Study on non-linear dynamics of gear transmission system with clearance
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国家自然科学基金资助项目(12345678)、国家重点基础研究发展计划(973)资助项目(9876543)

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    Abstract:

    As the gear transmission system with clearance responses in a way of abundant nonlinear dynamics, this paper establishes a dynamic model of twodegreeoffreedom gear transmission system. Firstly, the bifurcation of the gear transmission system and the chaotic dynamic behavior using the numerical method is investigated, and the nonsmooth function is then fitted with the smooth function. Moreover, nonlinear dynamic phenomenon of gear transmission system with fitted clearance function is achieved using multiscale perturbation. Eventually, the results are compared with that of nonsmooth system without numerical fitting, which also provides essential data for the future research of gear transmission system with a clearance.

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History
  • Received:January 22,2015
  • Revised:February 16,2015
  • Adopted:
  • Online: April 11,2016
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