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ZHANG Shu-hua, YAO Hui-ming, ZHANG Quan-yu, DU Wen-yan. STUDY ON LYAPUNOV EXPONENTIAL SPECTRUM AND NONLINEAR CHARACTERISTICS OF AN IMPACT DAMPER[J]. Engineering Mechanics, 2008, 25(10): 99-102.
Citation: ZHANG Shu-hua, YAO Hui-ming, ZHANG Quan-yu, DU Wen-yan. STUDY ON LYAPUNOV EXPONENTIAL SPECTRUM AND NONLINEAR CHARACTERISTICS OF AN IMPACT DAMPER[J]. Engineering Mechanics, 2008, 25(10): 99-102.
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STUDY ON LYAPUNOV EXPONENTIAL SPECTRUM AND NONLINEAR CHARACTERISTICS OF AN IMPACT DAMPER

  • (1. Department of Automobile Engineering, Chengde College of Petroleum, Chengde 067000, China; 2. College of Urban Railway Transportation, Shanghai University of Engineering Science, Shanghai 200000, China)

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  • Received Date: December 31, 1899
  • Revised Date: December 31, 1899
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    • Abstract
  • The calculation of a Lyapunov exponential spectrum on an impact damper vibration system is discussed by introducing Poincaré mapping in the rigid constraint section and by transforming the continual dynamic system to the discrete counterpart. The global parameters-varying rules of the Lyapunov exponential spectrum on this system are analyzed by numerical simulations. Comparing the Lyapunov exponential spectrum diagram with the global bifurcation diagram, validity and feasibility of this method of analyzing system stabilities using the Lyapunov exponential spectrum diagrams are verified. Some nonlinear characteristics under relevant parameters of the impact damper are also given in the paper.
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