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 …

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 …

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 …

Harmonic response analysis of coupled plate structures using the dynamic stiffness method

C Zhang, G Jin, T Ye, Y Zhang - Thin-Walled Structures, 2018 - Elsevier
In this study, the dynamic stiffness method (DSM) is applied to study the free and forced
vibration behaviors of thin, three-dimensionally coupled plate structures. Both the flexural …

Sigmoid functionally graded plates embedded on Winkler-Pasternak foundation: Free vibration analysis by dynamic stiffness method

M Chauhan, S Dwivedi, R Jha, V Ranjan… - Composite …, 2022 - Elsevier
In this present paper, the dynamic stiffness method has been formulated to calculate the
natural frequency of sigmoid functionally graded material (S-FGM) plate embedded on the …

A novel reduced-order dynamic-stiffness formulation for locally resonant metamaterial plates

AF Russillo, G Failla - Composite Structures, 2022 - Elsevier
A novel dynamic-stiffness formulation is presented to study the dynamics of locally resonant
metamaterial plates. Focusing on an assembly of plates coupled by periodic arrays of …

Exponential functionally graded plates resting on Winkler–Pasternak foundation: free vibration analysis by dynamic stiffness method

M Chauhan, S Dwivedi, P Mishra, M Ragulskis… - Archive of Applied …, 2023 - Springer
In this present work, the dynamic stiffness method (DSM) formulation is used to investigate
the natural vibration of an exponential functionally graded plate (E-FGM) within the …

Dynamic stiffness formulation for vibration analysis of an open cylindrical shell and its coupling structures based on a generalized superposition method

Z Li, T Ye, G Jin, T jun Yang, L Tian, Y Chen - Journal of Sound and …, 2022 - Elsevier
This paper presents a dynamic stiffness formulation for free vibration analysis of open
cylindrical shells and their coupling structures. Based on the Flügge's thin shell theory, the …

Dynamic stiffness formulation and free vibration analysis of specially orthotropic Mindlin plates with arbitrary boundary conditions

SO Papkov, JR Banerjee - Journal of Sound and Vibration, 2019 - Elsevier
A novel dynamic stiffness formulation which includes the effects of shear deformation and
rotatory inertia is proposed to carry out the free vibration analysis of thick rectangular …

Effect of porosity inclusions on the natural frequencies of the FGM plates using dynamic stiffness method

S Rai, S Kumar, R Singh, A gupta - International Journal on Interactive …, 2023 - Springer
In the present article, an exact solution has been given to investigate the influence of
porosity inclusion, boundary conditions, and volume fraction index on the vibration response …