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Acta Mechanica
Erschienen in: Acta Mechanica 7/2021

03.05.2021 | Original Paper

Theoretical analyses and numerical simulation of flexural vibration based on Reddy and modified higher-order plate theories for a transversely isotropic circular plate

verfasst von: Ming Ji, Yi-Chuang Wu, Chien-Ching Ma

Erschienen in: Acta Mechanica | Ausgabe 7/2021

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Abstract

This paper is concerned with free vibration analyses of a circular transversely isotropic elastic plate based on Reddy plate theory and modified higher-order shear deformation plate theory (MHSDT). Hamilton’s principle is used to derive the equations of motion and boundary conditions of the circular plate. Natural frequencies are determined from the solution of the governing equations and boundary conditions along the circular edge. Comparisons of natural frequencies and mode shapes arising from the Mindlin plate theory, the Reddy plate theory, MHSDT, and finite element method are made for fully free and clamped circular plates. The comparison results show that MHSDT has better accuracy than the other analytical plate theories in terms of the natural frequencies and corresponding mode shapes.
Vorheriger Artikel Closed-form solutions for modelling the rotational stiffness of continuous and discontinuous compliant interfaces in two-layer Timoshenko beams
Nächster Artikel Stress fields for a three-phase spherical inclusion problem
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Metadaten
Titel
Theoretical analyses and numerical simulation of flexural vibration based on Reddy and modified higher-order plate theories for a transversely isotropic circular plate
verfasst von
Ming Ji
Yi-Chuang Wu
Chien-Ching Ma
Publikationsdatum
03.05.2021
Verlag
Springer Vienna
Erschienen in
Acta Mechanica / Ausgabe 7/2021
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-021-02973-y

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