Periodic and chaotic motions of a harmonically forced piecewise linear system
Author(s)
Author(s)
Ji, J. C.
Date Issued
2004
Publisher
Elsevier
Journal
International Journal of Mechanical Sciences
Volume
46
Issue
12
Start page
1807
End page
1825
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.
SFU Affiliated Publication
No
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