Study on Bifurcation of a Strongly Nonlinear Torsional Vibration System with Backlash

SHI Peiming HAN Dongying JIANG Jinshui ZHU Zhanlong Chen Hao

Journal of Vibration and Shock ›› 2012, Vol. 31 ›› Issue (21) : 62-67.

PDF(1466 KB)
PDF(1466 KB)
Journal of Vibration and Shock ›› 2012, Vol. 31 ›› Issue (21) : 62-67.
论文

Study on Bifurcation of a Strongly Nonlinear Torsional Vibration System with Backlash

  • SHI Peiming1 HAN Dongying 2 JIANG Jinshui1 ZHU Zhanlong1 Chen Hao1
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Abstract

The dynamic equation of a rotating machinery strongly nonlinear system with backlash is established. The method of Modified Lindstedt-Poincare is employed to obtain the analytical solutions of the strongly nonlinear system under harmonic excitation. The bifurcation equation of the system is deduced by the modified Lindstedt-Poincare combined with the multiple scales. The characteristics of bifurcation of nonautonomy system are analyzed by means of singularity theory, respectively, and different topological structure of solution is obtained under different parameters. At last, the numerical simulation exhibits many different motions such as periodic motion, period-doubling motion and chaos, which describes the change of the strongly nonlinear parameter influences motion state of the system. The research results provide theory basis and reference for analyzing torsional vibration of rotating machinery caused by backlash.

Key words

Torsional vibration system / Strongly nonlinear / Backlash / Bifurcation / Chaos

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SHI Peiming HAN Dongying JIANG Jinshui ZHU Zhanlong Chen Hao . Study on Bifurcation of a Strongly Nonlinear Torsional Vibration System with Backlash[J]. Journal of Vibration and Shock, 2012, 31(21): 62-67
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