This paper takes an asymmetric support ball bearing-rotor system subjected by unbalanced force and parametric excitation (varying compliance) as the research object. Multi-modes of resonance such as natural frequency resonance region of each order, VC (varying compliance) frequency resonance region, the 1/2 sub-harmonic VC frequency resonance region, and quasi-periodic regions, and the nonlinear characteristics in these regions are analyzed. Besides, the effect of the number of balls of the ball bearing is also considered and the result shows that the parity of this parameter matters a lot. By introducing a definition of the absolute quasi-periodic frequency, the law of the occurrence of the quasi-periodic motion is demonstrated and the possible cause is given to some extent. The work provides a theoretical basis for clarifying the nonlinear characteristics of the bearing-rotor system and suppressing the nonlinear behavior of the system.

本文以不平衡力和参数激励（变柔量）作用下的非对称支撑球轴承－转子系统为研究对象。共振的多种模式，例如每个阶的固有频率共振区域，VC（可变柔度）频率共振区域，1/2次谐波VC频率共振区域和准周期区域，以及这些区域中的非线性特性为分析。此外，还考虑了滚珠轴承的滚珠数量的影响，结果表明该参数的奇偶性非常重要。通过引入绝对准周期频率的定义，证明了准周期运动的发生规律，并在一定程度上给出了可能的原因。