Theoretical analyses and numerical simulation of flexural vibration based on Reddy and modified higher-order plate theories for a transversely isotropic circular plate
Journal
Acta Mechanica
Date Issued
2021
Author(s)
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. ? 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature.
Subjects
Boundary conditions; Equations of motion; Natural frequencies; Vibration analysis; Clamped circular plates; Flexural vibrations; Free-vibration analysis; Higher-order plate theory; Higher-order shear deformation plate theory; Natural frequencies and modes; Reddy plate theories; Transversely isotropic; Mindlin plates
Type
journal article