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Application of dynamic stiffness method in numerical free vibration analysis of stiffened plates

Primena metode dinamičke krutosti u numeričkoj analizi slobodnih vibracija ploča sa ukrućenjima

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Authors
Damnjanović, Emilija
Marjanović, Miroslav
Nefovska-Danilović, Marija
Jočković, Miloš
Kolarević, Nevenka
Article (Published version)
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Abstract
The free vibration analysis of stiffened plate assemblies has been performed in this paper by using the dynamic stiffness method. Rectangular Mindlin plate dynamic stiffness element has been formulated. Using the rotation matrices, dynamic stiffness matrices of single plates have been derived in global coordinate system. The global dynamic stiffness matrix of plate assembly has been derived by using similar assembly procedure as in the finite element method. The natural frequencies of stiffened plate assemblies with different boundary conditions have been computed and validated against the results obtained by using the commercial software package Abaqus. High accuracy of the results has been demonstrated.
U okviru ovog rada, analizirane su slobodne vibracije ploča sa ukrućenjima, primenom metode dinamičke krutosti. Formulisan je pravougaoni element Mindlin-ove ploče, zasnovan na metodi dinamičke krutosti. Primenom matrica rotacije, formirane su dinamičke matrice krutosti pojedinačnih ploča u globalnom koordinatnom sistemu. Korišćenjem sličnog postupka kao u metodi konačnih elemenata, izvedena je globalna dinamička matrica krutosti sistema ploča. Određene su sopstvene frekvencije ploča sa ukrućenjima za različite konturne uslove i upoređene sa vrednostima dobijenim u komercijalnom programskom paketu Abaqus. Dobijeni su rezultati visoke tačnosti.
Keywords:
free vibrations / dynamic stiffness matrix / stiffened plates / slobodne vibracije / dinamička matrica krutosti / ploče sa ukrućenjima
Source:
Građevinski materijali i konstrukcije, 2017, 60, 2, 21-32
Publisher:
  • Društvo za ispitivanje i istraživanje materijala i konstrukcija Srbije, Beograd
Funding / projects:
  • Towards development of sustainable cities: influence of traffic induced vibrations on buildings and humans (RS-36046)
  • Research on condition assessment and improvement methods of civil engineering structures in view of their serviceability, load-bearing capacity, cost effectiveness and maintenance (RS-36048)

DOI: 10.5937/grmk1702021D

ISSN: 2217-8139

WoS: 000412495200002

[ Google Scholar ]
1
URI
https://grafar.grf.bg.ac.rs/handle/123456789/892
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  • Radovi istraživača / Researcher's publications
  • Катедра за техничку механику и теорију конструкција
Institution/Community
GraFar
TY  - JOUR
AU  - Damnjanović, Emilija
AU  - Marjanović, Miroslav
AU  - Nefovska-Danilović, Marija
AU  - Jočković, Miloš
AU  - Kolarević, Nevenka
PY  - 2017
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/892
AB  - The free vibration analysis of stiffened plate assemblies has been performed in this paper by using the dynamic stiffness method. Rectangular Mindlin plate dynamic stiffness element has been formulated. Using the rotation matrices, dynamic stiffness matrices of single plates have been derived in global coordinate system. The global dynamic stiffness matrix of plate assembly has been derived by using similar assembly procedure as in the finite element method. The natural frequencies of stiffened plate assemblies with different boundary conditions have been computed and validated against the results obtained by using the commercial software package Abaqus. High accuracy of the results has been demonstrated.
AB  - U okviru ovog rada, analizirane su slobodne vibracije ploča sa ukrućenjima, primenom metode dinamičke krutosti. Formulisan je pravougaoni element Mindlin-ove ploče, zasnovan na metodi dinamičke krutosti. Primenom matrica rotacije, formirane su dinamičke matrice krutosti pojedinačnih ploča u globalnom koordinatnom sistemu. Korišćenjem sličnog postupka kao u metodi konačnih elemenata, izvedena je globalna dinamička matrica krutosti sistema ploča. Određene su sopstvene frekvencije ploča sa ukrućenjima za različite konturne uslove i upoređene sa vrednostima dobijenim u komercijalnom programskom paketu Abaqus. Dobijeni su rezultati visoke tačnosti.
PB  - Društvo za ispitivanje i istraživanje materijala i konstrukcija Srbije, Beograd
T2  - Građevinski materijali i konstrukcije
T1  - Application of dynamic stiffness method in numerical free vibration analysis of stiffened plates
T1  - Primena metode dinamičke krutosti u numeričkoj analizi slobodnih vibracija ploča sa ukrućenjima
EP  - 32
IS  - 2
SP  - 21
VL  - 60
DO  - 10.5937/grmk1702021D
ER  - 
@article{
author = "Damnjanović, Emilija and Marjanović, Miroslav and Nefovska-Danilović, Marija and Jočković, Miloš and Kolarević, Nevenka",
year = "2017",
abstract = "The free vibration analysis of stiffened plate assemblies has been performed in this paper by using the dynamic stiffness method. Rectangular Mindlin plate dynamic stiffness element has been formulated. Using the rotation matrices, dynamic stiffness matrices of single plates have been derived in global coordinate system. The global dynamic stiffness matrix of plate assembly has been derived by using similar assembly procedure as in the finite element method. The natural frequencies of stiffened plate assemblies with different boundary conditions have been computed and validated against the results obtained by using the commercial software package Abaqus. High accuracy of the results has been demonstrated., U okviru ovog rada, analizirane su slobodne vibracije ploča sa ukrućenjima, primenom metode dinamičke krutosti. Formulisan je pravougaoni element Mindlin-ove ploče, zasnovan na metodi dinamičke krutosti. Primenom matrica rotacije, formirane su dinamičke matrice krutosti pojedinačnih ploča u globalnom koordinatnom sistemu. Korišćenjem sličnog postupka kao u metodi konačnih elemenata, izvedena je globalna dinamička matrica krutosti sistema ploča. Određene su sopstvene frekvencije ploča sa ukrućenjima za različite konturne uslove i upoređene sa vrednostima dobijenim u komercijalnom programskom paketu Abaqus. Dobijeni su rezultati visoke tačnosti.",
publisher = "Društvo za ispitivanje i istraživanje materijala i konstrukcija Srbije, Beograd",
journal = "Građevinski materijali i konstrukcije",
title = "Application of dynamic stiffness method in numerical free vibration analysis of stiffened plates, Primena metode dinamičke krutosti u numeričkoj analizi slobodnih vibracija ploča sa ukrućenjima",
pages = "32-21",
number = "2",
volume = "60",
doi = "10.5937/grmk1702021D"
}
Damnjanović, E., Marjanović, M., Nefovska-Danilović, M., Jočković, M.,& Kolarević, N.. (2017). Application of dynamic stiffness method in numerical free vibration analysis of stiffened plates. in Građevinski materijali i konstrukcije
Društvo za ispitivanje i istraživanje materijala i konstrukcija Srbije, Beograd., 60(2), 21-32.
https://doi.org/10.5937/grmk1702021D
Damnjanović E, Marjanović M, Nefovska-Danilović M, Jočković M, Kolarević N. Application of dynamic stiffness method in numerical free vibration analysis of stiffened plates. in Građevinski materijali i konstrukcije. 2017;60(2):21-32.
doi:10.5937/grmk1702021D .
Damnjanović, Emilija, Marjanović, Miroslav, Nefovska-Danilović, Marija, Jočković, Miloš, Kolarević, Nevenka, "Application of dynamic stiffness method in numerical free vibration analysis of stiffened plates" in Građevinski materijali i konstrukcije, 60, no. 2 (2017):21-32,
https://doi.org/10.5937/grmk1702021D . .

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