Dynamic response analysis for non-smooth gear rattling system

Jianjun Yang, Xiaozhong Deng, Bingyang Wei, Zongde Fang

Research output: Contribution to journalArticlepeer-review

Abstract

Due to the non-smooth characteristics in the gear rattling system, a method of local map was introduced. Based on Poincare maps on impact plane, a method to calculate the Lyapunov exponents of gear rattling system was constructed. A numerical example of spur gear rattling system was given by the proposed method. Phase portraits and Lyapunov exponents were used to describe the dynamic response of the Non-smooth gear rattling system. With the increasing of exciting amplitude, the complete dynamic response was obtained. The bifurcation diagram and the spectrum of Lyapunov exponents in a large range of parameters were used to verify the method given herein.

Original languageEnglish
Pages (from-to)2860-2862+2883
JournalZhongguo Jixie Gongcheng/China Mechanical Engineering
Volume19
Issue number23
StatePublished - 10 Dec 2008

Keywords

  • Gear
  • Lyapunov exponent
  • Non-smooth system
  • Rattling

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