In-plane free vibration and response analysis of isotropic rectangular plates using the dynamic stiffness method
Abstract
The development of the dynamic stiffness matrix for isotropic rectangular plate with arbitrary boundary conditions undergoing in-plane free vibration is presented in this paper. Gorman's superposition method is exploited to obtain the solution of the governing equations of motion. The dynamic stiffness matrix is derived using the Projection method. The obtained results are in good agreement with the results obtained using exact solutions for some special cases and also with finite element solutions. Modeling of plates undergoing in-plane vibration using dynamic stiffness method demonstrate high precision, accuracy and low memory requirement in comparison with the finite element method.
Keywords:
In-plane vibration / Dynamic stiffness matrix / Dynamic stiffness methodSource:
Computers & Structures, 2015, 152, 82-95Publisher:
- Elsevier Ltd
Funding / projects:
DOI: 10.1016/j.compstruc.2015.02.001
ISSN: 0045-7949
WoS: 000352327000007
Scopus: 2-s2.0-84924241163
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Institution/Community
GraFarTY - JOUR AU - Nefovska-Danilović, Marija AU - Petronijević, Mira PY - 2015 UR - https://grafar.grf.bg.ac.rs/handle/123456789/697 AB - The development of the dynamic stiffness matrix for isotropic rectangular plate with arbitrary boundary conditions undergoing in-plane free vibration is presented in this paper. Gorman's superposition method is exploited to obtain the solution of the governing equations of motion. The dynamic stiffness matrix is derived using the Projection method. The obtained results are in good agreement with the results obtained using exact solutions for some special cases and also with finite element solutions. Modeling of plates undergoing in-plane vibration using dynamic stiffness method demonstrate high precision, accuracy and low memory requirement in comparison with the finite element method. PB - Elsevier Ltd T2 - Computers & Structures T1 - In-plane free vibration and response analysis of isotropic rectangular plates using the dynamic stiffness method EP - 95 SP - 82 VL - 152 DO - 10.1016/j.compstruc.2015.02.001 ER -
@article{ author = "Nefovska-Danilović, Marija and Petronijević, Mira", year = "2015", abstract = "The development of the dynamic stiffness matrix for isotropic rectangular plate with arbitrary boundary conditions undergoing in-plane free vibration is presented in this paper. Gorman's superposition method is exploited to obtain the solution of the governing equations of motion. The dynamic stiffness matrix is derived using the Projection method. The obtained results are in good agreement with the results obtained using exact solutions for some special cases and also with finite element solutions. Modeling of plates undergoing in-plane vibration using dynamic stiffness method demonstrate high precision, accuracy and low memory requirement in comparison with the finite element method.", publisher = "Elsevier Ltd", journal = "Computers & Structures", title = "In-plane free vibration and response analysis of isotropic rectangular plates using the dynamic stiffness method", pages = "95-82", volume = "152", doi = "10.1016/j.compstruc.2015.02.001" }
Nefovska-Danilović, M.,& Petronijević, M.. (2015). In-plane free vibration and response analysis of isotropic rectangular plates using the dynamic stiffness method. in Computers & Structures Elsevier Ltd., 152, 82-95. https://doi.org/10.1016/j.compstruc.2015.02.001
Nefovska-Danilović M, Petronijević M. In-plane free vibration and response analysis of isotropic rectangular plates using the dynamic stiffness method. in Computers & Structures. 2015;152:82-95. doi:10.1016/j.compstruc.2015.02.001 .
Nefovska-Danilović, Marija, Petronijević, Mira, "In-plane free vibration and response analysis of isotropic rectangular plates using the dynamic stiffness method" in Computers & Structures, 152 (2015):82-95, https://doi.org/10.1016/j.compstruc.2015.02.001 . .