Chaotic behaviour of some piecewise-linear systems part I: Systems with set-up spring or with unsymmetric elasticity

Issam Abu-Mahfouz, F. Badrakhan

Research output: Contribution to journalArticle

40 Scopus citations

Abstract

In this first of two papers devoted to the detection of chaos in some piecewise-linear systems, viscously damped, under harmonic forcing, some generalities about chaos and about the computation procedure are given. A system with a set-up spring and three unsymmetrically elastic systems are studied. It is shown that all these systems can have subharmonic motions of various orders and they can have chaotic behaviours for certain combinations of parameters.

Original languageEnglish (US)
Pages (from-to)255-288
Number of pages34
JournalJournal of Sound and Vibration
Volume143
Issue number2
DOIs
StatePublished - Dec 8 1990

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering

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