Nonlinear vibration of circular corrugated plates
type: Item
instance of: scholarly article
title: Nonlinear vibration of circular corrugated plates
zbMATH Open document ID: 0618.73071
DOI: 10.1007/BF02018549
author: Xiaofang Hu
author: Xin-Zhi Wang
author: Lin-Xiang Wang
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1987-01-01T00:00:00Z
review text: Using Hamilton's principle, we derive the variational equations for circular corrugated plates. Taking the central maximum amplitude of circular corrugated plates as the perturbation parameter and adopting the perturbation variational method, in the first-order approximation, we obtain the natural frequencies of linear vibrations of circular corrugated plates and then, the nonlinear natural frequencies of the corrugated plates. By comparing with the linear results, the attempt of this paper is proved feasible.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 4003656
zbMATH Keywords: Hamilton's principle
zbMATH Keywords: circular corrugated plates
zbMATH Keywords: central maximum amplitude
zbMATH Keywords: perturbation variational method
zbMATH Keywords: first-order approximation
zbMATH Keywords: natural frequencies of linear vibrations
zbMATH Keywords: nonlinear natural frequencies
MaRDI profile type: Publication
cites work: Elastic behavior of uniformly loaded circular corrugated plate with sine- shaped shallow waves in large deflection
cites work: The perturbation finite element method for solving problems with nonlinear materials
cites work: A perturbation solution of nonlinear vibration of rectangular orthotropic plates
description: scientific article; zbMATH DE number 4003656