Nonlinear dynamic buckling and stability of autonomous structural systems
type: Item
instance of: scholarly article
title: Nonlinear dynamic buckling and stability of autonomous structural systems
zbMATH Open document ID: 0820.73035
DOI: 10.1016/0020-7403(93)90015-M
published in: International Journal of Mechanical Sciences
publication date: 1995-09-17T00:00:00Z
review text: The author suggests a general approach for the investigation of the nonlinear dynamic buckling and stability of dissipative or nondissipative structural systems described by autonomous ordinary differential equations. The stability of such systems, if they are associated with the trivial fundamental paths, is discussed in connection with the nature of Jacobian eigenvalues. The emphasis is placed on systems with reflectional symmetries associated with unstable branching points. The analysed systems are discrete or are discretized by some approximation technique. The approach is demonstrated using two simple structural models with two degrees of freedom.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 37C75
zbMATH DE Number: 474530
zbMATH Keywords: trivial fundamental paths
zbMATH Keywords: Jacobian eigenvalues
zbMATH Keywords: reflectional symmetries
zbMATH Keywords: unstable branching points
author: A. N. Kounadis
MaRDI profile type: Publication
full work available at URL: 0020-7403(93)90015-m
OpenAlex ID: W1976061276
description: scientific article; zbMATH DE number 474530