刚度对转子系统随机响应的影响

为了建立系统力学模型与随机运动微分方程，分析系统刚度对随机响应的影响，应用虚拟激励法,通过计算机数值模拟,结合随机响应功率谱密度函数，分析考虑机匣弹性、陀螺力矩并同时考虑机匣与定子间的弹性联接的复杂悬臂双盘转子系统在多参数耦合随机激励 轴承回转随机动力激励、转子不平衡随机激励和地面随机地震激励下的随机响应,讨论系统刚度变化对随机响应的影响。结果表明，水平方向地震时随机响应相对比较强烈，悬臂端圆盘振动最为强烈，机匣刚度、机匣联接刚度和轴承刚度对随机响应影响较大,提高系统刚度对降低随机响应有利。

Influence of Stiffness on Random Response of Rotor System

In order to analyze the effects of system stiffness on random response, a dynamic model and random motion differential equations are established. By using a pseudo excitation method based on a computer numerical simulation along with a power spectral density function, the casing elasticity and gyro torque are analyzed for the random response of the complex cantilever double-disc rotor system, with multi-parameter coupling random excitation, bearing slewing random dynamic excitation, rotor imbalance random excitation, ground earthquake random excitation, and other effects that system stiffness has on the random response. The analyses show that random response is relatively strong during an earthquake in the horizontal direction, and when the vibration of the disc with the cantilever end is strongest. Moreover, there is a greater impact on random response due to casing stiffness, casing joint stiffness, and bearing stiffness. It is thus advantageous to improve the stiffness of the system in order to reduce the random response. The results of the analyses show that it is appropriate to use the virtual excitation method to analyze the random response of the complex rotor system, which can provide the basis for selecting reasonable system parameters and controlling random vibration.