Nonlinear flexural vibration of rectangular moderately thick plates and sandwich plates
type: Item
instance of: scholarly article
title: Nonlinear flexural vibration of rectangular moderately thick plates and sandwich plates
zbMATH Open document ID: 0807.73034
DOI: 10.1016/0020-7403(93)90041-R
author: Xiuxi Wang
author: Maokuang Huang
author: Zhen-Qiang Cheng
published in: International Journal of Mechanical Sciences
publication date: 1995-03-09T00:00:00Z
review text: The authors have investigated the title problem under various boundary conditions. Fundamental equations describing the moments, transverse forces, and the compatibility condition on the in-plane displacements of the mid plane have been obtained for a rectangular Reissner sandwich plate. Boundary conditions for different edges of the plate have been given, and the boundary value problem has been solved by using the method of harmonic balance with the help of VAX8700 digital computer. The authors have thus developed a new technique using mixed Fourier series. Solutions are convincing when compared with the results available in the existing literature. Finally, numerical results have been obtained and presented graphically. A list of references has been appended indicating the acquaintance of the authors with the concerned literature. The paper and its presentation are good; the work can be useful for those working in the field of solid mechanics, in general, and on elastic vibrations, in particular.
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 516557
zbMATH Keywords: Mindlin plate
zbMATH Keywords: Kirchhoff plate
zbMATH Keywords: Galerkin method
zbMATH Keywords: stress functions
zbMATH Keywords: Reissner plate
zbMATH Keywords: VAX8700 computer
zbMATH Keywords: compatibility condition
zbMATH Keywords: method of harmonic balance
zbMATH Keywords: mixed Fourier series
MaRDI profile type: Publication
full work available at URL: 0020-7403(93)90041-r
OpenAlex ID: W2027995703
description: scientific article; zbMATH DE number 516557