Multiple buckled states of rectangular plates

Bernard J. Matkowsky*, Leonard J. Putnick

*Corresponding author for this work

Research output: Contribution to journalArticle

17 Scopus citations

Abstract

We consider the buckling of a simply supported plate subjected to a constant edge thrust λ. The aspect ratio l is such that the critical thrust (the first bifurcation point of the associated non-linear eigenvalue problem) is of multiplicity two. A study of the non-linear static problem indicates that there are nine possible equilibrium states. One of these corresponds to the unbuckled state while the remaining eight represent buckled states. A linear stability analysis and a calculation of the potential energy of each of the static solutions indicates that four of the solutions are stable and five are unstable.

Original languageEnglish (US)
Pages (from-to)89-103
Number of pages15
JournalInternational Journal of Non-Linear Mechanics
Volume9
Issue number2
DOIs
StatePublished - Jan 1 1974

ASJC Scopus subject areas

  • Mechanical Engineering
  • Statistical and Nonlinear Physics

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