Nonlinear study on coupled flexural and torsional vibrations of a cracked rotor
He Cheng-bing, Gu Yu-jiong, Song Guang-xiong
Key Lab of Condition Monitoring and Control for Power Plant Equipment Ministry of Education(North China Electric Power University), Changping District, Beijing 102206, China
Abstract：A Jeffcott cracked rotor with nonlinear influences of whirl speed was investigated. Three kinds of nonlinear dynamical models that were pure flexural vibration, coupled flexural and torsional vibrations supported on rigidity and coupled flexural and torsional vibrations supported on bearings were established separately. And the behaviors of bifurcation and chaos were analyzed. Numerical simulations demonstrates that a complex nonlinear phenomena is present on the bifurcation plots of flexural vibrations of three kinds models when is fairly large. Periodic, quasi-periodic and chaotic motions show on alternately when the rotating speed is near to . The bifurcation plot of flexural vibration of model 1 is similar with that of model 2. And model 3 has more complex nonlinear characteristic. The bifurcation plots of torsional vibration of model 2 and 3 are similar with that of flexural vibration. And their nonlinear characteristics are the same too. The analyzed results are usful for knowing more about the dynamics characteristic of cracked rotor.
何成兵;顾煜炯;宋光雄. 裂纹转子弯扭耦合振动非线性特性分析[J]. , 2012, 31(9): 33-38.
He Cheng-bing;Gu Yu-jiong;Song Guang-xiong. Nonlinear study on coupled flexural and torsional vibrations of a cracked rotor. , 2012, 31(9): 33-38.
2012, Vol. 31 
