data from the commercial software, and then used for checking of the ultimate and serviceability limit states for CLT slab according to Eurocode 5. Excellent agreement of the obtained results confirmed the potential of the proposed model to become a promising tool for engineering design of CLT slabs of arbitrary geometry.",
publisher = "Elsevier",
journal = "Thin-Walled Structures",
title = "Three-dimensional stress analysis and design of cross-laminated timber panels using full-layerwise-theory-based finite element method",
pages = "107156",
volume = "157",
doi = "10.1016/j.tws.2020.107156"
}
Marjanović, M., Marković, N., Damnjanović, E.,& Cvetković, R.. (2020). Three-dimensional stress analysis and design of cross-laminated timber panels using full-layerwise-theory-based finite element method. in Thin-Walled Structures
Elsevier., 157, 107156.
https://doi.org/10.1016/j.tws.2020.107156
Marjanović M, Marković N, Damnjanović E, Cvetković R. Three-dimensional stress analysis and design of cross-laminated timber panels using full-layerwise-theory-based finite element method. in Thin-Walled Structures. 2020;157:107156.
doi:10.1016/j.tws.2020.107156 .
Marjanović, Miroslav, Marković, Nemanja, Damnjanović, Emilija, Cvetković, Radovan, "Three-dimensional stress analysis and design of cross-laminated timber panels using full-layerwise-theory-based finite element method" in Thin-Walled Structures, 157 (2020):107156,
https://doi.org/10.1016/j.tws.2020.107156 . .
10
1
10

The alternatives to traditional materials for subsoil stabilization and embankments

Vukićević, Mirjana; Marjanović, Miloš; Pujević, Veljko; Jocković, Sanja

(MDPI, 2019)

TY  - JOUR
AU  - Vukićević, Mirjana
AU  - Marjanović, Miloš
AU  - Pujević, Veljko
AU  - Jocković, Sanja
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1763
AB  - Major infrastructure projects require significant amount of natural materials, often followed by the soft soil stabilization using hydraulic binders. This paper presents the results of a laboratory study of alternative waste materials (fly ash and slag) that can be used for earthworks. Results of high plasticity clay stabilization using fly ash from Serbian power plants are presented in the first part. In the second part of the paper, engineering properties of ash and ash-slag mixtures are discussed with the emphasis on the application in road subgrade and embankment construction. Physical and mechanical properties were determined via following laboratory tests: Specific gravity, grain size distribution, the moisture–density relationship (Proctor compaction test), unconfined compressive strength (UCS), oedometer and swell tests, direct shear and the California bearing ratio (CBR). The results indicate the positive effects of the clay stabilization using fly ash, in terms of increasing strength and stiffness and reducing expansivity. Fly ashes and ash-slag mixtures have also comparable mechanical properties with sands, which in combination with multiple other benefits (lower energy consumption and CO2 emission, saving of natural materials and smaller waste landfill areas), make them suitable fill materials for embankments, especially considering the necessity for sustainable development.
PB  - MDPI
T2  - Materials
T1  - The alternatives to traditional materials for subsoil stabilization and embankments
IS  - 18
SP  - 3018
VL  - 12
DO  - 10.3390/ma12183018
ER  - 
@article{
author = "Vukićević, Mirjana and Marjanović, Miloš and Pujević, Veljko and Jocković, Sanja",
year = "2019",
abstract = "Major infrastructure projects require significant amount of natural materials, often followed by the soft soil stabilization using hydraulic binders. This paper presents the results of a laboratory study of alternative waste materials (fly ash and slag) that can be used for earthworks. Results of high plasticity clay stabilization using fly ash from Serbian power plants are presented in the first part. In the second part of the paper, engineering properties of ash and ash-slag mixtures are discussed with the emphasis on the application in road subgrade and embankment construction. Physical and mechanical properties were determined via following laboratory tests: Specific gravity, grain size distribution, the moisture–density relationship (Proctor compaction test), unconfined compressive strength (UCS), oedometer and swell tests, direct shear and the California bearing ratio (CBR). The results indicate the positive effects of the clay stabilization using fly ash, in terms of increasing strength and stiffness and reducing expansivity. Fly ashes and ash-slag mixtures have also comparable mechanical properties with sands, which in combination with multiple other benefits (lower energy consumption and CO2 emission, saving of natural materials and smaller waste landfill areas), make them suitable fill materials for embankments, especially considering the necessity for sustainable development.",
publisher = "MDPI",
journal = "Materials",
title = "The alternatives to traditional materials for subsoil stabilization and embankments",
number = "18",
pages = "3018",
volume = "12",
doi = "10.3390/ma12183018"
}
Vukićević, M., Marjanović, M., Pujević, V.,& Jocković, S.. (2019). The alternatives to traditional materials for subsoil stabilization and embankments. in Materials
MDPI., 12(18), 3018.
https://doi.org/10.3390/ma12183018
Vukićević M, Marjanović M, Pujević V, Jocković S. The alternatives to traditional materials for subsoil stabilization and embankments. in Materials. 2019;12(18):3018.
doi:10.3390/ma12183018 .
Vukićević, Mirjana, Marjanović, Miloš, Pujević, Veljko, Jocković, Sanja, "The alternatives to traditional materials for subsoil stabilization and embankments" in Materials, 12, no. 18 (2019):3018,
https://doi.org/10.3390/ma12183018 . .
19
7
19

Free vibration analysis of curved spatial Bernoulli-Euler beam with circular cross section using isogeometric approach

Jočković, Miloš; Radenković, Gligor; Nefovska-Danilović, Marija

(2019)

TY  - CONF
AU  - Jočković, Miloš
AU  - Radenković, Gligor
AU  - Nefovska-Danilović, Marija
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2072
AB  - In this paper the linear free vibration analysis of an arbitrarily curved spatial Bernoulli – Euler beam with circular cross section using isogeometric approach has been presented. In order to carry out free vibration analysis of the beam, the stiffness and mass matrices have been derived using basic properties of the continuum mechanics and differential geometry. The isogeometric approach is based on the idea that both the geometry and the displacement fields are described using the same basis functions - NURBS (Non – Uniform Rational B – Spline). The validation of
the proposed approach has been carried out on the spatial beam with arbitrary shape. Natural frequencies and mode shapes have shown good agreement with the results obtained using software based on classical finite element method.
T1  - Free vibration analysis of curved spatial Bernoulli-Euler beam with circular cross section using isogeometric approach
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2072
ER  - 
@conference{
author = "Jočković, Miloš and Radenković, Gligor and Nefovska-Danilović, Marija",
year = "2019",
abstract = "In this paper the linear free vibration analysis of an arbitrarily curved spatial Bernoulli – Euler beam with circular cross section using isogeometric approach has been presented. In order to carry out free vibration analysis of the beam, the stiffness and mass matrices have been derived using basic properties of the continuum mechanics and differential geometry. The isogeometric approach is based on the idea that both the geometry and the displacement fields are described using the same basis functions - NURBS (Non – Uniform Rational B – Spline). The validation of
the proposed approach has been carried out on the spatial beam with arbitrary shape. Natural frequencies and mode shapes have shown good agreement with the results obtained using software based on classical finite element method.",
title = "Free vibration analysis of curved spatial Bernoulli-Euler beam with circular cross section using isogeometric approach",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2072"
}
Jočković, M., Radenković, G.,& Nefovska-Danilović, M.. (2019). Free vibration analysis of curved spatial Bernoulli-Euler beam with circular cross section using isogeometric approach. .
https://hdl.handle.net/21.15107/rcub_grafar_2072
Jočković M, Radenković G, Nefovska-Danilović M. Free vibration analysis of curved spatial Bernoulli-Euler beam with circular cross section using isogeometric approach. 2019;.
https://hdl.handle.net/21.15107/rcub_grafar_2072 .
Jočković, Miloš, Radenković, Gligor, Nefovska-Danilović, Marija, "Free vibration analysis of curved spatial Bernoulli-Euler beam with circular cross section using isogeometric approach" (2019),
https://hdl.handle.net/21.15107/rcub_grafar_2072 .

Development of dynamic stiffness method for free vibration analysis of plate structures

Marjanović, Miroslav; Nefovska-Danilović, Marija; Petronijević, Mira

(University Ss. Cyril and Methodius, Faculty of Civil Engineering, Skopje, 2019)

TY  - JOUR
AU  - Marjanović, Miroslav
AU  - Nefovska-Danilović, Marija
AU  - Petronijević, Mira
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1842
AB  - In the paper, an overview of the development of the dynamic-stiffness-method-based computational model for the free vibration analysis of plates has been presented. Starting from several formulations of the so-called dynamic stiffness elements, formulated at the Institute for Numerical Analysis and Design of Structures (INP) at the Faculty of Civil Engineering, University of Belgrade in the last decade, a novel software framework FREEVIB has been developed and validated. FREEVIB is object-oriented software in Python environment, designed to predict free vibration characteristics in a wide range of possible structural problems (stepped, stiffened and folded plate structures, implying isotropic or orthotropic material formulations). The presented methodology still serves as a strong basis for further improvements through the extensive research efforts of authors, their collaborators and students.
PB  - University Ss. Cyril and Methodius, Faculty of Civil Engineering, Skopje
T2  - Scientific Journal of Civil Engineering
T1  - Development of dynamic stiffness method for free vibration analysis of plate structures
EP  - 74
IS  - 2
SP  - 69
VL  - 8
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1842
ER  - 
@article{
author = "Marjanović, Miroslav and Nefovska-Danilović, Marija and Petronijević, Mira",
year = "2019",
abstract = "In the paper, an overview of the development of the dynamic-stiffness-method-based computational model for the free vibration analysis of plates has been presented. Starting from several formulations of the so-called dynamic stiffness elements, formulated at the Institute for Numerical Analysis and Design of Structures (INP) at the Faculty of Civil Engineering, University of Belgrade in the last decade, a novel software framework FREEVIB has been developed and validated. FREEVIB is object-oriented software in Python environment, designed to predict free vibration characteristics in a wide range of possible structural problems (stepped, stiffened and folded plate structures, implying isotropic or orthotropic material formulations). The presented methodology still serves as a strong basis for further improvements through the extensive research efforts of authors, their collaborators and students.",
publisher = "University Ss. Cyril and Methodius, Faculty of Civil Engineering, Skopje",
journal = "Scientific Journal of Civil Engineering",
title = "Development of dynamic stiffness method for free vibration analysis of plate structures",
pages = "74-69",
number = "2",
volume = "8",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1842"
}
Marjanović, M., Nefovska-Danilović, M.,& Petronijević, M.. (2019). Development of dynamic stiffness method for free vibration analysis of plate structures. in Scientific Journal of Civil Engineering
University Ss. Cyril and Methodius, Faculty of Civil Engineering, Skopje., 8(2), 69-74.
https://hdl.handle.net/21.15107/rcub_grafar_1842
Marjanović M, Nefovska-Danilović M, Petronijević M. Development of dynamic stiffness method for free vibration analysis of plate structures. in Scientific Journal of Civil Engineering. 2019;8(2):69-74.
https://hdl.handle.net/21.15107/rcub_grafar_1842 .
Marjanović, Miroslav, Nefovska-Danilović, Marija, Petronijević, Mira, "Development of dynamic stiffness method for free vibration analysis of plate structures" in Scientific Journal of Civil Engineering, 8, no. 2 (2019):69-74,
https://hdl.handle.net/21.15107/rcub_grafar_1842 .

Free vibration analysis of multiple cracked frames using dynamic stiffness method

Milojević, Marija; Nefovska-Danilović, Marija; Marjanović, Miroslav

(2019)

TY  - CONF
AU  - Milojević, Marija
AU  - Nefovska-Danilović, Marija
AU  - Marjanović, Miroslav
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1726
AB  - Cracks are the most common type of structural damage in many engineering structures,
introducing the local change in stiffness of structural elements and changing the dynamic
properties of the structure. Therefore, it is of great importance to detect and locate the existing
structural damage in its early phase to prevent crack propagation.
In the paper, free vibration analysis of beams and frames with multiple cracks has been
carried out. First, the dynamic stiffness matrix of beam element with multiple cracks based on
Bernoulli-Euler theory has been derived. Using the developed model, extensive free vibration
study of multiple-cracked frame structures has been conducted. Original Matlab code has
been developed for the derivation of natural frequencies and plot of mode shapes.
After the validation of the model against the existing data from the literature, several
benchmark examples are provided. As expected, increasing size and number of cracks lead to
decrease of natural frequencies due to the local stiffness degradation.
C3  - Proceedings / The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, June 24-26, 2019, 2019
T1  - Free vibration analysis of multiple cracked frames using dynamic stiffness method
SP  - s5a
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1726
ER  - 
@conference{
author = "Milojević, Marija and Nefovska-Danilović, Marija and Marjanović, Miroslav",
year = "2019",
abstract = "Cracks are the most common type of structural damage in many engineering structures,
introducing the local change in stiffness of structural elements and changing the dynamic
properties of the structure. Therefore, it is of great importance to detect and locate the existing
structural damage in its early phase to prevent crack propagation.
In the paper, free vibration analysis of beams and frames with multiple cracks has been
carried out. First, the dynamic stiffness matrix of beam element with multiple cracks based on
Bernoulli-Euler theory has been derived. Using the developed model, extensive free vibration
study of multiple-cracked frame structures has been conducted. Original Matlab code has
been developed for the derivation of natural frequencies and plot of mode shapes.
After the validation of the model against the existing data from the literature, several
benchmark examples are provided. As expected, increasing size and number of cracks lead to
decrease of natural frequencies due to the local stiffness degradation.",
journal = "Proceedings / The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, June 24-26, 2019, 2019",
title = "Free vibration analysis of multiple cracked frames using dynamic stiffness method",
pages = "s5a",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1726"
}
Milojević, M., Nefovska-Danilović, M.,& Marjanović, M.. (2019). Free vibration analysis of multiple cracked frames using dynamic stiffness method. in Proceedings / The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, June 24-26, 2019, 2019, s5a.
https://hdl.handle.net/21.15107/rcub_grafar_1726
Milojević M, Nefovska-Danilović M, Marjanović M. Free vibration analysis of multiple cracked frames using dynamic stiffness method. in Proceedings / The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, June 24-26, 2019, 2019. 2019;:s5a.
https://hdl.handle.net/21.15107/rcub_grafar_1726 .
Milojević, Marija, Nefovska-Danilović, Marija, Marjanović, Miroslav, "Free vibration analysis of multiple cracked frames using dynamic stiffness method" in Proceedings / The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, June 24-26, 2019, 2019 (2019):s5a,
https://hdl.handle.net/21.15107/rcub_grafar_1726 .

Izogeometrijski pristup u analizi slobodnih vibracija prostornih Bernuli – Ojlerovih grednih nosača

Jočković, Miloš; Radenković, Gligor; Nefovska-Danilović, Marija

(2019)

TY  - CHAP
AU  - Jočković, Miloš
AU  - Radenković, Gligor
AU  - Nefovska-Danilović, Marija
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2074
AB  - У овом раду приказана је анализа слободних вибрација просторних гредних Бернули – Ојлерових носача произвољног облика применом изогеометријског приступа. Изогеометријским приступом геометрија носача се описује на исти начин као и поље померања, тј. дискретизација геометрије и поља померања се врши истим базним фунцијама, NURBS (Non – Uniform Rational B – Spline). Применом основних принципа диференцијалне геометрије и механике континуума изведене су матрица крутости и матрица маса гредног носача. Резултати сопствених фреквенција као и облика осциловања добијених применом изогеометријског приступа су упоређени са резултатима добијеним применом софтвера Abaqus. Добијени резултати применом изогеометријског приступа су показали задовољавајућу тачност и брзу конвергенцију.
T1  - Izogeometrijski pristup u analizi slobodnih vibracija prostornih Bernuli – Ojlerovih grednih nosača
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2074
ER  - 
@inbook{
author = "Jočković, Miloš and Radenković, Gligor and Nefovska-Danilović, Marija",
year = "2019",
abstract = "У овом раду приказана је анализа слободних вибрација просторних гредних Бернули – Ојлерових носача произвољног облика применом изогеометријског приступа. Изогеометријским приступом геометрија носача се описује на исти начин као и поље померања, тј. дискретизација геометрије и поља померања се врши истим базним фунцијама, NURBS (Non – Uniform Rational B – Spline). Применом основних принципа диференцијалне геометрије и механике континуума изведене су матрица крутости и матрица маса гредног носача. Резултати сопствених фреквенција као и облика осциловања добијених применом изогеометријског приступа су упоређени са резултатима добијеним применом софтвера Abaqus. Добијени резултати применом изогеометријског приступа су показали задовољавајућу тачност и брзу конвергенцију.",
booktitle = "Izogeometrijski pristup u analizi slobodnih vibracija prostornih Bernuli – Ojlerovih grednih nosača",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2074"
}
Jočković, M., Radenković, G.,& Nefovska-Danilović, M.. (2019). Izogeometrijski pristup u analizi slobodnih vibracija prostornih Bernuli – Ojlerovih grednih nosača. .
https://hdl.handle.net/21.15107/rcub_grafar_2074
Jočković M, Radenković G, Nefovska-Danilović M. Izogeometrijski pristup u analizi slobodnih vibracija prostornih Bernuli – Ojlerovih grednih nosača. 2019;.
https://hdl.handle.net/21.15107/rcub_grafar_2074 .
Jočković, Miloš, Radenković, Gligor, Nefovska-Danilović, Marija, "Izogeometrijski pristup u analizi slobodnih vibracija prostornih Bernuli – Ojlerovih grednih nosača" (2019),
https://hdl.handle.net/21.15107/rcub_grafar_2074 .

Framework for Dynamic-Stiffness-Based Free Vibration Analysis of Plate-Like Structures

Marjanović, Miroslav; Nefovska-Danilović, Marija; Damnjanović, Emilija

(Hindawi Limited, 2019)

TY  - JOUR
AU  - Marjanović, Miroslav
AU  - Nefovska-Danilović, Marija
AU  - Damnjanović, Emilija
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1009
AB  - A framework for free vibration analysis of plate-like structures is presented in the paper. Based on the previously formulated dynamic stiffness elements, FREEVIB object-oriented software in Python environment has been created. Software design and structure as well as a wide range of possible structural problems that could be analyzed using the FREEVIB are presented. Through several illustrative examples including free vibration analysis of stepped, stiffened and folded plate structures, implying isotropic or orthotropic material formulations, the efficiency and accuracy of the FREEVIB is demonstrated. The possibilities of further extensions and improvements of the software are discussed.
PB  - Hindawi Limited
T2  - Shock and Vibration
T1  - Framework for Dynamic-Stiffness-Based Free Vibration Analysis of Plate-Like Structures
DO  - 10.1155/2019/1369235
ER  - 
@article{
author = "Marjanović, Miroslav and Nefovska-Danilović, Marija and Damnjanović, Emilija",
year = "2019",
abstract = "A framework for free vibration analysis of plate-like structures is presented in the paper. Based on the previously formulated dynamic stiffness elements, FREEVIB object-oriented software in Python environment has been created. Software design and structure as well as a wide range of possible structural problems that could be analyzed using the FREEVIB are presented. Through several illustrative examples including free vibration analysis of stepped, stiffened and folded plate structures, implying isotropic or orthotropic material formulations, the efficiency and accuracy of the FREEVIB is demonstrated. The possibilities of further extensions and improvements of the software are discussed.",
publisher = "Hindawi Limited",
journal = "Shock and Vibration",
title = "Framework for Dynamic-Stiffness-Based Free Vibration Analysis of Plate-Like Structures",
doi = "10.1155/2019/1369235"
}
Marjanović, M., Nefovska-Danilović, M.,& Damnjanović, E.. (2019). Framework for Dynamic-Stiffness-Based Free Vibration Analysis of Plate-Like Structures. in Shock and Vibration
Hindawi Limited..
https://doi.org/10.1155/2019/1369235
Marjanović M, Nefovska-Danilović M, Damnjanović E. Framework for Dynamic-Stiffness-Based Free Vibration Analysis of Plate-Like Structures. in Shock and Vibration. 2019;.
doi:10.1155/2019/1369235 .
Marjanović, Miroslav, Nefovska-Danilović, Marija, Damnjanović, Emilija, "Framework for Dynamic-Stiffness-Based Free Vibration Analysis of Plate-Like Structures" in Shock and Vibration (2019),
https://doi.org/10.1155/2019/1369235 . .
7
3
8

Free vibration analysis of spatial Bernoulli–Euler and Rayleigh curved beams using isogeometric approach

Jočković, Miloš; Radenković, Gligor; Nefovska-Danilović, Marija; Baitsch, M.

(Elsevier Inc., 2019)

TY  - JOUR
AU  - Jočković, Miloš
AU  - Radenković, Gligor
AU  - Nefovska-Danilović, Marija
AU  - Baitsch, M.
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/986
AB  - This paper deals with the linear free vibration analysis of Bernoulli–Euler and Rayleigh curved beams using isogeometric approach. The geometry of the beam as well as the displacement field are defined using the NURBS basis functions which present the basic concept of the isogeometric analysis. A novel approach based on the fundamental relations of the differential geometry and Cauchy continuum beam model is presented and applied to derive the stiffness and consistent mass matrices of the corresponding spatial curved beam element. In the Bernoulli–Euler beam element only translational and torsional inertia are taken into account, while the Rayleigh beam element takes all inertial terms into consideration. Due to their formulation, isogeometric beam elements can be used for the dynamic analysis of spatial curved beams. Several illustrative examples have been chosen in order to check the convergence and accuracy of the proposed method. The results have been compared with the available data from the literature as well as with the finite element solutions.
PB  - Elsevier Inc.
T2  - Applied Mathematical Modelling
T1  - Free vibration analysis of spatial Bernoulli–Euler and Rayleigh curved beams using isogeometric approach
EP  - 172
SP  - 152
VL  - 71
DO  - 10.1016/j.apm.2019.02.002
ER  - 
@article{
author = "Jočković, Miloš and Radenković, Gligor and Nefovska-Danilović, Marija and Baitsch, M.",
year = "2019",
abstract = "This paper deals with the linear free vibration analysis of Bernoulli–Euler and Rayleigh curved beams using isogeometric approach. The geometry of the beam as well as the displacement field are defined using the NURBS basis functions which present the basic concept of the isogeometric analysis. A novel approach based on the fundamental relations of the differential geometry and Cauchy continuum beam model is presented and applied to derive the stiffness and consistent mass matrices of the corresponding spatial curved beam element. In the Bernoulli–Euler beam element only translational and torsional inertia are taken into account, while the Rayleigh beam element takes all inertial terms into consideration. Due to their formulation, isogeometric beam elements can be used for the dynamic analysis of spatial curved beams. Several illustrative examples have been chosen in order to check the convergence and accuracy of the proposed method. The results have been compared with the available data from the literature as well as with the finite element solutions.",
publisher = "Elsevier Inc.",
journal = "Applied Mathematical Modelling",
title = "Free vibration analysis of spatial Bernoulli–Euler and Rayleigh curved beams using isogeometric approach",
pages = "172-152",
volume = "71",
doi = "10.1016/j.apm.2019.02.002"
}
Jočković, M., Radenković, G., Nefovska-Danilović, M.,& Baitsch, M.. (2019). Free vibration analysis of spatial Bernoulli–Euler and Rayleigh curved beams using isogeometric approach. in Applied Mathematical Modelling
Elsevier Inc.., 71, 152-172.
https://doi.org/10.1016/j.apm.2019.02.002
Jočković M, Radenković G, Nefovska-Danilović M, Baitsch M. Free vibration analysis of spatial Bernoulli–Euler and Rayleigh curved beams using isogeometric approach. in Applied Mathematical Modelling. 2019;71:152-172.
doi:10.1016/j.apm.2019.02.002 .
Jočković, Miloš, Radenković, Gligor, Nefovska-Danilović, Marija, Baitsch, M., "Free vibration analysis of spatial Bernoulli–Euler and Rayleigh curved beams using isogeometric approach" in Applied Mathematical Modelling, 71 (2019):152-172,
https://doi.org/10.1016/j.apm.2019.02.002 . .
26
12
27

Bending analysis of cross-laminated-timber (CLT) panels using layered finite elements

Marjanović, Miroslav; Damnjanović, Emilija

(Univerzitet u Beogradu, Građevinski fakultet, 2019)

TY  - CHAP
AU  - Marjanović, Miroslav
AU  - Damnjanović, Emilija
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1841
AB  - Cross-laminated timber panels are composite wood products with an increasing application in civil engineering. The low environmental impact and high mechanical performance encourage the use of CLT in modern buildings instead of traditional mineral-based building materials. The complex CLT-specific material characteristics, characterized by the high shear deformations across the plate thickness, complicate an accurate kinematic description of CLT. The traditional computational models used in standards for design of timber structures are generally based on beam theories, limiting the design approaches to slender panels. Therefore, the application of complex numerical models is required for a more intensive use of CLT.
In the paper, the full layerwise theory of Reddy served as a basis for the formulation of layered quadrilateral finite elements for the analysis of CLT panels. Original procedure for post-processing of stresses is presented. The model is validated against the numerical and experimental data in the literature. Excellent agreement is achieved.
AB  - Панели од унакрсно ламелираног дрвета (CLT) су композитни производи чија примена у грађеви-нарству је све већа. Мали утицај на животну средину и добре механичке карактеристике доводе до примене CLT панела у модерним зградама, уместо традиционалних (минералних) грађевинских материјала. Сложене материјалне карактеристике специфичне за CLT, које одликују високе смичу-ће деформације по дебљини панела, компликују прецизно описивање кинематике CLT панела. Tрадиционални прорачунски модели, примењени у стандардима за прорачун дрвених конструкција, генерално се заснивају на теоријама греде и ограничени су на танке панеле. Са тим у складу, примена сложених нумеричких модела неопходна је за повећану примену CLT панела.
У овом раду, Reddy-ева слојевита теорија плоча била је основ за формулисање слојевитих четвороугаоних коначних елемената за анализу CLT панела. Дата је оригинална процедура за прорачун напона. Прецизност модела је потврђена поређењем са нумеричким и експерименталним подацима из литературе, и добијено је одлично поклапање резултата.
PB  - Univerzitet u Beogradu, Građevinski fakultet
PB  - Univerzitet Crne Gore, Građevinski fakultet Podgorica
PB  - Akademija inženjerskih nauka Srbije
T2  - Theory of Civil Engineering Structures - Monograph dedicated to the memory of Professor Miodrag Sekulović
T1  - Bending analysis of cross-laminated-timber (CLT) panels using layered finite elements
EP  - 100
SP  - 91
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1841
ER  - 
@inbook{
author = "Marjanović, Miroslav and Damnjanović, Emilija",
year = "2019",
abstract = "Cross-laminated timber panels are composite wood products with an increasing application in civil engineering. The low environmental impact and high mechanical performance encourage the use of CLT in modern buildings instead of traditional mineral-based building materials. The complex CLT-specific material characteristics, characterized by the high shear deformations across the plate thickness, complicate an accurate kinematic description of CLT. The traditional computational models used in standards for design of timber structures are generally based on beam theories, limiting the design approaches to slender panels. Therefore, the application of complex numerical models is required for a more intensive use of CLT.
In the paper, the full layerwise theory of Reddy served as a basis for the formulation of layered quadrilateral finite elements for the analysis of CLT panels. Original procedure for post-processing of stresses is presented. The model is validated against the numerical and experimental data in the literature. Excellent agreement is achieved., Панели од унакрсно ламелираног дрвета (CLT) су композитни производи чија примена у грађеви-нарству је све већа. Мали утицај на животну средину и добре механичке карактеристике доводе до примене CLT панела у модерним зградама, уместо традиционалних (минералних) грађевинских материјала. Сложене материјалне карактеристике специфичне за CLT, које одликују високе смичу-ће деформације по дебљини панела, компликују прецизно описивање кинематике CLT панела. Tрадиционални прорачунски модели, примењени у стандардима за прорачун дрвених конструкција, генерално се заснивају на теоријама греде и ограничени су на танке панеле. Са тим у складу, примена сложених нумеричких модела неопходна је за повећану примену CLT панела.
У овом раду, Reddy-ева слојевита теорија плоча била је основ за формулисање слојевитих четвороугаоних коначних елемената за анализу CLT панела. Дата је оригинална процедура за прорачун напона. Прецизност модела је потврђена поређењем са нумеричким и експерименталним подацима из литературе, и добијено је одлично поклапање резултата.",
publisher = "Univerzitet u Beogradu, Građevinski fakultet, Univerzitet Crne Gore, Građevinski fakultet Podgorica, Akademija inženjerskih nauka Srbije",
journal = "Theory of Civil Engineering Structures - Monograph dedicated to the memory of Professor Miodrag Sekulović",
booktitle = "Bending analysis of cross-laminated-timber (CLT) panels using layered finite elements",
pages = "100-91",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1841"
}
Marjanović, M.,& Damnjanović, E.. (2019). Bending analysis of cross-laminated-timber (CLT) panels using layered finite elements. in Theory of Civil Engineering Structures - Monograph dedicated to the memory of Professor Miodrag Sekulović
Univerzitet u Beogradu, Građevinski fakultet., 91-100.
https://hdl.handle.net/21.15107/rcub_grafar_1841
Marjanović M, Damnjanović E. Bending analysis of cross-laminated-timber (CLT) panels using layered finite elements. in Theory of Civil Engineering Structures - Monograph dedicated to the memory of Professor Miodrag Sekulović. 2019;:91-100.
https://hdl.handle.net/21.15107/rcub_grafar_1841 .
Marjanović, Miroslav, Damnjanović, Emilija, "Bending analysis of cross-laminated-timber (CLT) panels using layered finite elements" in Theory of Civil Engineering Structures - Monograph dedicated to the memory of Professor Miodrag Sekulović (2019):91-100,
https://hdl.handle.net/21.15107/rcub_grafar_1841 .

Design of 120m guyed steel mast in Alibunar according to Eurocode

Marjanović, Miroslav; Petronijević, Mira

(MASE - Macedonian Association of Structural Engineers, 2019)

TY  - CONF
AU  - Marjanović, Miroslav
AU  - Petronijević, Mira
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1755
AB  - Guyed masts are slender tall structures widely used to support different kinds of antennas in telecommunications. They consist of a vertical tall mast laterally supported at several levels along its height by sets of inclined pre-tensioned guys. The analysis and design of guyed masts is complex and requires special knowledge and experience because of: (1) non-linear behavior of guys, (2) the wind and ice loads, which accurate estimation is often difficult, and (3) the dynamic fluctuations of the wind load, to which the guyed mast is extremely sensitive. A dynamic stochastic analysis of guyed masts is complex and time consuming, so methods based on equivalent static analysis are usually used.
One relatively reliable simplified procedure, based on static patch wind loads, has been developed and adopted in Eurocode 3: Part 3-1: Towers, masts and chimneys. This procedure was applied to calculate member forces in 125m high anemometer guyed mast in the Alibunar municipality. The considered mast is spatial lattice structure with triangular cross sections and diagonal infill, composed of circular elements. The triangular cross sections and the pipe circular elements of mast structure were chosen in preliminary design to reduce the exposure of the structure to the wind load. The spatial stability of the mast is provided by 48 guys, attached to the mast at 11 different levels and anchored in 12 RC anchor blocks radially arranged around the central mast. Geometrically nonlinear analysis was performed using SAP2000 and obtained results are presented.
The ULS and stability check of 125m high anemometer guyed mast was performed using the procedure based on static patch wind loads adopted in Eurocode 3: Part 3-1. Geometrically nonlinear analysis was carried out using SAP2000. Loadings were calculated for the fundamental wind velocity vb,0 = 32 m/s, terrain type II, the ice thickness of 10mm and ice density ice = 900kg/m3. 
The maximum forces in the mast legs were obtained for loading case 2: G + P + 1.2W.  The variation of internal forces occurs at the heights where the cables are connected. In these zones, the forces in the leg elements vary slightly, indicating the correct choice of cable positions. The most stressed elements satisfied ultimate limit state (ULS) and stability checks.
PB  - MASE - Macedonian Association of Structural Engineers
C3  - 18th International Symposium of MASE
T1  - Design of 120m guyed steel mast in Alibunar according to Eurocode
EP  - 1099
SP  - 1090
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1755
ER  - 
@conference{
author = "Marjanović, Miroslav and Petronijević, Mira",
year = "2019",
abstract = "Guyed masts are slender tall structures widely used to support different kinds of antennas in telecommunications. They consist of a vertical tall mast laterally supported at several levels along its height by sets of inclined pre-tensioned guys. The analysis and design of guyed masts is complex and requires special knowledge and experience because of: (1) non-linear behavior of guys, (2) the wind and ice loads, which accurate estimation is often difficult, and (3) the dynamic fluctuations of the wind load, to which the guyed mast is extremely sensitive. A dynamic stochastic analysis of guyed masts is complex and time consuming, so methods based on equivalent static analysis are usually used.
One relatively reliable simplified procedure, based on static patch wind loads, has been developed and adopted in Eurocode 3: Part 3-1: Towers, masts and chimneys. This procedure was applied to calculate member forces in 125m high anemometer guyed mast in the Alibunar municipality. The considered mast is spatial lattice structure with triangular cross sections and diagonal infill, composed of circular elements. The triangular cross sections and the pipe circular elements of mast structure were chosen in preliminary design to reduce the exposure of the structure to the wind load. The spatial stability of the mast is provided by 48 guys, attached to the mast at 11 different levels and anchored in 12 RC anchor blocks radially arranged around the central mast. Geometrically nonlinear analysis was performed using SAP2000 and obtained results are presented.
The ULS and stability check of 125m high anemometer guyed mast was performed using the procedure based on static patch wind loads adopted in Eurocode 3: Part 3-1. Geometrically nonlinear analysis was carried out using SAP2000. Loadings were calculated for the fundamental wind velocity vb,0 = 32 m/s, terrain type II, the ice thickness of 10mm and ice density ice = 900kg/m3. 
The maximum forces in the mast legs were obtained for loading case 2: G + P + 1.2W.  The variation of internal forces occurs at the heights where the cables are connected. In these zones, the forces in the leg elements vary slightly, indicating the correct choice of cable positions. The most stressed elements satisfied ultimate limit state (ULS) and stability checks.",
publisher = "MASE - Macedonian Association of Structural Engineers",
journal = "18th International Symposium of MASE",
title = "Design of 120m guyed steel mast in Alibunar according to Eurocode",
pages = "1099-1090",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1755"
}
Marjanović, M.,& Petronijević, M.. (2019). Design of 120m guyed steel mast in Alibunar according to Eurocode. in 18th International Symposium of MASE
MASE - Macedonian Association of Structural Engineers., 1090-1099.
https://hdl.handle.net/21.15107/rcub_grafar_1755
Marjanović M, Petronijević M. Design of 120m guyed steel mast in Alibunar according to Eurocode. in 18th International Symposium of MASE. 2019;:1090-1099.
https://hdl.handle.net/21.15107/rcub_grafar_1755 .
Marjanović, Miroslav, Petronijević, Mira, "Design of 120m guyed steel mast in Alibunar according to Eurocode" in 18th International Symposium of MASE (2019):1090-1099,
https://hdl.handle.net/21.15107/rcub_grafar_1755 .

Efficient discretization of circular cross-section in fiber beam/column element

Kostić, Svetlana; Filippou, Filip C.

(2019)

TY  - CONF
AU  - Kostić, Svetlana
AU  - Filippou, Filip C.
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3033
C3  - The 16th International Conference on Civil, Structural & Environmental Engineering Computing, Riva del Garda, Italy
T1  - Efficient discretization of circular cross-section in fiber beam/column element
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3033
ER  - 
@conference{
author = "Kostić, Svetlana and Filippou, Filip C.",
year = "2019",
journal = "The 16th International Conference on Civil, Structural & Environmental Engineering Computing, Riva del Garda, Italy",
title = "Efficient discretization of circular cross-section in fiber beam/column element",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3033"
}
Kostić, S.,& Filippou, F. C.. (2019). Efficient discretization of circular cross-section in fiber beam/column element. in The 16th International Conference on Civil, Structural & Environmental Engineering Computing, Riva del Garda, Italy.
https://hdl.handle.net/21.15107/rcub_grafar_3033
Kostić S, Filippou FC. Efficient discretization of circular cross-section in fiber beam/column element. in The 16th International Conference on Civil, Structural & Environmental Engineering Computing, Riva del Garda, Italy. 2019;.
https://hdl.handle.net/21.15107/rcub_grafar_3033 .
Kostić, Svetlana, Filippou, Filip C., "Efficient discretization of circular cross-section in fiber beam/column element" in The 16th International Conference on Civil, Structural & Environmental Engineering Computing, Riva del Garda, Italy (2019),
https://hdl.handle.net/21.15107/rcub_grafar_3033 .

Tačna i približne metode proračuna spregnutih greda od čelika i betona

Kostić, Svetlana M.; Deretić-Stojanović, Biljana

(Univerzitet u Beogradu–Građevinski fakultet, 2019)

TY  - CHAP
AU  - Kostić, Svetlana M.
AU  - Deretić-Stojanović, Biljana
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2127
AB  - The paper presents four different methods for viscoelastic analysis of steel-concrete composite structures: “exact” analysis method, simplified method, effective modulus method and method proposed by the European design code, Eurocode 4. The exact analysis method uses the mathematical theory of linear integral operators for presenting viscoelastic relations of the steel-concrete composite structures. The simplified analysis method is derived from the exact method. It adopts the assumption that generalized displacements change linearly with the concrete creep function. Due to this assumption, the problem equations transforms from nonhomogeneous integral equations to nonhomogeneous algebraic equations. The effective modulus method and the method proposed by the Eurocode 4 are algebraic methods where stress-strain relations for concrete are expressed through the effective modulus, which depend on time. On the numerical example of continuous steel-concrete beam, the results obtained using the mentioned approximate and the exact method are compared
PB  - Univerzitet u Beogradu–Građevinski fakultet
PB  - Univerzitet Crne Gore–Građevinski fakultet
PB  - Akademija inženjerskih nauka Srbije
T2  - Teorija građevinskih konstrukcija
T1  - Tačna i približne metode proračuna spregnutih greda od čelika i betona
T1  - EXACT AND APPROXIMATE METHODS OF ANALYSIS OF STEEL-CONCRETE COMPOSITE BEAMS
EP  - 120
SP  - 113
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2127
ER  - 
@inbook{
author = "Kostić, Svetlana M. and Deretić-Stojanović, Biljana",
year = "2019",
abstract = "The paper presents four different methods for viscoelastic analysis of steel-concrete composite structures: “exact” analysis method, simplified method, effective modulus method and method proposed by the European design code, Eurocode 4. The exact analysis method uses the mathematical theory of linear integral operators for presenting viscoelastic relations of the steel-concrete composite structures. The simplified analysis method is derived from the exact method. It adopts the assumption that generalized displacements change linearly with the concrete creep function. Due to this assumption, the problem equations transforms from nonhomogeneous integral equations to nonhomogeneous algebraic equations. The effective modulus method and the method proposed by the Eurocode 4 are algebraic methods where stress-strain relations for concrete are expressed through the effective modulus, which depend on time. On the numerical example of continuous steel-concrete beam, the results obtained using the mentioned approximate and the exact method are compared",
publisher = "Univerzitet u Beogradu–Građevinski fakultet, Univerzitet Crne Gore–Građevinski fakultet, Akademija inženjerskih nauka Srbije",
journal = "Teorija građevinskih konstrukcija",
booktitle = "Tačna i približne metode proračuna spregnutih greda od čelika i betona, EXACT AND APPROXIMATE METHODS OF ANALYSIS OF STEEL-CONCRETE COMPOSITE BEAMS",
pages = "120-113",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2127"
}
Kostić, S. M.,& Deretić-Stojanović, B.. (2019). Tačna i približne metode proračuna spregnutih greda od čelika i betona. in Teorija građevinskih konstrukcija
Univerzitet u Beogradu–Građevinski fakultet., 113-120.
https://hdl.handle.net/21.15107/rcub_grafar_2127
Kostić SM, Deretić-Stojanović B. Tačna i približne metode proračuna spregnutih greda od čelika i betona. in Teorija građevinskih konstrukcija. 2019;:113-120.
https://hdl.handle.net/21.15107/rcub_grafar_2127 .
Kostić, Svetlana M., Deretić-Stojanović, Biljana, "Tačna i približne metode proračuna spregnutih greda od čelika i betona" in Teorija građevinskih konstrukcija (2019):113-120,
https://hdl.handle.net/21.15107/rcub_grafar_2127 .

Vertical Vibrations of Rectangular Flexible Foundation on Viscoelastic Halfspace

Radišić, Marko; Petronijević, Mira; Müller, Gerhard

(2019)

TY  - JOUR
AU  - Radišić, Marko
AU  - Petronijević, Mira
AU  - Müller, Gerhard
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2113
AB  - This paper presents a novel method, ITM- DSM, for the soil-foundation interaction problems analysis. It is a semi-numerical method based on the coupling of the Integral Transform Method (ITM) and the Dynamic Stiffness Method (DSM). The stiffness matrix of the soil-foundation system is obtained using the substructure technique. The ITM is used to obtain the solution of the wave propagation in the soil, while the DSM is used to calculate the dynamic stiffness matrix of the foundation. Both methods are operating in the frequency domain what makes them suitable for coupling. The number of numerical operations in the frequency domain is reduced by the application of the modal superposition technique. The analysis of vertical vibrations of flexible foundations resting on the viscoelastic half-space is presented. The formulation of the method could be generalized for horizontal and rocking vibrations. It could be also reduced to the problem of flexible strip foundations of infinite length.
T2  - Scientific Journal of Civil Engineering (SJCE)
T1  - Vertical Vibrations of Rectangular Flexible Foundation on Viscoelastic Halfspace
IS  - 2
VL  - 8
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2113
ER  - 
@article{
author = "Radišić, Marko and Petronijević, Mira and Müller, Gerhard",
year = "2019",
abstract = "This paper presents a novel method, ITM- DSM, for the soil-foundation interaction problems analysis. It is a semi-numerical method based on the coupling of the Integral Transform Method (ITM) and the Dynamic Stiffness Method (DSM). The stiffness matrix of the soil-foundation system is obtained using the substructure technique. The ITM is used to obtain the solution of the wave propagation in the soil, while the DSM is used to calculate the dynamic stiffness matrix of the foundation. Both methods are operating in the frequency domain what makes them suitable for coupling. The number of numerical operations in the frequency domain is reduced by the application of the modal superposition technique. The analysis of vertical vibrations of flexible foundations resting on the viscoelastic half-space is presented. The formulation of the method could be generalized for horizontal and rocking vibrations. It could be also reduced to the problem of flexible strip foundations of infinite length.",
journal = "Scientific Journal of Civil Engineering (SJCE)",
title = "Vertical Vibrations of Rectangular Flexible Foundation on Viscoelastic Halfspace",
number = "2",
volume = "8",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2113"
}
Radišić, M., Petronijević, M.,& Müller, G.. (2019). Vertical Vibrations of Rectangular Flexible Foundation on Viscoelastic Halfspace. in Scientific Journal of Civil Engineering (SJCE), 8(2).
https://hdl.handle.net/21.15107/rcub_grafar_2113
Radišić M, Petronijević M, Müller G. Vertical Vibrations of Rectangular Flexible Foundation on Viscoelastic Halfspace. in Scientific Journal of Civil Engineering (SJCE). 2019;8(2).
https://hdl.handle.net/21.15107/rcub_grafar_2113 .
Radišić, Marko, Petronijević, Mira, Müller, Gerhard, "Vertical Vibrations of Rectangular Flexible Foundation on Viscoelastic Halfspace" in Scientific Journal of Civil Engineering (SJCE), 8, no. 2 (2019),
https://hdl.handle.net/21.15107/rcub_grafar_2113 .

Dinamička fleksibilnost trakastog temelja na poluprostoru

Radišić, Marko; Petronijević, Mira

(Akademija inženjerskih nauka Srbije, 2019)

TY  - CHAP
AU  - Radišić, Marko
AU  - Petronijević, Mira
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2135
AB  - Тема овог рада је анализа вертикалних вибрација флексибилног тракастог темеља фундираног на површини еластичног, хомогеног полупростора. Претпоставка је да се темељ у попречном пресеку понаша као Ојлер-Бернулијева греда и да између темеља и тла не постоје клизања, нити дисконтинуитет у пољу померања. Проблем је решен у фреквентном домену применом методе подструктура. Темељ је анализиран применом Методе динамичке крутости, док је у анализи тла примењена Метода интегралне трансформације. Ефекат интеракције између темеља и тла решен је примeном модалне матрице крутости тла. Применом наведеног поступка, одређена је динамичка крутост у тежишту темеља. Приказани су резултати параметарске анализе у којој је варирана флексибилност темеља и функција оптерећења темеља. Показано је да конвергенција резултата зависи од типа проблема који се анализира.
AB  - This paper deals with vertical vibrations of а flexible strip foundation resting on the surface of an elastic, homogeneous halfspace. The assumption is that the foundation acts as an Euler-Bernoulli beam, cross- section wise, and there is no sliding, nor discontinuities in terms of displacements between the foundation and the soil. Problem is solved in the frequency domain using the substructure method. The foundation is analyzed using the Dynamic Stiffness Method, while the soil is analysed using the Integral Transform Method. The interaction effect between the foundation and the soil is solved by applying a modal soil stiffness matrix. Using the procedure described above, the dynamic stiffness, relative to the centre of flexible foundation, is calculated. The parametric analysis that considers the variation of the stiffness of the foundation and the loading function is presented. It is shown that the convergence of the results depends on the type of the problem that is analyzed.
PB  - Akademija inženjerskih nauka Srbije
PB  - Građevinski fakultet Univerziteta u Crnoj Gori
PB  - Građevinski fakultet Univerziteta u Beogradu
T2  - Teorija građevinskih konstrukcija - Monografija posvećena uspomeni na profesora Miodraga Sekulovića
T1  - Dinamička fleksibilnost trakastog temelja na poluprostoru
T1  - Dynamic Flexibility of Strip Foundation on Halfspace
EP  - 64
SP  - 55
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2135
ER  - 
@inbook{
author = "Radišić, Marko and Petronijević, Mira",
year = "2019",
abstract = "Тема овог рада је анализа вертикалних вибрација флексибилног тракастог темеља фундираног на површини еластичног, хомогеног полупростора. Претпоставка је да се темељ у попречном пресеку понаша као Ојлер-Бернулијева греда и да између темеља и тла не постоје клизања, нити дисконтинуитет у пољу померања. Проблем је решен у фреквентном домену применом методе подструктура. Темељ је анализиран применом Методе динамичке крутости, док је у анализи тла примењена Метода интегралне трансформације. Ефекат интеракције између темеља и тла решен је примeном модалне матрице крутости тла. Применом наведеног поступка, одређена је динамичка крутост у тежишту темеља. Приказани су резултати параметарске анализе у којој је варирана флексибилност темеља и функција оптерећења темеља. Показано је да конвергенција резултата зависи од типа проблема који се анализира., This paper deals with vertical vibrations of а flexible strip foundation resting on the surface of an elastic, homogeneous halfspace. The assumption is that the foundation acts as an Euler-Bernoulli beam, cross- section wise, and there is no sliding, nor discontinuities in terms of displacements between the foundation and the soil. Problem is solved in the frequency domain using the substructure method. The foundation is analyzed using the Dynamic Stiffness Method, while the soil is analysed using the Integral Transform Method. The interaction effect between the foundation and the soil is solved by applying a modal soil stiffness matrix. Using the procedure described above, the dynamic stiffness, relative to the centre of flexible foundation, is calculated. The parametric analysis that considers the variation of the stiffness of the foundation and the loading function is presented. It is shown that the convergence of the results depends on the type of the problem that is analyzed.",
publisher = "Akademija inženjerskih nauka Srbije, Građevinski fakultet Univerziteta u Crnoj Gori, Građevinski fakultet Univerziteta u Beogradu",
journal = "Teorija građevinskih konstrukcija - Monografija posvećena uspomeni na profesora Miodraga Sekulovića",
booktitle = "Dinamička fleksibilnost trakastog temelja na poluprostoru, Dynamic Flexibility of Strip Foundation on Halfspace",
pages = "64-55",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2135"
}
Radišić, M.,& Petronijević, M.. (2019). Dinamička fleksibilnost trakastog temelja na poluprostoru. in Teorija građevinskih konstrukcija - Monografija posvećena uspomeni na profesora Miodraga Sekulovića
Akademija inženjerskih nauka Srbije., 55-64.
https://hdl.handle.net/21.15107/rcub_grafar_2135
Radišić M, Petronijević M. Dinamička fleksibilnost trakastog temelja na poluprostoru. in Teorija građevinskih konstrukcija - Monografija posvećena uspomeni na profesora Miodraga Sekulovića. 2019;:55-64.
https://hdl.handle.net/21.15107/rcub_grafar_2135 .
Radišić, Marko, Petronijević, Mira, "Dinamička fleksibilnost trakastog temelja na poluprostoru" in Teorija građevinskih konstrukcija - Monografija posvećena uspomeni na profesora Miodraga Sekulovića (2019):55-64,
https://hdl.handle.net/21.15107/rcub_grafar_2135 .

Vibrations of Massless Flexible Strip on Visco-Elastic Half-Space

Radišić, Marko; Petronijević, Mira; Damnjanović, Emilija

(2019)

TY  - CONF
AU  - Radišić, Marko
AU  - Petronijević, Mira
AU  - Damnjanović, Emilija
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2114
AB  - This paper deals with the analysis of the dynamic response of the flexible strip foundation resting on the surface of the soil. Plane strain steady state analysis is considered. The cross section of the foundation behaves as an Euler-Bernoulli beam. There is no sliding between the foundation and the soil. The problem is solved using sub-structuring technique, considering two sub-structures: 
the foundation and the soil. The foundation is modeled using the Dynamic stiffness method (DSM) and the soil using the Integral transform method (ITM). Both DSM and ITM are based on Fourier transforms, operating in space-frequency or wavenumber-frequency domain. The coupling of the sub-structures is obtained using modal superposition approach. Vertical and 
horizontal response of the strip foundation is calculated for different soil/foundation stiffness ratio and for different frequencies.  Presented results show the influence of the excitation frequency and foundation stiffness on displacement field of the foundation.
C3  - 7th International Congress of Serbian Society of Mechanics
T1  - Vibrations of Massless Flexible Strip on Visco-Elastic Half-Space
SP  - 116
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2114
ER  - 
@conference{
author = "Radišić, Marko and Petronijević, Mira and Damnjanović, Emilija",
year = "2019",
abstract = "This paper deals with the analysis of the dynamic response of the flexible strip foundation resting on the surface of the soil. Plane strain steady state analysis is considered. The cross section of the foundation behaves as an Euler-Bernoulli beam. There is no sliding between the foundation and the soil. The problem is solved using sub-structuring technique, considering two sub-structures: 
the foundation and the soil. The foundation is modeled using the Dynamic stiffness method (DSM) and the soil using the Integral transform method (ITM). Both DSM and ITM are based on Fourier transforms, operating in space-frequency or wavenumber-frequency domain. The coupling of the sub-structures is obtained using modal superposition approach. Vertical and 
horizontal response of the strip foundation is calculated for different soil/foundation stiffness ratio and for different frequencies.  Presented results show the influence of the excitation frequency and foundation stiffness on displacement field of the foundation.",
journal = "7th International Congress of Serbian Society of Mechanics",
title = "Vibrations of Massless Flexible Strip on Visco-Elastic Half-Space",
pages = "116",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2114"
}
Radišić, M., Petronijević, M.,& Damnjanović, E.. (2019). Vibrations of Massless Flexible Strip on Visco-Elastic Half-Space. in 7th International Congress of Serbian Society of Mechanics, 116.
https://hdl.handle.net/21.15107/rcub_grafar_2114
Radišić M, Petronijević M, Damnjanović E. Vibrations of Massless Flexible Strip on Visco-Elastic Half-Space. in 7th International Congress of Serbian Society of Mechanics. 2019;:116.
https://hdl.handle.net/21.15107/rcub_grafar_2114 .
Radišić, Marko, Petronijević, Mira, Damnjanović, Emilija, "Vibrations of Massless Flexible Strip on Visco-Elastic Half-Space" in 7th International Congress of Serbian Society of Mechanics (2019):116,
https://hdl.handle.net/21.15107/rcub_grafar_2114 .

Primena metode dinamičke krutosti u analizi slobodnih vibracija otvorenih kružnih cilindričnih ljuski

Nefovska-Danilović, Marija

(Univerzitet u Beogradu-Građevinski fakultet, Univerzitet Crne Gore-Građevinski fakultet, Akademija inženjerskih nauka Srbije, 2019)

TY  - CHAP
AU  - Nefovska-Danilović, Marija
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2851
AB  - In this paper, the dynamic stiffness method has been applied in the free vibration analysis of open circular cylindrical shells having special boundary conditions. Dynamic stiffness matrix, based on the exact solutions of the free vibration problem according to the Flügge thin shell theory, is formulated and im-plemented in Matlab code to compute natural frequencies and mode shapes. The results of numerical examples for an open cylindrical shell with stepwise thickness variation, as well as for barrel roof, are pre-sented and compared to the results obtained by using the commercial finite element program Abaqus.
PB  - Univerzitet u Beogradu-Građevinski fakultet, Univerzitet Crne Gore-Građevinski fakultet, Akademija inženjerskih nauka Srbije
T2  - Teorija građevinskih konstrukcija, Monografija posvećena uspomeni na profesora Miodraga Sekulovića
T1  - Primena metode dinamičke krutosti u analizi slobodnih vibracija otvorenih kružnih cilindričnih ljuski
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2851
ER  - 
@inbook{
author = "Nefovska-Danilović, Marija",
year = "2019",
abstract = "In this paper, the dynamic stiffness method has been applied in the free vibration analysis of open circular cylindrical shells having special boundary conditions. Dynamic stiffness matrix, based on the exact solutions of the free vibration problem according to the Flügge thin shell theory, is formulated and im-plemented in Matlab code to compute natural frequencies and mode shapes. The results of numerical examples for an open cylindrical shell with stepwise thickness variation, as well as for barrel roof, are pre-sented and compared to the results obtained by using the commercial finite element program Abaqus.",
publisher = "Univerzitet u Beogradu-Građevinski fakultet, Univerzitet Crne Gore-Građevinski fakultet, Akademija inženjerskih nauka Srbije",
journal = "Teorija građevinskih konstrukcija, Monografija posvećena uspomeni na profesora Miodraga Sekulovića",
booktitle = "Primena metode dinamičke krutosti u analizi slobodnih vibracija otvorenih kružnih cilindričnih ljuski",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2851"
}
Nefovska-Danilović, M.. (2019). Primena metode dinamičke krutosti u analizi slobodnih vibracija otvorenih kružnih cilindričnih ljuski. in Teorija građevinskih konstrukcija, Monografija posvećena uspomeni na profesora Miodraga Sekulovića
Univerzitet u Beogradu-Građevinski fakultet, Univerzitet Crne Gore-Građevinski fakultet, Akademija inženjerskih nauka Srbije..
https://hdl.handle.net/21.15107/rcub_grafar_2851
Nefovska-Danilović M. Primena metode dinamičke krutosti u analizi slobodnih vibracija otvorenih kružnih cilindričnih ljuski. in Teorija građevinskih konstrukcija, Monografija posvećena uspomeni na profesora Miodraga Sekulovića. 2019;.
https://hdl.handle.net/21.15107/rcub_grafar_2851 .
Nefovska-Danilović, Marija, "Primena metode dinamičke krutosti u analizi slobodnih vibracija otvorenih kružnih cilindričnih ljuski" in Teorija građevinskih konstrukcija, Monografija posvećena uspomeni na profesora Miodraga Sekulovića (2019),
https://hdl.handle.net/21.15107/rcub_grafar_2851 .