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Global behavior of gear system using mixed cell mapping

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Abstract

In some mechanical nonlinear systems, the transient motion will be undergoing a very long process and the attractor-basin boundaries are so complicated that some difficulties occur in analyzing the system global behavior. To solve this problem a mixed cell mapping method based on the point mapping and the principle of simple celll mapping is developed. The algorithm of the mixed cell mapping is studied. A dynamic model of a gear pair is established with the backlash, damping, transmission error and the time-varying stiffness taken into consideration. The global behaviors of this system are analyzed. The coexistence of the system attractors and the respective attractor-basin of each attractor with different parameters are obtained, thus laying a theoretical basis for improvement of the dynamic behaviors of gear system.

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Authors and Affiliations

  1. Northwestern Polytechnical University, 710072, Xi’an, China

    Shen Yunwen, Mengjun Liu & Haijun Dong

Authors
  1. Shen Yunwen
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  2. Mengjun Liu
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  3. Haijun Dong
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Correspondence to Shen Yunwen.

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Shen, Y., Liu, M. & Dong, H. Global behavior of gear system using mixed cell mapping. SCI CHINA SER G 47 (Suppl 1), 113–119 (2004). https://doi.org/10.1360/03yb0243

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  • DOI: https://doi.org/10.1360/03yb0243

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