Open AccessSuppression of chaotic motion in a class of piecewise-smooth systems by using sine periodic force
Author(s) -
Linze Wang,
Wanqing Zhao
Publication year - 2005
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.54.4038
Subject(s) - chaotic , sine , vibration , piecewise , nonlinear system , motion (physics) , control theory (sociology) , periodic function , physics , class (philosophy) , computer science , classical mechanics , mathematical analysis , mathematics , acoustics , geometry , artificial intelligence , control (management) , quantum mechanics
This paper studies how to suppress the abnormal vibration in a dynamic system wi th clearance. The abnormal vibration contains the bifurcations or chaotic motio n due to the change of some parameters of the nonlinear system. This paper prop oses a method to suppress chaotic motion by applying an external periodical for ce to the system. The periodical force is adjusted according to some real-time a lgorism related to an error between real-time states and the states when the sy stem is stable. This method has been applied to a two-degree-freedom impact vibration system. With numerical simulation, the effectiveness of the method is demonstrated.