Thermomechanically coupled nonlinear vibration of plates
type: Item
instance of: scholarly article
title: Thermomechanically coupled nonlinear vibration of plates
zbMATH Open document ID: 0601.73118
DOI: 10.1016/0020-7462(86)90021-1
author: B. George
published in: International Journal of Non-Linear Mechanics
publication date: 1986-01-01T00:00:00Z
review text: An analytical method is presented for the analysis of large amplitude thermomechanically coupled vibrations of rectangular elastic thin plates with various boundary conditions. The field of temperature and deformation are assumed to be coupled, and the trasverse and longitudinal deformations are mutually dependent. The fundamental equations of nonlinear flexural vibration of a plate stemming from Berger's analysis are coupled with the energy equation. Based on one-term approximate solution technique, the system of nonlinear equations is solved by employing the methods of Galerkin and successive approximations. The analytical solutions are compared with those for the linear case and from the numerical analysis to investigate the influence of thermomechanical coupling and large ampliude on the period of plate lateral vibration.
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 35A35
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 3970274
zbMATH Keywords: Runge-Kutta method
zbMATH Keywords: large amplitude thermomechanically coupled vibrations
zbMATH Keywords: rectangular elastic thin plates
zbMATH Keywords: various boundary conditions
zbMATH Keywords: fundamental equations of nonlinear flexural vibration
zbMATH Keywords: Berger's analysis
zbMATH Keywords: energy equation
zbMATH Keywords: one-term approximate solution technique
zbMATH Keywords: system of nonlinear equations
zbMATH Keywords: methods of Galerkin
zbMATH Keywords: successive approximations
MaRDI profile type: Publication
full work available at URL: 0020-7462(86)90021-1
OpenAlex ID: W1980098179
description: scientific article; zbMATH DE number 3970274