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.
TY - 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 . .
