Periodic and chaotic motions of a harmonically forced piecewise linear system

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

  • J. C. Ji
  • A. Y T Leung

Detail(s)

Original languageEnglish
Pages (from-to)1807-1825
Journal / PublicationInternational Journal of Mechanical Sciences
Volume46
Issue number12
Publication statusPublished - Dec 2004

Abstract

The dynamics of a harmonically excited single degree-of-freedom linear system with a feedback control, in which the actuator is subjected to dead zone and saturation constraints, is investigated in detail. The controlled system is mathematically modeled by a set of three piecewise linear equations. It is found that the system may exhibit nine types of symmetric and asymmetric period-one motions, which are characterized by a different number of crossing dead zone and saturation region per cycle. A solution for the symmetric period-one motion with a doubly crossing dead zone and saturation region is analytically constructed and its stability characteristics is examined. Other types of dynamic response such as sub-harmonic periodic motions and chaotic motions, found through numerical simulations, are also presented. © 2004 Elsevier Ltd. All rights reserved.

Research Area(s)

  • Chaotic motions, Dead zone, Periodic motions, Piecewise linear system, Saturation

Citation Format(s)

Periodic and chaotic motions of a harmonically forced piecewise linear system. / Ji, J. C.; Leung, A. Y T.

In: International Journal of Mechanical Sciences, Vol. 46, No. 12, 12.2004, p. 1807-1825.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review