This paper deals with the free vibration analysis of isotropic plate assemblies using the dynamic stiffness method (DSM) based on the Reddy's higher-order shear deformation theory (HSDT). Using the proposed method, the isotropic rectangular plate assemblies of non-uniform thickness and material properties can be analyzed. The proposed model does not have any restrictions regarding the boundary conditions or the frequency limitations. It enables free vibration analysis of both thin and thick plates, making it advantageous in comparison with the conventional finite element method (FEM) regarding the computational cost and the accuracy of the results. Three coupled Euler-Lagrange equations of motion based on the HSDT have been transformed into two uncoupled equations of motion introducing a boundary layer function. The dynamic stiffness matrix for a completely free rectangular plate element has been derived using the superposition and the projection method. The proposed numerical model ha...s been applied in the free vibration analysis of rectangular plate assemblies. Along with the convergence study, the results for natural frequencies have been validated against the existing data from the literature, the previous results from the authors as well as the results obtained by using the finite element software Abaqus. Excellent agreement has been obtained. Finally, a variety of new results is provided as a benchmark for future investigations.
Source:
Journal of Sound and Vibration, 2016, 364, 110-132
TY - JOUR
AU - Kolarević, Nevenka
AU - Marjanović, Miroslav
AU - Nefovska-Danilović, Marija
AU - Petronijević, Mira
PY - 2016
UR - https://grafar.grf.bg.ac.rs/handle/123456789/800
AB - This paper deals with the free vibration analysis of isotropic plate assemblies using the dynamic stiffness method (DSM) based on the Reddy's higher-order shear deformation theory (HSDT). Using the proposed method, the isotropic rectangular plate assemblies of non-uniform thickness and material properties can be analyzed. The proposed model does not have any restrictions regarding the boundary conditions or the frequency limitations. It enables free vibration analysis of both thin and thick plates, making it advantageous in comparison with the conventional finite element method (FEM) regarding the computational cost and the accuracy of the results. Three coupled Euler-Lagrange equations of motion based on the HSDT have been transformed into two uncoupled equations of motion introducing a boundary layer function. The dynamic stiffness matrix for a completely free rectangular plate element has been derived using the superposition and the projection method. The proposed numerical model has been applied in the free vibration analysis of rectangular plate assemblies. Along with the convergence study, the results for natural frequencies have been validated against the existing data from the literature, the previous results from the authors as well as the results obtained by using the finite element software Abaqus. Excellent agreement has been obtained. Finally, a variety of new results is provided as a benchmark for future investigations.
PB - Academic Press
T2 - Journal of Sound and Vibration
T1 - Free vibration analysis of plate assemblies using the dynamic stiffness method based on the higher order shear deformation theory
EP - 132
SP - 110
VL - 364
DO - 10.1016/j.jsv.2015.11.016
ER -
@article{
author = "Kolarević, Nevenka and Marjanović, Miroslav and Nefovska-Danilović, Marija and Petronijević, Mira",
year = "2016",
abstract = "This paper deals with the free vibration analysis of isotropic plate assemblies using the dynamic stiffness method (DSM) based on the Reddy's higher-order shear deformation theory (HSDT). Using the proposed method, the isotropic rectangular plate assemblies of non-uniform thickness and material properties can be analyzed. The proposed model does not have any restrictions regarding the boundary conditions or the frequency limitations. It enables free vibration analysis of both thin and thick plates, making it advantageous in comparison with the conventional finite element method (FEM) regarding the computational cost and the accuracy of the results. Three coupled Euler-Lagrange equations of motion based on the HSDT have been transformed into two uncoupled equations of motion introducing a boundary layer function. The dynamic stiffness matrix for a completely free rectangular plate element has been derived using the superposition and the projection method. The proposed numerical model has been applied in the free vibration analysis of rectangular plate assemblies. Along with the convergence study, the results for natural frequencies have been validated against the existing data from the literature, the previous results from the authors as well as the results obtained by using the finite element software Abaqus. Excellent agreement has been obtained. Finally, a variety of new results is provided as a benchmark for future investigations.",
publisher = "Academic Press",
journal = "Journal of Sound and Vibration",
title = "Free vibration analysis of plate assemblies using the dynamic stiffness method based on the higher order shear deformation theory",
pages = "132-110",
volume = "364",
doi = "10.1016/j.jsv.2015.11.016"
}
Kolarević, N., Marjanović, M., Nefovska-Danilović, M.,& Petronijević, M.. (2016). Free vibration analysis of plate assemblies using the dynamic stiffness method based on the higher order shear deformation theory. in Journal of Sound and Vibration
Academic Press., 364, 110-132.
https://doi.org/10.1016/j.jsv.2015.11.016
Kolarević N, Marjanović M, Nefovska-Danilović M, Petronijević M. Free vibration analysis of plate assemblies using the dynamic stiffness method based on the higher order shear deformation theory. in Journal of Sound and Vibration. 2016;364:110-132.
doi:10.1016/j.jsv.2015.11.016 .
Kolarević, Nevenka, Marjanović, Miroslav, Nefovska-Danilović, Marija, Petronijević, Mira, "Free vibration analysis of plate assemblies using the dynamic stiffness method based on the higher order shear deformation theory" in Journal of Sound and Vibration, 364 (2016):110-132,
https://doi.org/10.1016/j.jsv.2015.11.016 . .
