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在非线性油膜力作用下 ,建立了转子 -联轴器系统的运动微分方程。非线性油膜力则采用有限差分法求解 ,对联轴器耦合的刚性转子系统和柔性转子系统分别进行了计算和分析。结果表明对于平衡转子系统在平衡点失稳后 ,在一个较大的转速范围内存在着稳定的涡动轨迹 ,联轴器两侧转子的质量相差越大 ,则发生 Hopf分岔所对应的转速越高。对于不平衡转子系统 ,在同步涡动轨道失稳后 ,系统将产生准周期和倍周期等一系列的分岔现象 ,并且质量偏心的位置对系统的动力学行为有影响。
Under the nonlinear oil film force, the differential equation of motion of the rotor-coupling system is established. The nonlinear oil film force is solved by the finite difference method. The rigid rotor system coupled with the coupling and the flexible rotor system are respectively calculated and analyzed. The results show that there is a steady eddy trajectory in a large rotating speed range when the equilibrium rotor system is unstable at the equilibrium point, and the bigger the difference of the mass of rotors on both sides of the coupling, the rotation speed corresponding to the Hopf bifurcation The higher. For unbalanced rotor system, a series of bifurcations, such as quasi-periodic and double-period, will occur after the orbiting vortex orbit is unstable, and the location of mass eccentricity will affect the dynamic behavior of the system.