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https://hdl.handle.net/2440/2778
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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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