Stability of Pflüger column with imperfections
type: Item
instance of: scholarly article
title: Stability of Pflüger column with imperfections
zbMATH Open document ID: 0646.73019
DOI: 10.1007/BF00945821
author: Alvin M. Strauss
author: Teodor Atanacković
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1987-01-01T00:00:00Z
review text: This is an interesting paper because the authors show what new results can be obtained from the application of the modern mathematical methods of bifurcation and singularity theory to a classical beam buckling problem. By application of the Ljapunov-Schmidt method and the unfolding theory in the spirit of \textit{M. Golubitsky} and \textit{D. Schaeffer} [e.g.: Singularities and groups in bifurcation theory. I. (1985; Zbl 0607.35004) and Commun. Pure appl. Math. 32, 21-98 (1979; Zbl 0409.58007)] the authors show that the problem concerning its imperfection sensitivity behavior is completely described by a Whitney cusp.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 37G99
Mathematics Subject Classification ID: 58C25
zbMATH DE Number: 4055155
zbMATH Keywords: system of first order equations
zbMATH Keywords: classical beam buckling problem
zbMATH Keywords: Ljapunov-Schmidt method
zbMATH Keywords: unfolding theory
zbMATH Keywords: imperfection sensitivity behavior
zbMATH Keywords: Whitney cusp
reviewed by: Hans Troger
MaRDI profile type: Publication
cites work: Q4085348
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description: scientific article; zbMATH DE number 4055155