Dynamic instability of a non-uniform beam modeled in a two-degree-of-freedom system

David Levanony, Menahem Baruch

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The behaviour of a non-uniform beam loaded by a parallel or tangential compressive force respectively is analyzed by exploiting a two-degree-of-freedom dynamic model. The same system has been analyzed previously by Lee and Reissner from a static point of view and by Neer and Baruch by a dynamic approach using a one-degree-of-freedom model. The previous analyses revealed only part of the phenomena by the present approach. Here, for the tangential force a classical flutter instability is obtained and for the parallel force only static instability is possible.

Original languageEnglish
Pages (from-to)874-882
Number of pages9
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume38
Issue number6
DOIs
StatePublished - 1 Nov 1987
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (all)
  • Physics and Astronomy (all)
  • Applied Mathematics

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