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 .

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 .

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 . .

TY  - JOUR
AU  - Borković, A.
AU  - Kovačević, Saša
AU  - Radenković, Gligor
AU  - Milovanović, S.
AU  - Majstorović, D.
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1005
AB  - A novel rotation-free isogeometric formulation of in-plane dynamic analysis of an arbitrarily curved Bernoulli-Euler beam in the convective frame of reference is presented. The driving force behind the present study has been the development of the NURBS-based element which enables an elegant framework of in-plane vibrations of arbitrarily curved Bernoulli-Euler beams, being a function only of the global Cartesian coordinates. Due to the fact that no additional simplifications are made, besides those related to the classic Bernoulli-Euler hypothesis and small strain theory, the formulation is particularly applicable for problems regarding the behavior of strongly curved beams. An excellent agreement of the results is accomplished and efficiency for academic and practical use are shown. The influence of the product of the maximum curvature and the thickness of the beam on the accuracy of the solution is specially treated and debated. The effects of the hpk-refinements are thoroughly checked and a highly nonlinear convergence behavior under the h-refinement is noticed. The well-known fact that models with the highest interelement continuities return superior accuracy per degree of freedom is substantiated by an in-depth numerical analysis of order of convergence. Furthermore, the accuracy of the developed model is analyzed utilizing normalized numerical discrete spectrums. It is remarked that the accuracy per degree of freedom degrades with the complexity of reference geometry of the beam.
PB  - Elsevier Ltd
T2  - Engineering Structures
T1  - Rotation-free isogeometric dynamic analysis of an arbitrarily curved plane Bernoulli-Euler beam
EP  - 215
SP  - 192
VL  - 181
DO  - 10.1016/j.engstruct.2018.12.003
ER  - 

@article{
author = "Borković, A. and Kovačević, Saša and Radenković, Gligor and Milovanović, S. and Majstorović, D.",
year = "2019",
abstract = "A novel rotation-free isogeometric formulation of in-plane dynamic analysis of an arbitrarily curved Bernoulli-Euler beam in the convective frame of reference is presented. The driving force behind the present study has been the development of the NURBS-based element which enables an elegant framework of in-plane vibrations of arbitrarily curved Bernoulli-Euler beams, being a function only of the global Cartesian coordinates. Due to the fact that no additional simplifications are made, besides those related to the classic Bernoulli-Euler hypothesis and small strain theory, the formulation is particularly applicable for problems regarding the behavior of strongly curved beams. An excellent agreement of the results is accomplished and efficiency for academic and practical use are shown. The influence of the product of the maximum curvature and the thickness of the beam on the accuracy of the solution is specially treated and debated. The effects of the hpk-refinements are thoroughly checked and a highly nonlinear convergence behavior under the h-refinement is noticed. The well-known fact that models with the highest interelement continuities return superior accuracy per degree of freedom is substantiated by an in-depth numerical analysis of order of convergence. Furthermore, the accuracy of the developed model is analyzed utilizing normalized numerical discrete spectrums. It is remarked that the accuracy per degree of freedom degrades with the complexity of reference geometry of the beam.",
publisher = "Elsevier Ltd",
journal = "Engineering Structures",
title = "Rotation-free isogeometric dynamic analysis of an arbitrarily curved plane Bernoulli-Euler beam",
pages = "215-192",
volume = "181",
doi = "10.1016/j.engstruct.2018.12.003"
}

Borković, A., Kovačević, S., Radenković, G., Milovanović, S.,& Majstorović, D.. (2019). Rotation-free isogeometric dynamic analysis of an arbitrarily curved plane Bernoulli-Euler beam. in Engineering Structures
Elsevier Ltd., 181, 192-215.
https://doi.org/10.1016/j.engstruct.2018.12.003

Borković A, Kovačević S, Radenković G, Milovanović S, Majstorović D. Rotation-free isogeometric dynamic analysis of an arbitrarily curved plane Bernoulli-Euler beam. in Engineering Structures. 2019;181:192-215.
doi:10.1016/j.engstruct.2018.12.003 .

Borković, A., Kovačević, Saša, Radenković, Gligor, Milovanović, S., Majstorović, D., "Rotation-free isogeometric dynamic analysis of an arbitrarily curved plane Bernoulli-Euler beam" in Engineering Structures, 181 (2019):192-215,
https://doi.org/10.1016/j.engstruct.2018.12.003 . .

TY  - JOUR
AU  - Borković, A.
AU  - Radenković, Gligor
AU  - Milovanović, S.
AU  - Majstorović, D.
PY  - 2018
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1104
T2  - Savremena teorija i praksa u graditeljstvu
T1  - Some numerical aspects of a linear static isogeometric analysis of an arbitrary curved plane Bernoulli-Euler beam
EP  - 126
IS  - 1
SP  - 110
VL  - 13
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1104
ER  - 

@article{
author = "Borković, A. and Radenković, Gligor and Milovanović, S. and Majstorović, D.",
year = "2018",
journal = "Savremena teorija i praksa u graditeljstvu",
title = "Some numerical aspects of a linear static isogeometric analysis of an arbitrary curved plane Bernoulli-Euler beam",
pages = "126-110",
number = "1",
volume = "13",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1104"
}

Borković, A., Radenković, G., Milovanović, S.,& Majstorović, D.. (2018). Some numerical aspects of a linear static isogeometric analysis of an arbitrary curved plane Bernoulli-Euler beam. in Savremena teorija i praksa u graditeljstvu, 13(1), 110-126.
https://hdl.handle.net/21.15107/rcub_grafar_1104

Borković A, Radenković G, Milovanović S, Majstorović D. Some numerical aspects of a linear static isogeometric analysis of an arbitrary curved plane Bernoulli-Euler beam. in Savremena teorija i praksa u graditeljstvu. 2018;13(1):110-126.
https://hdl.handle.net/21.15107/rcub_grafar_1104 .

Borković, A., Radenković, Gligor, Milovanović, S., Majstorović, D., "Some numerical aspects of a linear static isogeometric analysis of an arbitrary curved plane Bernoulli-Euler beam" in Savremena teorija i praksa u graditeljstvu, 13, no. 1 (2018):110-126,
https://hdl.handle.net/21.15107/rcub_grafar_1104 .

TY  - JOUR
AU  - Radenković, Gligor
AU  - Borković, A.
PY  - 2018
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/944
AB  - The present research is focused on the linear analysis of a spatial Bernoulli-Euler beam. Metrics of the reference and deformed configurations are rigorously defined with respect to the convective coordinate frame of reference. No higher order terms are neglected which makes the formulation ideally suited for analysis of arbitrarily curved spatial beams in the frame of finite (but small) strain theory. The well-known issue of nonorthogonality of local coordinate system at an arbitrary point of a spatial beam is solved by the introduction of a new coordinate line that is orthogonal to the normal plane of the beam axis at each point. Generalized coordinates of the present model are translations of the beam axis and the angle of twist of a cross section. Two different parameterizations of this angle are discussed and implemented. Both geometry and kinematics are described with the same set of NURBS functions, in line with the isogeometric approach. Numerical analysis proved that the theoretical considerations are correct and some limits of applicability are defined. An in-depth analysis of convergence properties has confirmed the fact that models with the highest interelement continuity have an improved accuracy per DOE, for problems that result in a smooth structural response.
PB  - Elsevier B.V.
T2  - Computer Methods in Applied Mechanics and Engineering
T1  - Linear static isogeometric analysis of an arbitrarily curved spatial Bernoulli-Euler beam
EP  - 396
SP  - 360
VL  - 341
DO  - 10.1016/j.cma.2018.07.010
ER  - 

@article{
author = "Radenković, Gligor and Borković, A.",
year = "2018",
abstract = "The present research is focused on the linear analysis of a spatial Bernoulli-Euler beam. Metrics of the reference and deformed configurations are rigorously defined with respect to the convective coordinate frame of reference. No higher order terms are neglected which makes the formulation ideally suited for analysis of arbitrarily curved spatial beams in the frame of finite (but small) strain theory. The well-known issue of nonorthogonality of local coordinate system at an arbitrary point of a spatial beam is solved by the introduction of a new coordinate line that is orthogonal to the normal plane of the beam axis at each point. Generalized coordinates of the present model are translations of the beam axis and the angle of twist of a cross section. Two different parameterizations of this angle are discussed and implemented. Both geometry and kinematics are described with the same set of NURBS functions, in line with the isogeometric approach. Numerical analysis proved that the theoretical considerations are correct and some limits of applicability are defined. An in-depth analysis of convergence properties has confirmed the fact that models with the highest interelement continuity have an improved accuracy per DOE, for problems that result in a smooth structural response.",
publisher = "Elsevier B.V.",
journal = "Computer Methods in Applied Mechanics and Engineering",
title = "Linear static isogeometric analysis of an arbitrarily curved spatial Bernoulli-Euler beam",
pages = "396-360",
volume = "341",
doi = "10.1016/j.cma.2018.07.010"
}

Radenković, G.,& Borković, A.. (2018). Linear static isogeometric analysis of an arbitrarily curved spatial Bernoulli-Euler beam. in Computer Methods in Applied Mechanics and Engineering
Elsevier B.V.., 341, 360-396.
https://doi.org/10.1016/j.cma.2018.07.010

Radenković G, Borković A. Linear static isogeometric analysis of an arbitrarily curved spatial Bernoulli-Euler beam. in Computer Methods in Applied Mechanics and Engineering. 2018;341:360-396.
doi:10.1016/j.cma.2018.07.010 .

Radenković, Gligor, Borković, A., "Linear static isogeometric analysis of an arbitrarily curved spatial Bernoulli-Euler beam" in Computer Methods in Applied Mechanics and Engineering, 341 (2018):360-396,
https://doi.org/10.1016/j.cma.2018.07.010 . .

TY  - JOUR
AU  - Borković, A.
AU  - Kovačević, Saša
AU  - Radenković, Gligor
AU  - Milovanović, S.
AU  - Guzijan-Dilber, M.
PY  - 2018
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/964
AB  - The present study elucidates linear static analysis for plane beam structures using the isogeometric approach. A novel methodology for rotation-free analysis of an arbitrarily curved Bernoulli-Euler beam in the convective frame of reference is derived in detail. The full degeneration of a 3D continuum beam to a 1D line has been presented and a fully applicable isogeometric finite element has been obtained. The driving force behind developing the present research has been the derivation of the NURBS-based isogeometric analysis which will enable an elegant formulation of the plane Bernoulli-Euler beams, being a function only of the global rectangular Cartesian coordinates. The verification and accuracy of the research are obtained via a thorough comparison between theory, finite element analyses and relevant examples from literature. An excellent agreement of results is achieved and usefulness for academic and practical purposes alike are proved. The effects of the hpk-refinements are illuminated and it is observed that the convergences for the most variables and refinement techniques are not monotonic. A special attention is paid to the influence of the product of maximum curvature and thickness of beam on the accuracy of the solution. The limits of applicability of the present approach are defined for a few specific types of analyses. The derived formulation is geometrically exact and appropriate for the analysis of strongly curved Bernoulli-Euler beams.
PB  - Elsevier B.V.
T2  - Computer Methods in Applied Mechanics and Engineering
T1  - Rotation-free isogeometric analysis of an arbitrarily curved plane Bernoulli-Euler beam
EP  - 267
SP  - 238
VL  - 334
DO  - 10.1016/j.cma.2018.02.002
ER  - 

@article{
author = "Borković, A. and Kovačević, Saša and Radenković, Gligor and Milovanović, S. and Guzijan-Dilber, M.",
year = "2018",
abstract = "The present study elucidates linear static analysis for plane beam structures using the isogeometric approach. A novel methodology for rotation-free analysis of an arbitrarily curved Bernoulli-Euler beam in the convective frame of reference is derived in detail. The full degeneration of a 3D continuum beam to a 1D line has been presented and a fully applicable isogeometric finite element has been obtained. The driving force behind developing the present research has been the derivation of the NURBS-based isogeometric analysis which will enable an elegant formulation of the plane Bernoulli-Euler beams, being a function only of the global rectangular Cartesian coordinates. The verification and accuracy of the research are obtained via a thorough comparison between theory, finite element analyses and relevant examples from literature. An excellent agreement of results is achieved and usefulness for academic and practical purposes alike are proved. The effects of the hpk-refinements are illuminated and it is observed that the convergences for the most variables and refinement techniques are not monotonic. A special attention is paid to the influence of the product of maximum curvature and thickness of beam on the accuracy of the solution. The limits of applicability of the present approach are defined for a few specific types of analyses. The derived formulation is geometrically exact and appropriate for the analysis of strongly curved Bernoulli-Euler beams.",
publisher = "Elsevier B.V.",
journal = "Computer Methods in Applied Mechanics and Engineering",
title = "Rotation-free isogeometric analysis of an arbitrarily curved plane Bernoulli-Euler beam",
pages = "267-238",
volume = "334",
doi = "10.1016/j.cma.2018.02.002"
}

Borković, A., Kovačević, S., Radenković, G., Milovanović, S.,& Guzijan-Dilber, M.. (2018). Rotation-free isogeometric analysis of an arbitrarily curved plane Bernoulli-Euler beam. in Computer Methods in Applied Mechanics and Engineering
Elsevier B.V.., 334, 238-267.
https://doi.org/10.1016/j.cma.2018.02.002

Borković A, Kovačević S, Radenković G, Milovanović S, Guzijan-Dilber M. Rotation-free isogeometric analysis of an arbitrarily curved plane Bernoulli-Euler beam. in Computer Methods in Applied Mechanics and Engineering. 2018;334:238-267.
doi:10.1016/j.cma.2018.02.002 .

Borković, A., Kovačević, Saša, Radenković, Gligor, Milovanović, S., Guzijan-Dilber, M., "Rotation-free isogeometric analysis of an arbitrarily curved plane Bernoulli-Euler beam" in Computer Methods in Applied Mechanics and Engineering, 334 (2018):238-267,
https://doi.org/10.1016/j.cma.2018.02.002 . .

TY  - JOUR
AU  - Borković, A.
AU  - Kovačević, Saša
AU  - Milasinović, D. D.
AU  - Radenković, Gligor
AU  - Mijatović, O.
AU  - Golubović-Bugarski, V.
PY  - 2017
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/842
AB  - The present study sheds light on geometric nonlinear static analysis of prismatic shells using the semi-analytical finite strip method. A new computational model, which includes a fully nonlinear compound strip with a longitudinal and transverse stiffener, has been presented. Furthermore, strips with non-uniform characteristics in the longitudinal direction have been used in nonlinear analysis. This has, to the best knowledge of authors, never been reported. Also, this paper describes the design and implementation of eighteen ideal boundary conditions using three different longitudinal and six well-known transverse displacement interpolation functions. The results of the presented study were obtained using an open-source software and multi-purpose software Abaqus. Moreover, the accuracy of the applied computational approach has been verified by comparison with results from the literature. An excellent agreement of displacement fields is achieved for large deflection analyses of plates with a hole and stiffeners as well as for shells with a stepped thickness in the longitudinal direction. Additionally, results from post-buckling analyses of thin-walled structures, a snap-through and snap-back behavior of shallow shells, are matched. The work presented here has profound implications for future studies of the finite strip deployment.
PB  - Elsevier Ltd
T2  - Thin-Walled Structures
T1  - Geometric nonlinear analysis of prismatic shells using the semi-analytical finite strip method
EP  - 88
SP  - 63
VL  - 117
DO  - 10.1016/j.tws.2017.03.033
ER  - 

@article{
author = "Borković, A. and Kovačević, Saša and Milasinović, D. D. and Radenković, Gligor and Mijatović, O. and Golubović-Bugarski, V.",
year = "2017",
abstract = "The present study sheds light on geometric nonlinear static analysis of prismatic shells using the semi-analytical finite strip method. A new computational model, which includes a fully nonlinear compound strip with a longitudinal and transverse stiffener, has been presented. Furthermore, strips with non-uniform characteristics in the longitudinal direction have been used in nonlinear analysis. This has, to the best knowledge of authors, never been reported. Also, this paper describes the design and implementation of eighteen ideal boundary conditions using three different longitudinal and six well-known transverse displacement interpolation functions. The results of the presented study were obtained using an open-source software and multi-purpose software Abaqus. Moreover, the accuracy of the applied computational approach has been verified by comparison with results from the literature. An excellent agreement of displacement fields is achieved for large deflection analyses of plates with a hole and stiffeners as well as for shells with a stepped thickness in the longitudinal direction. Additionally, results from post-buckling analyses of thin-walled structures, a snap-through and snap-back behavior of shallow shells, are matched. The work presented here has profound implications for future studies of the finite strip deployment.",
publisher = "Elsevier Ltd",
journal = "Thin-Walled Structures",
title = "Geometric nonlinear analysis of prismatic shells using the semi-analytical finite strip method",
pages = "88-63",
volume = "117",
doi = "10.1016/j.tws.2017.03.033"
}

Borković, A., Kovačević, S., Milasinović, D. D., Radenković, G., Mijatović, O.,& Golubović-Bugarski, V.. (2017). Geometric nonlinear analysis of prismatic shells using the semi-analytical finite strip method. in Thin-Walled Structures
Elsevier Ltd., 117, 63-88.
https://doi.org/10.1016/j.tws.2017.03.033

Borković A, Kovačević S, Milasinović DD, Radenković G, Mijatović O, Golubović-Bugarski V. Geometric nonlinear analysis of prismatic shells using the semi-analytical finite strip method. in Thin-Walled Structures. 2017;117:63-88.
doi:10.1016/j.tws.2017.03.033 .

Borković, A., Kovačević, Saša, Milasinović, D. D., Radenković, Gligor, Mijatović, O., Golubović-Bugarski, V., "Geometric nonlinear analysis of prismatic shells using the semi-analytical finite strip method" in Thin-Walled Structures, 117 (2017):63-88,
https://doi.org/10.1016/j.tws.2017.03.033 . .

TY  - CONF
AU  - Radenković, Gligor
AU  - Kovačević, Saša
PY  - 2014
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1264
AB  - The Bernoulli–Euler and Timoshenko’s theory of arbitrary curved beam is derived in the system of NURBS parametric coordinates and detailed in the book [1]. The stiffness matrix of finite elements and overall structure are programmed in the software package Mathematica. A range of isogeometric Bernoulli–Euler beam elements is formulated, starting with C1 up to arbitrarily continuity Cp-1, where p is the degree of rational NURBS function. The results obtained in a number of examples that include accuracy, convergence and convergence speed of solutions were compared with the results obtained from the software package ABAQUS.
PB  - Gradjevinski fakultet, Subotica
C3  - Međunarodna konferencija Savremena dostignuća u građevinarstvu 25
T1  - Beam theory in spline parametric cooridinate. Part II: examples
T1  - Teorija štapa u spline parametarskoj koordinati – II deo: primeri
EP  - 415
SP  - 411
VL  - 30
DO  - 10.14415/konferencijaGFS2014.056
ER  - 

@conference{
author = "Radenković, Gligor and Kovačević, Saša",
year = "2014",
abstract = "The Bernoulli–Euler and Timoshenko’s theory of arbitrary curved beam is derived in the system of NURBS parametric coordinates and detailed in the book [1]. The stiffness matrix of finite elements and overall structure are programmed in the software package Mathematica. A range of isogeometric Bernoulli–Euler beam elements is formulated, starting with C1 up to arbitrarily continuity Cp-1, where p is the degree of rational NURBS function. The results obtained in a number of examples that include accuracy, convergence and convergence speed of solutions were compared with the results obtained from the software package ABAQUS.",
publisher = "Gradjevinski fakultet, Subotica",
journal = "Međunarodna konferencija Savremena dostignuća u građevinarstvu 25",
title = "Beam theory in spline parametric cooridinate. Part II: examples, Teorija štapa u spline parametarskoj koordinati – II deo: primeri",
pages = "415-411",
volume = "30",
doi = "10.14415/konferencijaGFS2014.056"
}

Radenković, G.,& Kovačević, S.. (2014). Beam theory in spline parametric cooridinate. Part II: examples. in Međunarodna konferencija Savremena dostignuća u građevinarstvu 25
Gradjevinski fakultet, Subotica., 30, 411-415.
https://doi.org/10.14415/konferencijaGFS2014.056

Radenković G, Kovačević S. Beam theory in spline parametric cooridinate. Part II: examples. in Međunarodna konferencija Savremena dostignuća u građevinarstvu 25. 2014;30:411-415.
doi:10.14415/konferencijaGFS2014.056 .

Radenković, Gligor, Kovačević, Saša, "Beam theory in spline parametric cooridinate. Part II: examples" in Međunarodna konferencija Savremena dostignuća u građevinarstvu 25, 30 (2014):411-415,
https://doi.org/10.14415/konferencijaGFS2014.056 . .

TY  - CONF
AU  - Radenković, Gligor
PY  - 2014
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1256
AB  - For defining geometry and displacement of arbitrary curved beam in Euclidean E3 space, using simple and rational basis spline, Bernoulli-Euler beam finite element is defined. Because geometry of line structures is exactly presented with rational basis spline and wanted continuity at the common points between adjacent segments is achieved (C>1), the generalized coordinates for izogeometric finite element are only displacements of control points. The stiffness matrix and equivalent control forces of isogeometric Bernoulli-Euler beam elements are defined under assumption that spline parametric coordinate (beam axis) and principal moments of inertia of cross section have convective character.
PB  - Građevinski fakultet, Subotica
C3  - Međunarodna konferencija Savremena dostignuća u građevinarstvu 25
T1  - Beam theory in spline parametric cooridinate. Part I
T1  - Teorija štapa u spline parametarskoj koordinati – deo I
EP  - 403
SP  - 397
VL  - 30
DO  - 10.14415/konferencijaGFS2014.054
ER  - 

@conference{
author = "Radenković, Gligor",
year = "2014",
abstract = "For defining geometry and displacement of arbitrary curved beam in Euclidean E3 space, using simple and rational basis spline, Bernoulli-Euler beam finite element is defined. Because geometry of line structures is exactly presented with rational basis spline and wanted continuity at the common points between adjacent segments is achieved (C>1), the generalized coordinates for izogeometric finite element are only displacements of control points. The stiffness matrix and equivalent control forces of isogeometric Bernoulli-Euler beam elements are defined under assumption that spline parametric coordinate (beam axis) and principal moments of inertia of cross section have convective character.",
publisher = "Građevinski fakultet, Subotica",
journal = "Međunarodna konferencija Savremena dostignuća u građevinarstvu 25",
title = "Beam theory in spline parametric cooridinate. Part I, Teorija štapa u spline parametarskoj koordinati – deo I",
pages = "403-397",
volume = "30",
doi = "10.14415/konferencijaGFS2014.054"
}

Radenković, G.. (2014). Beam theory in spline parametric cooridinate. Part I. in Međunarodna konferencija Savremena dostignuća u građevinarstvu 25
Građevinski fakultet, Subotica., 30, 397-403.
https://doi.org/10.14415/konferencijaGFS2014.054

Radenković G. Beam theory in spline parametric cooridinate. Part I. in Međunarodna konferencija Savremena dostignuća u građevinarstvu 25. 2014;30:397-403.
doi:10.14415/konferencijaGFS2014.054 .

Radenković, Gligor, "Beam theory in spline parametric cooridinate. Part I" in Međunarodna konferencija Savremena dostignuća u građevinarstvu 25, 30 (2014):397-403,
https://doi.org/10.14415/konferencijaGFS2014.054 . .

TY  - JOUR
AU  - Radenković, Gligor
PY  - 2010
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/319
AB  - Three-dimensional beam theory based on Bernouli-Euler and Timosenko assumptions is presented in this paper. The statically and kinematicaly integral equations of the finite beam element are developed in chapter 2 and 3.The key point is given by the equilibrium equations as well as the displacements and rotations nodes compatibility conditions of the space beam structures. Kinematical aspect of the statically determined structures is exanimate in chapter 6.
AB  - U ovom radu prikazana je tehnička teorija prostornog pravolinijskog štapa za slučaj Bernouli-Eulerove i Timošenkove hipoteze o ravnim presecima. Integralne statičke i kinematičke jednačine štapa konačne dužine za model sila i deformacioni model teorije štapa date su u poglavljima 2 i 3. Centralno mesto u radu čine jednačine ravnoteže i jednačine apsolutnih i relativnih uslova kompatibilnosti pomeranja i obrtanja čvorova sistema, na osnovu kojih dobijamo uvid u njegovu statičku određenost i kinematičku stabilnost. Kinematički aspekt statički određenih nosača formiranih od jednog i dva kruta tela analiziran je u poglavlju 6.
PB  - Savez građevinskih inženjera Srbije, Beograd
T2  - Građevinski kalendar
T1  - Three-dimensional beam theory: Space structures
T1  - Tehnička teorija prostornog štapa - prostorni sistemi
EP  - 54
IS  - 42
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_grafar_319
ER  - 

@article{
author = "Radenković, Gligor",
year = "2010",
abstract = "Three-dimensional beam theory based on Bernouli-Euler and Timosenko assumptions is presented in this paper. The statically and kinematicaly integral equations of the finite beam element are developed in chapter 2 and 3.The key point is given by the equilibrium equations as well as the displacements and rotations nodes compatibility conditions of the space beam structures. Kinematical aspect of the statically determined structures is exanimate in chapter 6., U ovom radu prikazana je tehnička teorija prostornog pravolinijskog štapa za slučaj Bernouli-Eulerove i Timošenkove hipoteze o ravnim presecima. Integralne statičke i kinematičke jednačine štapa konačne dužine za model sila i deformacioni model teorije štapa date su u poglavljima 2 i 3. Centralno mesto u radu čine jednačine ravnoteže i jednačine apsolutnih i relativnih uslova kompatibilnosti pomeranja i obrtanja čvorova sistema, na osnovu kojih dobijamo uvid u njegovu statičku određenost i kinematičku stabilnost. Kinematički aspekt statički određenih nosača formiranih od jednog i dva kruta tela analiziran je u poglavlju 6.",
publisher = "Savez građevinskih inženjera Srbije, Beograd",
journal = "Građevinski kalendar",
title = "Three-dimensional beam theory: Space structures, Tehnička teorija prostornog štapa - prostorni sistemi",
pages = "54-1",
number = "42",
url = "https://hdl.handle.net/21.15107/rcub_grafar_319"
}

Radenković, G.. (2010). Three-dimensional beam theory: Space structures. in Građevinski kalendar
Savez građevinskih inženjera Srbije, Beograd.(42), 1-54.
https://hdl.handle.net/21.15107/rcub_grafar_319

Radenković G. Three-dimensional beam theory: Space structures. in Građevinski kalendar. 2010;(42):1-54.
https://hdl.handle.net/21.15107/rcub_grafar_319 .

Radenković, Gligor, "Three-dimensional beam theory: Space structures" in Građevinski kalendar, no. 42 (2010):1-54,
https://hdl.handle.net/21.15107/rcub_grafar_319 .

TY  - JOUR
AU  - Radenković, Gligor
PY  - 2007
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/155
AB  - Two-dimesional beam finite element based on Timoshenko 's beam theory is presented. Using hierarchycall approach, bending and shear stiffness matrices with linear and constant shear drformation acros the knght of the beam are formulated.
AB  - U radu je analiziran ravanski linijski element zasnovan na Timošenkovoj grednoj teoriji štapa. Korišćenjem hijerarhijskog pristupa i standardne procedure metode konačnih elemenata formulisane su matrice krutosti savijanja za slučaj linearne i konstantne deformacije smicanja duž štapa.
PB  - Univerzitet u Novom Sadu - Građevinski fakultet, Subotica
T2  - Zbornik radova Građevinskog fakulteta, Subotica
T1  - Timoshenko's beam element
T1  - Timošenkov gredni element
EP  - 252
IS  - 16
SP  - 243
UR  - https://hdl.handle.net/21.15107/rcub_grafar_155
ER  - 

@article{
author = "Radenković, Gligor",
year = "2007",
abstract = "Two-dimesional beam finite element based on Timoshenko 's beam theory is presented. Using hierarchycall approach, bending and shear stiffness matrices with linear and constant shear drformation acros the knght of the beam are formulated., U radu je analiziran ravanski linijski element zasnovan na Timošenkovoj grednoj teoriji štapa. Korišćenjem hijerarhijskog pristupa i standardne procedure metode konačnih elemenata formulisane su matrice krutosti savijanja za slučaj linearne i konstantne deformacije smicanja duž štapa.",
publisher = "Univerzitet u Novom Sadu - Građevinski fakultet, Subotica",
journal = "Zbornik radova Građevinskog fakulteta, Subotica",
title = "Timoshenko's beam element, Timošenkov gredni element",
pages = "252-243",
number = "16",
url = "https://hdl.handle.net/21.15107/rcub_grafar_155"
}

Radenković, G.. (2007). Timoshenko's beam element. in Zbornik radova Građevinskog fakulteta, Subotica
Univerzitet u Novom Sadu - Građevinski fakultet, Subotica.(16), 243-252.
https://hdl.handle.net/21.15107/rcub_grafar_155

Radenković G. Timoshenko's beam element. in Zbornik radova Građevinskog fakulteta, Subotica. 2007;(16):243-252.
https://hdl.handle.net/21.15107/rcub_grafar_155 .

Radenković, Gligor, "Timoshenko's beam element" in Zbornik radova Građevinskog fakulteta, Subotica, no. 16 (2007):243-252,
https://hdl.handle.net/21.15107/rcub_grafar_155 .

TY  - JOUR
AU  - Radenković, Gligor
PY  - 2006
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/136
AB  - Assuming convected coordinate frame, strain components are expressed as a average value of a infinitesimal deformations of the unperformed and deformed configurations. From the equilibrium momentum balance equation, using standard finite element procedure, the geometrical nonlinear solution is obtained as a average sum of the linear solutions of the original and finite configurations.
AB  - Usvajanjem Lagrangeovog konvektivno koordinatnog sistema komponente tenzora konačne deformacije izražene su kao poluzbir infinitezimalnih deformacija početnog i deformisanog referentnog položaja. Imajući ovo na umu i jednačinu momentog balansa energije, ukupno rešenje geometrijski nelinearnog zadatka dobijamo kao poluzbir linearnih rešenja iz oba referentna položaja.
PB  - Udruženje inženjera građevinarstva, geotehnike, arhitekture i urbanista "Izgradnja", Beograd
T2  - Izgradnja
T1  - One possible way of geometrical nonlinear tasks solution
T1  - Jedan mogući način rešavanja geometrijski nelinearnih zadataka
EP  - 32
IS  - 1-2
SP  - 29
VL  - 60
UR  - https://hdl.handle.net/21.15107/rcub_grafar_136
ER  - 

@article{
author = "Radenković, Gligor",
year = "2006",
abstract = "Assuming convected coordinate frame, strain components are expressed as a average value of a infinitesimal deformations of the unperformed and deformed configurations. From the equilibrium momentum balance equation, using standard finite element procedure, the geometrical nonlinear solution is obtained as a average sum of the linear solutions of the original and finite configurations., Usvajanjem Lagrangeovog konvektivno koordinatnog sistema komponente tenzora konačne deformacije izražene su kao poluzbir infinitezimalnih deformacija početnog i deformisanog referentnog položaja. Imajući ovo na umu i jednačinu momentog balansa energije, ukupno rešenje geometrijski nelinearnog zadatka dobijamo kao poluzbir linearnih rešenja iz oba referentna položaja.",
publisher = "Udruženje inženjera građevinarstva, geotehnike, arhitekture i urbanista "Izgradnja", Beograd",
journal = "Izgradnja",
title = "One possible way of geometrical nonlinear tasks solution, Jedan mogući način rešavanja geometrijski nelinearnih zadataka",
pages = "32-29",
number = "1-2",
volume = "60",
url = "https://hdl.handle.net/21.15107/rcub_grafar_136"
}

Radenković, G.. (2006). One possible way of geometrical nonlinear tasks solution. in Izgradnja
Udruženje inženjera građevinarstva, geotehnike, arhitekture i urbanista "Izgradnja", Beograd., 60(1-2), 29-32.
https://hdl.handle.net/21.15107/rcub_grafar_136

Radenković G. One possible way of geometrical nonlinear tasks solution. in Izgradnja. 2006;60(1-2):29-32.
https://hdl.handle.net/21.15107/rcub_grafar_136 .

Radenković, Gligor, "One possible way of geometrical nonlinear tasks solution" in Izgradnja, 60, no. 1-2 (2006):29-32,
https://hdl.handle.net/21.15107/rcub_grafar_136 .

TY  - CONF
AU  - Stošić, Božidar
AU  - Ranković, Slavko
AU  - Deretić-Stojanović, Biljana
AU  - Stošić, Saša
AU  - Radenković, Gligor
AU  - Mašović, Snežana
AU  - Popović, Milenko
AU  - Stoišić, Radoslav
PY  - 2003
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3014
AB  - The conception design of the bridge over the Danube by Beska near Novi Sad, presents the 
purchased work on the international competition. According to the conditions of the competition the new bridge should be constructed next to the present concrete bridge and its silhouette should be fully flowed. 
Authors suggested that the main bridge part should be the steel continuous girder 
( 60+ 105+ 210+ 105+60=540.0m) which cross-section is box with orthotropic roadway construction. The access bridge parts over river inundation are consisted of more composite continuous girders. Their cross - sections are two steel boxes which are composed to concrete plate by upper flanges. The length of the right side of the access bridge part is 180.0m and the length of the left side is 1492.55m.
PB  - MASE
C3  - MACEDONIAN ASSOCIATION OF STRUCTURAL ENGINEERS - MASE
T1  - The bridge over the Danube by Beska, Serbia conception design, the purchased work on the international competition
EP  - 304
SP  - 299
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3014
ER  - 

@conference{
author = "Stošić, Božidar and Ranković, Slavko and Deretić-Stojanović, Biljana and Stošić, Saša and Radenković, Gligor and Mašović, Snežana and Popović, Milenko and Stoišić, Radoslav",
year = "2003",
abstract = "The conception design of the bridge over the Danube by Beska near Novi Sad, presents the 
purchased work on the international competition. According to the conditions of the competition the new bridge should be constructed next to the present concrete bridge and its silhouette should be fully flowed. 
Authors suggested that the main bridge part should be the steel continuous girder 
( 60+ 105+ 210+ 105+60=540.0m) which cross-section is box with orthotropic roadway construction. The access bridge parts over river inundation are consisted of more composite continuous girders. Their cross - sections are two steel boxes which are composed to concrete plate by upper flanges. The length of the right side of the access bridge part is 180.0m and the length of the left side is 1492.55m.",
publisher = "MASE",
journal = "MACEDONIAN ASSOCIATION OF STRUCTURAL ENGINEERS - MASE",
title = "The bridge over the Danube by Beska, Serbia conception design, the purchased work on the international competition",
pages = "304-299",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3014"
}

Stošić, B., Ranković, S., Deretić-Stojanović, B., Stošić, S., Radenković, G., Mašović, S., Popović, M.,& Stoišić, R.. (2003). The bridge over the Danube by Beska, Serbia conception design, the purchased work on the international competition. in MACEDONIAN ASSOCIATION OF STRUCTURAL ENGINEERS - MASE
MASE., 299-304.
https://hdl.handle.net/21.15107/rcub_grafar_3014

Stošić B, Ranković S, Deretić-Stojanović B, Stošić S, Radenković G, Mašović S, Popović M, Stoišić R. The bridge over the Danube by Beska, Serbia conception design, the purchased work on the international competition. in MACEDONIAN ASSOCIATION OF STRUCTURAL ENGINEERS - MASE. 2003;:299-304.
https://hdl.handle.net/21.15107/rcub_grafar_3014 .

Stošić, Božidar, Ranković, Slavko, Deretić-Stojanović, Biljana, Stošić, Saša, Radenković, Gligor, Mašović, Snežana, Popović, Milenko, Stoišić, Radoslav, "The bridge over the Danube by Beska, Serbia conception design, the purchased work on the international competition" in MACEDONIAN ASSOCIATION OF STRUCTURAL ENGINEERS - MASE (2003):299-304,
https://hdl.handle.net/21.15107/rcub_grafar_3014 .

TY  - JOUR
AU  - Radenković, Gligor
PY  - 2002
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/24
AB  - Assuming convected coordinate frame, a three node triangular shell element which uses a discrete Kirchof bending formulation is presented. The tangential components and transverse displacement are approximated by complete quadratic and cubic polynomial, respectively. The thru geometry of a triangular shell element is represented by linear variation of a base vectors. The curved shell element incorporates the effects of coupling between membrane and flexural behaviour, while flat solution separate those two state of stresses avoiding membrane locking. The proposed theory and finite element implementation are evaluated through an extensive set of characteristic plate and shell problems. Numerical examples consist skew plates problem, pinched cylinder and hemispherical shell. .
AB  - U ovom radu prikazana je formulacija trougaonog Diskretnog Kirhofovog konačnog elementa u sistemu materijalnih linija koordinata. Promene tangencijalnih komponenti pomeranja i ugiba unutar konačnog elementa opisane su potpunim polinomima drugog odnosno trećeg stepena, dok je geometrija interpolovana linearnom promenom baznih vektora. Opšte rešenje pretpostavlja zakrivljeni element ljuske u kojem su problem savijanja i membransko naprezanje međusobno spregnuti odakle sledi da je kvadratno polje Mindlin/Raisnerovih rotacija izraženo ne samo preko čvornih nepoznatih savijanja već i tangencijalnih komponenti pomeranja. U slučaju ravnog rešenja (element ploče) ovaj efekat ne postoji pa je samim tim i izbegnuta mogućnost pojave membranskog lockinga. Diskretni Kirchofljevi trougaoni elementi formulisani u teorijskom delu rada korišćeni su za rešavanje određenog broja primera iz linearne analize. Ovi primeri su dosta specifični i najčešće korišćeni za proveru mogućnosti konačnih elemenata ljuski i ploča. Primeri sadrže kose ploče, 'pinched' cilindar i sfernu ljusku opterećenih ravnotežnim sistemom koncentrisanih sila. .
PB  - Udruženje inženjera građevinarstva, geotehnike, arhitekture i urbanista "Izgradnja", Beograd
T2  - Izgradnja
T1  - Discrete Kirchof theory of thin shells based on triangular finite element, II
T1  - Diskretna Kirchofljeva teorija tankih elastičnih ljuski izvedena iz trougaonog konačnog elementa, II
EP  - 408
IS  - 12
SP  - 405
VL  - 56
UR  - https://hdl.handle.net/21.15107/rcub_grafar_24
ER  - 

@article{
author = "Radenković, Gligor",
year = "2002",
abstract = "Assuming convected coordinate frame, a three node triangular shell element which uses a discrete Kirchof bending formulation is presented. The tangential components and transverse displacement are approximated by complete quadratic and cubic polynomial, respectively. The thru geometry of a triangular shell element is represented by linear variation of a base vectors. The curved shell element incorporates the effects of coupling between membrane and flexural behaviour, while flat solution separate those two state of stresses avoiding membrane locking. The proposed theory and finite element implementation are evaluated through an extensive set of characteristic plate and shell problems. Numerical examples consist skew plates problem, pinched cylinder and hemispherical shell. ., U ovom radu prikazana je formulacija trougaonog Diskretnog Kirhofovog konačnog elementa u sistemu materijalnih linija koordinata. Promene tangencijalnih komponenti pomeranja i ugiba unutar konačnog elementa opisane su potpunim polinomima drugog odnosno trećeg stepena, dok je geometrija interpolovana linearnom promenom baznih vektora. Opšte rešenje pretpostavlja zakrivljeni element ljuske u kojem su problem savijanja i membransko naprezanje međusobno spregnuti odakle sledi da je kvadratno polje Mindlin/Raisnerovih rotacija izraženo ne samo preko čvornih nepoznatih savijanja već i tangencijalnih komponenti pomeranja. U slučaju ravnog rešenja (element ploče) ovaj efekat ne postoji pa je samim tim i izbegnuta mogućnost pojave membranskog lockinga. Diskretni Kirchofljevi trougaoni elementi formulisani u teorijskom delu rada korišćeni su za rešavanje određenog broja primera iz linearne analize. Ovi primeri su dosta specifični i najčešće korišćeni za proveru mogućnosti konačnih elemenata ljuski i ploča. Primeri sadrže kose ploče, 'pinched' cilindar i sfernu ljusku opterećenih ravnotežnim sistemom koncentrisanih sila. .",
publisher = "Udruženje inženjera građevinarstva, geotehnike, arhitekture i urbanista "Izgradnja", Beograd",
journal = "Izgradnja",
title = "Discrete Kirchof theory of thin shells based on triangular finite element, II, Diskretna Kirchofljeva teorija tankih elastičnih ljuski izvedena iz trougaonog konačnog elementa, II",
pages = "408-405",
number = "12",
volume = "56",
url = "https://hdl.handle.net/21.15107/rcub_grafar_24"
}

Radenković, G.. (2002). Discrete Kirchof theory of thin shells based on triangular finite element, II. in Izgradnja
Udruženje inženjera građevinarstva, geotehnike, arhitekture i urbanista "Izgradnja", Beograd., 56(12), 405-408.
https://hdl.handle.net/21.15107/rcub_grafar_24

Radenković G. Discrete Kirchof theory of thin shells based on triangular finite element, II. in Izgradnja. 2002;56(12):405-408.
https://hdl.handle.net/21.15107/rcub_grafar_24 .

Radenković, Gligor, "Discrete Kirchof theory of thin shells based on triangular finite element, II" in Izgradnja, 56, no. 12 (2002):405-408,
https://hdl.handle.net/21.15107/rcub_grafar_24 .

TY  - JOUR
AU  - Radenković, Gligor
PY  - 2002
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/29
AB  - Assuming convected coordinate frame, a three node triangular shell element which uses a discrete Kirchof bending formulation is presented. The tangential components and transverse displacement are approximated by complete quadratic and cubic polynomial, respectively. The thru geometry of a triangular shell element is represented by linear variation of a base vectors. The curved shell element incorporates the effects of coupling between membrane and flexural behaviour, while flat solution separate those two state of stresses avoiding membrane locking. The proposed theory and finite element implementation are evaluated through an extensive set of characteristic plate and shell problems. Numerical examples consist skew plates problem, pinched cylinder and hemispherical shell. .
AB  - U ovom radu prikazana je formulacija trougaonog Diskretnog Kirhofovog konačnog elementa u sistemu materijalnih linija koordinata. Promene tangencijalnih komponenti pomeranja i ugiba unutar konačnog elementa opisane su potpunim polinomima drugog odnosno trećeg stepena, dok je geometrija interpolovana linearnom promenom baznih vektora. Opšte rešenje pretpostavlja zakrivljeni element ljuske u kojem su problem savijanja i membransko naprezanje međusobno spregnuti odakle sledi da je kvadratno polje Mindlin/Raisnerovih rotacija izraženo ne samo preko čvornih nepoznatih savijanja već i tangencijalnih komponenti pomeranja. U slučaju ravnog rešenja (element ploče) ovaj efekat ne postoji pa je samim tim i izbegnuta mogućnost pojave membranskog lockinga. Diskretni Kirchofljevi trougaoni elementi formulisani u teorijskom delu rada korišćeni su za rešavanje određenog broja primera iz linearne analize. Ovi primeri su dosta specifični i najčešće korišćeni za proveru mogućnosti konačnih elemenata ljuski i ploča. Primeri sadrže kose ploče, 'pinched' cilindar i sfernu ljusku opterećenih ravnotežnim sistemom koncentrisanih sila. .
PB  - Udruženje inženjera građevinarstva, geotehnike, arhitekture i urbanista "Izgradnja", Beograd
T2  - Izgradnja
T1  - Discrete Kirchof theory of thin shells based on triangular finite element, I
T1  - Diskretna Kirchofljeva teorija tankih elastičnih ljuski izvedena iz trougaonog konačnog elementa, I
EP  - 358
IS  - 11
SP  - 351
VL  - 56
UR  - https://hdl.handle.net/21.15107/rcub_grafar_29
ER  - 

@article{
author = "Radenković, Gligor",
year = "2002",
abstract = "Assuming convected coordinate frame, a three node triangular shell element which uses a discrete Kirchof bending formulation is presented. The tangential components and transverse displacement are approximated by complete quadratic and cubic polynomial, respectively. The thru geometry of a triangular shell element is represented by linear variation of a base vectors. The curved shell element incorporates the effects of coupling between membrane and flexural behaviour, while flat solution separate those two state of stresses avoiding membrane locking. The proposed theory and finite element implementation are evaluated through an extensive set of characteristic plate and shell problems. Numerical examples consist skew plates problem, pinched cylinder and hemispherical shell. ., U ovom radu prikazana je formulacija trougaonog Diskretnog Kirhofovog konačnog elementa u sistemu materijalnih linija koordinata. Promene tangencijalnih komponenti pomeranja i ugiba unutar konačnog elementa opisane su potpunim polinomima drugog odnosno trećeg stepena, dok je geometrija interpolovana linearnom promenom baznih vektora. Opšte rešenje pretpostavlja zakrivljeni element ljuske u kojem su problem savijanja i membransko naprezanje međusobno spregnuti odakle sledi da je kvadratno polje Mindlin/Raisnerovih rotacija izraženo ne samo preko čvornih nepoznatih savijanja već i tangencijalnih komponenti pomeranja. U slučaju ravnog rešenja (element ploče) ovaj efekat ne postoji pa je samim tim i izbegnuta mogućnost pojave membranskog lockinga. Diskretni Kirchofljevi trougaoni elementi formulisani u teorijskom delu rada korišćeni su za rešavanje određenog broja primera iz linearne analize. Ovi primeri su dosta specifični i najčešće korišćeni za proveru mogućnosti konačnih elemenata ljuski i ploča. Primeri sadrže kose ploče, 'pinched' cilindar i sfernu ljusku opterećenih ravnotežnim sistemom koncentrisanih sila. .",
publisher = "Udruženje inženjera građevinarstva, geotehnike, arhitekture i urbanista "Izgradnja", Beograd",
journal = "Izgradnja",
title = "Discrete Kirchof theory of thin shells based on triangular finite element, I, Diskretna Kirchofljeva teorija tankih elastičnih ljuski izvedena iz trougaonog konačnog elementa, I",
pages = "358-351",
number = "11",
volume = "56",
url = "https://hdl.handle.net/21.15107/rcub_grafar_29"
}

Radenković, G.. (2002). Discrete Kirchof theory of thin shells based on triangular finite element, I. in Izgradnja
Udruženje inženjera građevinarstva, geotehnike, arhitekture i urbanista "Izgradnja", Beograd., 56(11), 351-358.
https://hdl.handle.net/21.15107/rcub_grafar_29

Radenković G. Discrete Kirchof theory of thin shells based on triangular finite element, I. in Izgradnja. 2002;56(11):351-358.
https://hdl.handle.net/21.15107/rcub_grafar_29 .

Radenković, Gligor, "Discrete Kirchof theory of thin shells based on triangular finite element, I" in Izgradnja, 56, no. 11 (2002):351-358,
https://hdl.handle.net/21.15107/rcub_grafar_29 .

TY  - JOUR
AU  - Boschat, J.
AU  - Radenković, Gligor
PY  - 1962
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3
T2  - ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mech
T1  - Une généralisation de la loi limite de Tresca aux matériaux anisotropes
IS  - 1 S
VL  - 42
DO  - 10.1002/zamm.19620421336
ER  - 

@article{
author = "Boschat, J. and Radenković, Gligor",
year = "1962",
journal = "ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mech",
title = "Une généralisation de la loi limite de Tresca aux matériaux anisotropes",
number = "1 S",
volume = "42",
doi = "10.1002/zamm.19620421336"
}

Boschat, J.,& Radenković, G.. (1962). Une généralisation de la loi limite de Tresca aux matériaux anisotropes. in ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mech, 42(1 S).
https://doi.org/10.1002/zamm.19620421336

Boschat J, Radenković G. Une généralisation de la loi limite de Tresca aux matériaux anisotropes. in ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mech. 1962;42(1 S).
doi:10.1002/zamm.19620421336 .

Boschat, J., Radenković, Gligor, "Une généralisation de la loi limite de Tresca aux matériaux anisotropes" in ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mech, 42, no. 1 S (1962),
https://doi.org/10.1002/zamm.19620421336 . .