A review of the analytical solution methods for the eigenvalue problems of rectangular plates

Y Xing, LI Gen, Y Yuan - International Journal of Mechanical Sciences, 2022 - Elsevier
This paper presents a review of typical analytical solution methods for the eigenvalue
problems of rectangular plates. Apart from the exact Levy and Navier methods, this paper …

New analytic free vibration solutions of non-Lévy-type porous FGM rectangular plates within the symplectic framework

Z Hu, Y Shi, S Xiong, X Zheng, R Li - Thin-Walled Structures, 2023 - Elsevier
This study reports new analytic free vibration solutions of non-Lévy-type porous functionally
graded material (FGM) rectangular plates, ie, those without two opposite edges simply …

Application of dynamic stiffness method for accurate free vibration analysis of sigmoid and exponential functionally graded rectangular plates

S Kumar, P Jana - International Journal of Mechanical Sciences, 2019 - Elsevier
In this work, the dynamic stiffness method (DSM) is implemented to investigate free vibration
behaviour of thin rectangular functionally graded material (FGM) plate with the sigmoid (S …

Vibration response of FG-CNTRC plate resting on non-homogeneous elastic foundation via a closed-form dynamic stiffness formulation

R Kumar, P Jana - Structures, 2023 - Elsevier
In this work, a closed-form dynamic stiffness matrix has been formulated to study the
influence of various configurations of non-homogeneous elastic foundation on the free …

Wave propagation in a FG circular plate via the physical neutral surface concept

GL She, HX Ding, YW Zhang - … Engineering and Mechanics, An Int'l …, 2022 - dbpia.co.kr
In this paper, the physical neutral surface concept is applied to study the wave propagation
of functionally graded (FG) circular plate, the wave equation is derived by Hamiltonian …

Analysis of free vibration of functionally graded material micro-plates with thermoelastic damping

SR Li, HK Ma - Archive of Applied Mechanics, 2020 - Springer
This paper presents a theoretical investigation on the response of free vibration of
functionally graded material (FGM) micro-plates with thermoelastic damping (TED) …

Accurate solution for free vibration behaviour of stepped FGM plates implementing the dynamic stiffness method

S Kumar, P Jana - Structures, 2022 - Elsevier
In this article, free vibration response of stepped functionally graded material (FGM) plate is
studied through the implementation of dynamic stiffness method (DSM). The material model …

A strong-form Chebyshev-RPIM meshless solution for free vibration of conical shell panels with variable thickness and fiber curvature

S Hu, R Zhong, Q Wang, B Qin, W Shao - Composite Structures, 2022 - Elsevier
This paper provides a strong-form meshless method for free vibration analysis of curved
panels with variable thickness and variable fiber curvature, such as cylindrical, conical and …

Free vibration analysis of laminated rectangular plates with varying thickness using Legendre-radial point interpolation method

S Kwak, K Kim, S Jon, J Yun, C Pak - Computers & Mathematics with …, 2022 - Elsevier
The purpose of this paper is to investigate the free vibration characteristics of laminated
rectangular plate with varying thickness (LRPVT) using the meshfree strong form method …

Free vibration analysis using dynamic stiffness method and first-order shear deformation theory for a functionally graded material plate

M Mishra, CK Srivastav, S Kumar - Materials Today: Proceedings, 2024 - Elsevier
In the current simulation work, free vibration analysis of the levy-type plates made of
functionally graded material (FGM) has been carried out using first-order shear deformation …