中文摘要：

针对轴承刚度计算精度不高的问题，求解滚动轴承内圈方程组的雅可比矩阵得到滚动轴承五维刚度，对轴承刚度特性分析表明，刚度随工况变化呈显著非线性变化．考虑转子外力和不平衡力作用于轴承的载荷变化和工况变化对轴承刚度的影响以及轴承刚度对转子系统动特性的影响，提出了滚动轴承-转子系统动态特性计算的整体分析方法，使用最速下降法结合牛顿-拉夫逊法求解系统的特征值，建立了转子失稳门槛的优化模型．对某多圆盘转子的临界转速、失稳门槛计算的结果表明：考虑轴承和转子相互作用对系统动特性的影响较为显著，优化转子直径提高了失稳门槛值．本研究为转子系统动特性的准确计算提供了方法．

英文摘要：

To provide a method for accurate analysis on dynamic characteristics of rotor-bearing system dimentional stiffness of bearing was obtained from sis on stiffness characteristics of ball bearing partial derivatives matrix of inner ring equations. The shows that the effect of operating condition on stiffness of is nonlinear obviously. A method of integral analysis on dynamic characteristics of ball bearing fiveanaly- bearing and rotor system is proposed, in which both the effect of force acting on rotor and dynamic load aroused by unbalanced force and operating condition on bearing and the effect of bearing stiffness on rotor system are considered. Steepest descent method and Newton-Raphson method were used to solve the characteristic equation. An optimized model for threshold of instability was set up. The critical speed and threshold of instability of a multidisk rotor model were calculated. Numerical results show that the effect on dynamic characteristics of rotor system is evidently when the inter-influence of bearing and rotor is considered. Threshold of instability is improved by optimizing diameter of the rotor