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

Issam Abu-Mahfouz; F. Badrakhan

doi:10.1016/0022-460X(90)90954-X

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

Issam Abu-Mahfouz, F. Badrakhan

School of Science, Engineering & Technology (Harrisburg)

Research output: Contribution to journal › Article › peer-review

44 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 language	English (US)
Pages (from-to)	255-288
Number of pages	34
Journal	Journal of Sound and Vibration
Volume	143
Issue number	2
DOIs	https://doi.org/10.1016/0022-460X(90)90954-X
State	Published - Dec 8 1990

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanics of Materials
Acoustics and Ultrasonics
Mechanical Engineering

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10.1016/0022-460X(90)90954-X

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

Abstract

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