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由于当转子转速超过失稳门槛后,涡动轨迹逐渐加大,轴承中的油膜力呈现强烈的非线性特性,这时仍用特征值法来预测此系统的动力特性是不行的;如用时域积分法求其涡动轨迹又不能透彻地研究涡动的机理及特性。利用Hopf分叉分析法,研究了涡动的非线性现象,得到了刚性转子有限长轴承系统的极限环及其稳定性的判据条件,并把其推广到了研究转子在大涡动条件下系统周期介的特性。这为研究非线性涡动的特性开辟了道路,同样这种分析方法亦适合于柔性转子系统的极限环特性分析
Because when the rotor speed exceeds the threshold of instability, the eddy trajectory gradually increased, the bearing oil film showed a strong nonlinear characteristics, then still using the eigenvalue method to predict the dynamic characteristics of the system is not enough; as with the time domain Integral method for its vortex trajectory can not thoroughly study the mechanism and characteristics of vortex. The Hopf bifurcation analysis method is used to study the nonlinearity of the eddy and the criterion of the limit cycle and its stability of a rigid rotor finite length bearing system is obtained. The method is generalized to the research of the rotor under large eddy condition Cycle characteristics. This opens up the way for the study of the characteristics of nonlinear eddy currents. The same method is also suitable for the analysis of the limit cycle characteristics of a flexible rotor system