The Rayleigh–Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: A literature review

Y Kumar - Journal of Vibration and Control, 2018 - journals.sagepub.com
The Rayleigh–Ritz method is a classical method that has been widely used to investigate
dynamic, static and buckling behavior, ie, the natural frequencies, mode shapes, moments …

Nonlinear vibration analysis of fiber metal laminated plates with multiple viscoelastic layers

H Li, Z Li, B Safaei, W Rong, W Wang, Z Qin… - Thin-Walled Structures, 2021 - Elsevier
To accurately predict the vibration behaviors of multiple viscoelastic-layered fiber metal
laminated plates (MVFMLPs) under different external excitation levels, an analytical model …

An efficient three-dimensional dynamic stiffness-based model for predicting subway train-induced building vibrations

Y Ren, S Qu, J Yang, Q Li, B Zhu, W Zhai… - Journal of Building …, 2023 - Elsevier
The prediction of train-induced vibration in buildings constructed above the subway is a
challenging problem due to its sophisticated system and time-consuming calculation. This …

Free vibration analysis for plates with arbitrary boundary conditions using a novel spectral-dynamic stiffness method

X Liu, JR Banerjee - Computers & Structures, 2016 - Elsevier
An exact method for free vibration analysis of plates with arbitrary boundary conditions is
presented. This is achieved by integrating the spectral method into the classical dynamic …

A unified formulation for free vibration of laminated plate through Jacobi-Ritz method

B Qin, R Zhong, Q Wu, T Wang, Q Wang - Thin-Walled Structures, 2019 - Elsevier
In this research, an analytical Jacobi-Ritz method for the free vibration analysis of composite
laminated rectangular plate subject to arbitrary boundary conditions is proposed. The …

On the application of the Ritz method to free vibration and buckling analysis of highly anisotropic plates

R Vescovini, L Dozio, M d'Ottavio, O Polit - Composite Structures, 2018 - Elsevier
In this paper insights are provided into the implementation and use of the Ritz method for
free vibration and buckling analysis of composite plates. Focus is given on the choice of the …

An exact spectral-dynamic stiffness method for free flexural vibration analysis of orthotropic composite plate assemblies–Part I: Theory

X Liu, JR Banerjee - Composite Structures, 2015 - Elsevier
A spectral-dynamic stiffness method (S-DSM) for exact free vibration analysis of general
orthotropic composite plate-like structures is presented in the paper. The method combines …

Spectral realization of the method of matched sections for thin-plate vibration

I Orynyak, A Tsybulnyk, K Danylenko - Archive of Applied Mechanics, 2025 - Springer
The paper further develops the method of matched sections as a new universal numerical
technique. Like the finite element method, FEM, it supposes that: a) the domain is …

Free vibration of functionally graded thin rectangular plates resting on Winkler elastic foundation with general boundary conditions using Rayleigh–Ritz method

S Chakraverty, KK Pradhan - International Journal of Applied …, 2014 - World Scientific
In this paper, free vibration of functionally graded (FG) rectangular plates subject to different
sets of boundary conditions within the framework of classical plate theory is investigated …

Dynamic behavior and power flow analyses of a cylindrical shell structure embedded with acoustic black holes

D Zheng, J Du, Y Liu, W Zhao - Applied Acoustics, 2023 - Elsevier
Vibrational energy flow model of ABH cylindrical shells with arbitrary profile and general
boundary conditions is established using Rayleigh-Ritz method in conjunction with …