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Estimating the Largest Lyapunov Exponent in a Multibody System with Dry Friction by using Chaos Synchronization

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Abstract

Using the properties of chaos synchronization, the method for estimating the largest Lyapunov exponent in a multibody system with dry friction is presented in this paper. The Lagrange equations with multipliers of the systems are given in matrix form, which is adequate for numerical calculation. The approach for calculating the generalized velocity and acceleration of the slider is given to determine slipping or sticking of the slider in the systems. For slip–slip and stick–slip multibody systems, their largest Lyapunov exponents are calculated to characterize their dynamics.

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Authors and Affiliations

  1. School of Science, Beijing University of Aeronautics and Astronautics, Beijing, 100083, China

    Shihui Fu & Qi Wang

Authors
  1. Shihui Fu
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  2. Qi Wang
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Correspondence to Shihui Fu.

Additional information

The project supported by the National Natural Science Foundation of China (10272008 and 10371030) The English text was polished by Yunming Chen

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Fu, S., Wang, Q. Estimating the Largest Lyapunov Exponent in a Multibody System with Dry Friction by using Chaos Synchronization. Acta Mech Mech Sinica 22, 277–283 (2006). https://doi.org/10.1007/s10409-006-0004-y

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  • DOI: https://doi.org/10.1007/s10409-006-0004-y

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