Stability and chaotic motion in columns of nonlinear viscoelastic material
type: Item
instance of: scholarly article
title: Stability and chaotic motion in columns of nonlinear viscoelastic material
zbMATH Open document ID: 1007.74051
DOI: 10.1007/BF02459307
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2003-03-27T00:00:00Z
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74H65
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74D10
zbMATH DE Number: 1570521
zbMATH Keywords: dynamical stability
zbMATH Keywords: homogeneous simple supported column
zbMATH Keywords: periodic axial force
zbMATH Keywords: viscoelastic material
zbMATH Keywords: Leaderman nonlinear constitutive relation
zbMATH Keywords: nonlinear integro-partial differential equation
zbMATH Keywords: Galerkin method
zbMATH Keywords: nonlinear integro-ordinary differential equation
zbMATH Keywords: averaging method
zbMATH Keywords: chaotic motion
author: Li-Qun Chen
author: Changjun Cheng
MaRDI profile type: Publication
cites work: The stability of viscoelastic perfect columns: A dynamic approach
cites work: Stability Properties of a Viscoelastic Column Under a Periodic Force
cites work: Elastica type dynamic stability analysis of viscoelastic columns
cites work: A comparison of single-integral non-linear viscoelasticity theories
cites work: Averaging methods in nonlinear dynamical systems
cites work: Dynamic stability of nonlinear viscoelastic plates
cites work: Periodic and chaotic behavior of viscoelastic nonlinear (elastica) bars under harmonic excitations
cites work: Influence of large deflections on the dynamic stability of nonlinear viscoelastic plates
full work available at URL: https://doi.org/10.1007/bf02459307
OpenAlex ID: W2090840763
description: scientific article; zbMATH DE number 1570521