Free vibration of advanced composite plates using a new higher order shear deformation theory
type: Item
instance of: scholarly article
title: Free vibration of advanced composite plates using a new higher order shear deformation theory
zbMATH Open document ID: 1496.74066
author: Yanyan Li
published in: European Journal of Mechanics. A. Solids
publication date: 2021-06-24T00:00:00Z
review text: This paper presents a new Higher Order Shear Deformation Theory (HSDT) for free vibration analysis of simply-supported Functionally Graded Material (FGM) plates. One novelty of this paper is the use of two transverse shear strain functions in which the classical trigonometric and parabolic shear strain shape functions are reformulated with a very small exponential perturbation. The present transverse shear strain functions give a more accurate distribution of the transverse shear stress in the thickness direction without using any transverse shear correction factors. Another novelty of this study is the use of the integral format of the displacement field, which is developed to reduce the differential operations and probability of errors during the derivation of equations. The equations of motion are derived based on Hamilton's principle and Navier's procedure. The non-dimensional fundamental frequencies of FGM plates are obtained by solving an eigenvalue problem. The accuracy of the proposed HSDT is verified by comparing the obtained numerical results with other results in the existing literature. Extensive numerical results are presented for different cases both in tabular form and graphical form. These results can be directly used by design engineers. However, there is a need to verify the data by carefully conducting experiments.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 7362900
zbMATH Keywords: functionally graded material
zbMATH Keywords: natural frequency
zbMATH Keywords: eigen-value problem
zbMATH Keywords: transverse shear strain function
zbMATH Keywords: Hamilton's principle
reviewed by: Girish Kumar Ramaiah
describes a project that uses: MUL2
MaRDI profile type: Publication
full work available at URL: j.euromechsol.2021.104236
OpenAlex ID: W3130408443
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DOI: 10.1016/J.EUROMECHSOL.2021.104236
description: scientific article; zbMATH DE number 7362900