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中文摘要：
建立了滚动轴承支承下的转子系统非线性动力学模型。在滚动轴承模型中，充分考虑了滚动轴承的间隙、滚动轴承的滚珠与滚道的非线性赫兹接触力及由滚动轴承支撑刚度变化而产生的VC（varying compliance）振动，在转子系统中考虑了由于转子质量偏心而产生的不平衡力。运用数值积分方法获取了系统的非线性动力响应，分析了转子旋转速度、滚动轴承间隙对系统动力响应的影响，并运用分叉图、相平面图、频谱图及Poincaré映射进行了系统分叉与混沌特征分析，发现了通往混沌的倍周期分叉、拟周期环面破裂和阵发性分叉途径。
英文摘要：
An unbalanced rotor dynamics model supported on ball bearing was established. In the model of ball bearing, three nonlinear factors were considered, such as the clearance of bearing, nonlinear Hertzian contract force between balls and races, and the varying compliance vibration because of periodical variety of contact position between balls and races. In the model of rotor, rotor＇s unbalance force, which varies with rotating speed, was considered. The numerical integral method was used to obtain nonlinear dynamic responses, the effects of rotating speed and the bearing clearance on dynamic responses were analyzed, and the bifurcation plot, phase plane plot, frequency spectrum and Poincaré map were used to carry out the analysis of bifurcation and chaos motion. Period doubling, quasi-period loop breaking and mechanism of intermittency had been observed as the routes to chaos.
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