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�ǹ⻬����ϵͳ���Lyapunovָ���ļ��㷽��
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Method for estimating largest Lyapunov exponent in non-smooth multibody systems
Fu Li, Wang Qi*
School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

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�ؼ����� �ǹ⻬   ����ϵͳ   ���Ի�������   ����ͬ��   Lyapunovָ��     
Abstract�� According to the theories of both non-smooth mechanics and non-linear dynamics, a numerical method for estimating the largest Lyapunov exponent in non-smooth multi-body systems with unilateral constraints was presented. Lagrange equation of the first kind was applied to derive the structure-varying dynamic equations of the systems and the scheme for linear complementarity problem(LCP) was used to detect non-smooth events, such as stick-slip transition, detachment,collision andsoon.Chaos synchronization method was applied to estimate the largest Lyapunov exponent. The algorithm of bisection and the algorithm of coupling parameter modulation were used to increase the speed of calculation.The numerical results obtained from two examples indicate that the method is effective.
Keywords�� non-smooth   multibody system   linear complementarity problem   chaos synchronization   Lyapunov exponent     
Received 2009-11-26;
Fund:

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About author: �� ��(1965-),��,������,������,tshfl@sohu.com.
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����, ����.�ǹ⻬����ϵͳ���Lyapunovָ���ļ��㷽��[J]  �������պ����ѧѧ��, 2011,V37(1): 45-48
Fu Li, Wang Qi.Method for estimating largest Lyapunov exponent in non-smooth multibody systems[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2011,V37(1): 45-48
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