Nonlinear vibration of circular sandwich plate under the uniform load
type: Item
instance of: scholarly article
title: Nonlinear vibration of circular sandwich plate under the uniform load
zbMATH Open document ID: 0993.74026
DOI: 10.1007/BF02458523
author: Huijian Li
author: Guo-Jun Du
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2002-09-29T00:00:00Z
review text: The authors derive differential equations which govern axisymmetric large-amplitude free vibrations of circular sandwich plates under static load. Then they formulate a set of nonlinear coupled algebraic and differential eigenvalue equations following the assumed time mode approach. Analytic solutions are presented, and a relation for amplitude, frequency and load for the plates with clamped edge is derived by a modified iteration method. Using these results, the authors investigate the effect of static load on the vibration of plates. The presented method can be applied to annular plates and shells.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 1490128
zbMATH Keywords: characteristic equation
zbMATH Keywords: analytic solutions
zbMATH Keywords: axisymmetric large-amplitude free vibrations
zbMATH Keywords: circular sandwich plates
zbMATH Keywords: static load
zbMATH Keywords: eigenvalue equations
zbMATH Keywords: time mode approach
zbMATH Keywords: amplitude
zbMATH Keywords: clamped edge
zbMATH Keywords: modified iteration method
zbMATH Keywords: frequency
reviewed by: Girish Kumar Ramaiah
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1490128