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转子系统在启动、停车等瞬态过程中常常会产生剧烈的振动，如果让转子系统快速通过共振区则可以有效地降低转子系统瞬态过程的最大振幅．但是实际工况表明，有时转子通过设计的临界转速达到工作转速之后，振幅仍然很大，这一现象利用线性转子系统模型不能得到合理的解释．本文考虑转子支承非线性刚度的影响，建立了转子—支承系统的多自由度非线性模型，利用摄动理论和数值仿真解释了这一现象．此外本文还定量研究了起动、制动加速度的大小对转子系统瞬态过程最大振幅的影响．
Rotor system often generates violent vibration during the startup, stop and other transient processes. If the rotor system is rapidly passed through the resonance zone, the maximum amplitude of the rotor system transient process can be effectively reduced. However, the actual operating conditions show that sometimes the amplitude of the rotor is still large after the rotor reaches the working speed through the designed critical speed. This phenomenon can not be reasonably explained by using the linear rotor system model. In this paper, considering the influence of the nonlinear stiffness of the rotor support, a multi-degree-of-freedom nonlinear model of the rotor-support system is established, which is explained by the perturbation theory and numerical simulation. In addition, this paper also quantitative study of the starting, the acceleration of the rotor system of the maximum amplitude of the transient amplitude.