本文根据二阶非完整约束系统的Routh型方程,用子模态综合法,建立了考虑全部几何及动力对接条件下,非线性转子——支承系统的运动微分方程。通过对动力对接条件之作用的定性研究以及对一个非线性转子——支承系统不平衡响应数值解的分析,初步得出:含导数项的动力对接条件对系统的解影响较大,不含导数项的影响较弱。由于考虑全部几何及动力对接条件的求解烦琐,本文提出了一种较简便的近似方法。 In this paper, according to the Routh equation of the second order nonholonomic constrained system, the differential equations of motion of the nonlinear rotor-support system under all geometrical and dynamic conditions are established by using the sub-modal synthesis method. Through the qualitative research on the effect of dynamic docking conditions and the analysis of the numerical solution of the unbalance response of a nonlinear rotor-bearing system, it is concluded that the dynamic docking conditions with derivative terms have a great influence on the system solution without the derivative The impact of items is weak. Due to the complexity of solving all geometrical and dynamic docking conditions, this paper presents a simple and convenient approximation method.