Periodic and chaotic motions of a harmonically forced piecewise linear system

J. C. Ji; A. Y T Leung

doi:10.1016/j.ijmecsci.2004.10.005

Author(s)

J. C. Ji
A. Y T Leung

Detail(s)

Original language	English
Pages (from-to)	1807-1825
Journal / Publication	International Journal of Mechanical Sciences
Volume	46
Issue number	12
Publication status	Published - Dec 2004

Link(s)

DOI	DOI https://doi.org/10.1016/j.ijmecsci.2004.10.005 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-12344276555&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(352c1640-2efc-4424-8528-74a1cc2047ab).html

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)

[ RIS ] [ BibTeX ]

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 journal › peer-review

Ji, JC & Leung, AYT 2004, 'Periodic and chaotic motions of a harmonically forced piecewise linear system', International Journal of Mechanical Sciences, vol. 46, no. 12, pp. 1807-1825. https://doi.org/10.1016/j.ijmecsci.2004.10.005

Ji, J. C., & Leung, A. Y. T. (2004). Periodic and chaotic motions of a harmonically forced piecewise linear system. International Journal of Mechanical Sciences, 46(12), 1807-1825. https://doi.org/10.1016/j.ijmecsci.2004.10.005

Ji JC, Leung AYT. Periodic and chaotic motions of a harmonically forced piecewise linear system. International Journal of Mechanical Sciences. 2004 Dec;46(12):1807-1825. doi: 10.1016/j.ijmecsci.2004.10.005

Ji, J. C. ; Leung, A. Y T. / Periodic and chaotic motions of a harmonically forced piecewise linear system. In: International Journal of Mechanical Sciences. 2004 ; Vol. 46, No. 12. pp. 1807-1825.