A refined two-dimensional theory of anisotropic plates
type: Item
instance of: scholarly article
title: A refined two-dimensional theory of anisotropic plates
zbMATH Open document ID: 0828.73038
DOI: 10.1016/0093-6413(93)90045-P
author: M. E. Fares
published in: Mechanics Research Communications
publication date: 1996-01-04T00:00:00Z
review text: The theory includes the effects of transverse normal strain and transverse shear deformation. Hamilton's mixed variational principle is used to derive the basis equation of motion of an anisotropic plate subjected to a surface traction field. The in-plane displacements are expanded as linear functions of the thickness coordinate, only the transverse deflection is quadratic. Specially the influence of the transverse normal strains on frequencies is studied. Numerical results for an anisotropic square plate (thickness \(h\), length \(a\)) show that classical and shear deformation theories overestimate the frequencies. The errors increase with increasing wave numbers \(m,n\). This effect is less significant when \(h/a \leq 1\) and \((m,n) \leq 3\).
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 474575
zbMATH Keywords: normal frequencies
zbMATH Keywords: transverse normal strain
zbMATH Keywords: transverse shear deformation
zbMATH Keywords: Hamilton's mixed variational principle
zbMATH Keywords: surface traction
zbMATH Keywords: square plate
reviewed by: Walter Schnell
MaRDI profile type: Publication
full work available at URL: 0093-6413(93)90045-p
OpenAlex ID: W2003586928
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description: scientific article; zbMATH DE number 474575