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Study on nonlinear dynamic characteristics of a two-speed transmission system at low speed

Author

Listed:
  • Liu Zhihui
  • Jiahao Zhang
  • Zhijian Zhang
  • Yingzhi Gu
  • Xue Wen
  • Kejun Zhu

Abstract

A pure shear mechanical model of low gear of six-degree-of-freedom two-speed transmission system is established by using lumped parameter method. The Runge-Kutta method is used to numerically solve the aforementioned nonlinear system. The variation of transmission error between gears is analyzed by using global bifurcation, time domain diagram, phase diagram and Poincare cross section. Moreover, the transfer error bifurcation characteristics of the solar wheel and the first planetary wheel under different gear moduli are investigated. The results show that: by taking the excitation frequency as the control parameter, the system includes period-1 motion, period-2 motion, quasi-periodic motion, multiperiodic motion, and chaotic motion. With the increase of gear modulus, the system mainly presents chaotic motion in the medium frequency range (0.5

Suggested Citation

  • Liu Zhihui & Jiahao Zhang & Zhijian Zhang & Yingzhi Gu & Xue Wen & Kejun Zhu, 2024. "Study on nonlinear dynamic characteristics of a two-speed transmission system at low speed," PLOS ONE, Public Library of Science, vol. 19(2), pages 1-18, February.
    • Handle: RePEc:plo:pone00:0298395
    DOI: 10.1371/journal.pone.0298395
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