Natural vibration analysis of symmetrical cross-ply laminated plates using a mixed variational formulation
type: Item
instance of: scholarly article
title: Natural vibration analysis of symmetrical cross-ply laminated plates using a mixed variational formulation
zbMATH Open document ID: 0972.74035
DOI: 10.1016/S0997-7538(00)00169-8
author: Ashraf M. Zenkour
published in: European Journal of Mechanics. A. Solids
publication date: 2001-11-13T00:00:00Z
review text: The author applies to composite structures a generalization of mixed variational formulation based upon Hamilton's principle. Namely, this generalized formulation is used to obtain the governing equations of laminated plates. A refined higher-order plate theory, which satisfies transverse stress free boundary conditions on the top and bottom surfaces of the plate, is established by suppressing the in-plane displacement degree of freedom. The author analyzes the free vibration problem for rectangular cross-ply plates under a variety of boundary conditions, and compares the results with the results in the existing literature.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 1488299
zbMATH Keywords: generalized mixed variational formulation
zbMATH Keywords: natural frequencies
zbMATH Keywords: Hamilton's principle
zbMATH Keywords: refined higher-order plate theory
zbMATH Keywords: transverse stress free boundary conditions
zbMATH Keywords: free vibration
zbMATH Keywords: rectangular cross-ply plates
reviewed by: Girish Kumar Ramaiah
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1488299