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author:

Bian, Shi-Yuan (Bian, Shi-Yuan.) [1] | Wang, Jian (Wang, Jian.) [2] | Yao, Li-Gang (Yao, Li-Gang.) [3] (Scholars:姚立纲) | Zhang, Jun (Zhang, Jun.) [4] (Scholars:张俊)

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EI

Abstract:

In order to reveal the dynamic behaviors of a planetary gear train under a real working environment, a pure torsional nonlinear dynamic model was established by considering gear backlashes, time-varying meshing stiffness, transmission errors, and sliding frictions between gear pairs. The differential equations of motion of the transmission system were derived by Newton’s second law and then solved by Runge–Kutta method. The nonlinear dynamic characteristics of the planetary gear train were classified into quasi-periodic response and chaos response based on the numerical simulations of time history plots, phase plane plots, Poincare maps, and Fourier spectra diagrams. The results indicate that the sliding friction brings complicated nonlinear effects into the planetary gear train dynamics. With the increment of the friction coefficient, friction forces between gear pairs cause more power loss, which makes the sys-tem’s response become more regular. As a result, the planetary gear system experiences a chaos response and a quasi-periodic response sequentially. © 2017 Taylor & Francis Group, London.

Keyword:

Electric power transmission Epicyclic gears Equations of motion Friction Power transmission Runge Kutta methods

Community:

  • [ 1 ] [Bian, Shi-Yuan]School of Mechanical Engineering, Anhui University of Technology, Ma’anshan; Anhui, China
  • [ 2 ] [Wang, Jian]School of Mechanical Engineering, Anhui University of Technology, Ma’anshan; Anhui, China
  • [ 3 ] [Yao, Li-Gang]School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou; Fujian, China
  • [ 4 ] [Zhang, Jun]School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou; Fujian, China

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Year: 2016

Issue: 191039

Volume: 0

Page: 693-698

Language: English

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ESI Highly Cited Papers on the List: 0 Unfold All

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30 Days PV: 1

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