滑动轴承转子系统动力学稳定域的数值分析方法

A Numerical Method on Estimation of Stable Regions of Rotor Systems Supported on Lubricated Bearings

根据Floquet理论定义了非线性非自治系统周期解的稳定度· 从动力系统流的概念出发 ,给出利用非线性非自治系统稳态周期解受扰后的瞬态响应 ,计算周期解稳定度的数值计算方法· 以稳定度等于零为临界判据 ,分析计算了滑动轴承平衡和不平衡刚性转子系统的稳定吸引域· 研究发现 ,平衡转子随着转速的升高稳定域减小 ;不平衡转子随着不平衡量的增大稳定域减小 ;

The stability degree of periodic solution of nonlinear nonautonomous system was defined by means of the Floquet theory. A method evaluating the stability degree of periodic solution based on transient response was presented by the aid of the concept of dynamic systems or flows. The critical value of a system was determined by the condition i.e.its stability degree equals zero. Stable regions of rotor systems with balanced and unbalanced disk supported on lubricated bearings were calculated. The study shows that stable region decreases with the increase of speed for a balanced rotor system and decreases with the increase of unbalance for an unbalanced rotor system . Stable regions of periodic solutions are less than that of equilibrium points under the same systematic conditions.