The dynamic stiffness matrix of completely free rectangular Mindlin plate element is presented in this paper. The system of three coupled equations of motion is transformed into two uncoupled equations introducing a boundary layer function. The dynamic stiffness matrix is derived by use of the superposition method and the projection method. Using the proposed method natural frequencies of individual plates and plate assemblies with arbitrary boundary conditions are computed and validated against the results available in the literature and the finite element analysis. High efficiency and accuracy of the results are demonstrated.
TY - JOUR
AU - Kolarević, Nevenka
AU - Nefovska-Danilović, Marija
AU - Petronijević, Mira
PY - 2015
UR - https://grafar.grf.bg.ac.rs/handle/123456789/680
AB - The dynamic stiffness matrix of completely free rectangular Mindlin plate element is presented in this paper. The system of three coupled equations of motion is transformed into two uncoupled equations introducing a boundary layer function. The dynamic stiffness matrix is derived by use of the superposition method and the projection method. Using the proposed method natural frequencies of individual plates and plate assemblies with arbitrary boundary conditions are computed and validated against the results available in the literature and the finite element analysis. High efficiency and accuracy of the results are demonstrated.
PB - Academic Press
T2 - Journal of Sound and Vibration
T1 - Dynamic stiffness elements for free vibration analysis of rectangular Mindlin plate assemblies
EP - 106
SP - 84
VL - 359
DO - 10.1016/j.jsv.2015.06.031
ER -
@article{
author = "Kolarević, Nevenka and Nefovska-Danilović, Marija and Petronijević, Mira",
year = "2015",
abstract = "The dynamic stiffness matrix of completely free rectangular Mindlin plate element is presented in this paper. The system of three coupled equations of motion is transformed into two uncoupled equations introducing a boundary layer function. The dynamic stiffness matrix is derived by use of the superposition method and the projection method. Using the proposed method natural frequencies of individual plates and plate assemblies with arbitrary boundary conditions are computed and validated against the results available in the literature and the finite element analysis. High efficiency and accuracy of the results are demonstrated.",
publisher = "Academic Press",
journal = "Journal of Sound and Vibration",
title = "Dynamic stiffness elements for free vibration analysis of rectangular Mindlin plate assemblies",
pages = "106-84",
volume = "359",
doi = "10.1016/j.jsv.2015.06.031"
}
Kolarević, N., Nefovska-Danilović, M.,& Petronijević, M.. (2015). Dynamic stiffness elements for free vibration analysis of rectangular Mindlin plate assemblies. in Journal of Sound and Vibration
Academic Press., 359, 84-106.
https://doi.org/10.1016/j.jsv.2015.06.031
Kolarević N, Nefovska-Danilović M, Petronijević M. Dynamic stiffness elements for free vibration analysis of rectangular Mindlin plate assemblies. in Journal of Sound and Vibration. 2015;359:84-106.
doi:10.1016/j.jsv.2015.06.031 .
Kolarević, Nevenka, Nefovska-Danilović, Marija, Petronijević, Mira, "Dynamic stiffness elements for free vibration analysis of rectangular Mindlin plate assemblies" in Journal of Sound and Vibration, 359 (2015):84-106,
https://doi.org/10.1016/j.jsv.2015.06.031 . .
