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根据子模态综合法建立了考虑全部代数和微分对接条件下，非线性转子——支承系统的运动微分方程。然后采用一种新的等效线性化法［１］，求解系统的次谐共振。通过对对接条件之作用的定量研究，结果表明：微分对接条件对次谐共振影响较大。因此，应当考虑微分对接条件，尽管这会增加推导工作量和综合后矩阵的阶数。
According to the sub-modal synthesis method, the differential equations of motion of the nonlinear rotor-support system are established considering all algebraic and differential joints. Then a new equivalent linearization method [1] is used to solve the system’s subharmonic resonance. Through the quantitative research on the effect of docking conditions, the results show that the differential docking conditions have a great influence on the second harmonic resonance. Therefore, differential joining conditions should be considered, though this will increase the derivation of the workload and the order of the matrix after synthesis.