Study on Bifurcation of a Strongly Nonlinear Torsional Vibration System with Backlash
SHI Peiming1 HAN Dongying 2 JIANG Jinshui1 ZHU Zhanlong1 Chen Hao1
1. Institute of Electrical Engineering Yanshan University, Qinhuangdao 066004;2. College of Vehicles and Energy Yanshan University Yanshan University, Qinhuangdao 066004
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.
时培明 韩东颖 蒋金水 朱占龙 陈浩. 含间隙强非线性扭振系统的分岔行为研究[J]. , 2012, 31(21): 62-67.
SHI Peiming HAN Dongying JIANG Jinshui ZHU Zhanlong Chen Hao . Study on Bifurcation of a Strongly Nonlinear Torsional Vibration System with Backlash. , 2012, 31(21): 62-67.
2012, Vol. 31 
