采用库伦摩擦和非库伦摩擦两种摩擦力模型,分析转子系统碰摩分叉与混沌动力学行为,比较采用两种摩擦模型分析结果,找到转子系统通往混沌的道路。以转速为分叉参数,结合Poincare截面图、波形图、相平面图、轴心轨迹图、功率谱图和自相关函数图,分析系统运动状态。分析结果表明,采用库伦摩擦和非库伦摩擦两种摩擦力模型,采用不同参数值的非库伦摩擦力模型,转子系统响应均有明显不同;以转速为分叉参数时,转子系统经历数次从混沌到周期解再到混沌、再到周期解的过程,即混沌与周期运动交替出现。转子系统通向混沌的道路主要是倍周期分叉;转子实验台碰摩实验结果表明,采用非Coulomb摩擦模型模拟实际转子系统比较符合实际情况。
In order to analyze the local rubbing bifurcation and the chaotic dynamic behavior of a rotor system and find out the route to chaos, two friction force models of Coulomb friction and non-coulomb friction were employed, and two types of friction model analysis were compared and compared. Based on speed parameters for the bifurcation, the system motion state was studied through Poincare map, wave forms graph, plase plan graph, chart of axes track, power spectrums and auto-correlation function method. The analysis showed that the system motion state was obviously different, when suitable system parameters were adopted in Coulomb friction and non-Coulomb friction models. Rotor system experienced a number of periodic solutions from chaos to chaos then, and to the cycle of the process, i.e. the alternating movement from chaos to period. The main route to chaos mainly is period doubling bifurcation. The rotor system rubbing experimental results show that the calculated results by using non-Coulomb friction model more accord with the actual situation for simulating actual rotor system.