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

42 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

Access to Document

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

Cite this

@article{3138dfa67d414e72a3ffab47d61db840,

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

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.",

author = "Issam Abu-Mahfouz and F. Badrakhan",

year = "1990",

month = dec,

day = "8",

doi = "10.1016/0022-460X(90)90954-X",

language = "English (US)",

volume = "143",

pages = "255--288",

journal = "Journal of Sound and Vibration",

issn = "0022-460X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - Chaotic behaviour of some piecewise-linear systems part I

T2 - Systems with set-up spring or with unsymmetric elasticity

AU - Abu-Mahfouz, Issam

AU - Badrakhan, F.

PY - 1990/12/8

Y1 - 1990/12/8

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=38249017901&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38249017901&partnerID=8YFLogxK

U2 - 10.1016/0022-460X(90)90954-X

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

M3 - Article

AN - SCOPUS:38249017901

SN - 0022-460X

VL - 143

SP - 255

EP - 288

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

IS - 2

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this