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Type: Journal article
Title: Periodic and chaotic motions of a harmonically forced piecewise linear system
Author: Ji, Jin-Chen
Leung, A. Y. T.
Citation: International Journal of Mechanical Sciences, 2004; 46 (12):1807-1825
Publisher: Pergamon-Elsevier Science Ltd
Issue Date: 2004
ISSN: 0020-7403
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.
Keywords: Periodic motions; Chaotic motions; Piecewise linear system; Dead zone; Saturation
DOI: 10.1016/j.ijmecsci.2004.10.005
Appears in Collections:Mechanical Engineering publications

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