子模态综合法中微分对接条件对次谐共振的影响

EFFECT OF THE DIFFERENTIAL BOUNDARY CONDITIONON SUBHARMONIC RESONANCE

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。

Firstly, the motion equations of a nonlinear rotorbearing system are derived by the modal synthesis method, considering all the algebric and the differential boundary conditions. Then subharmonic resonance of the system are solved by an equivelent linearization method. The obtained results show that the differential conditions have a significant influnce on subharmonic resonace. So, the differential conditions ought to be satisfyed in computing the subharmonic resonance,though considering them are troublesome.