悬臂双盘碰摩转子系统稳定性的半解析分析

Semi-analytical Analysis About Stability of Dual-Disc Rub-Impact Rotor

建立了悬臂双盘碰摩转子系统的动力学模型和运动微分方程,通过创建该系统的非奇异线性变换矩阵并利用变换矩阵的Jacobi矩阵结合Routh Hurwitz理论,研究了悬臂双盘碰摩转子系统的稳定性和稳定区域,并进行了相应的参数讨论.结果表明:该半解析方法可以明确得出系统的稳定区域及稳定区域所对应的转速和阻尼比.同时,碰摩间隙和摩擦因数对系统的稳定区域影响十分明显,稳态周期解能够反映系统响应.研究结果为实际工程的安全运行提供了一定的参考.

A dynamic model was developed with kinematic differential equation derived for a dualdisc over-hung rotor system with rub-impact fault. The stability of the system and stability regions were studied by setting up nonsingular linear transform matrix and by use of Jacobi matrix in combination with the theory of Routh Hurwitz. Then, the effects on the stability regions of the system were discussed with relevant parameters. The results showed that such a semianalytical method is available to get the stability regions and their corresponding rotational speed and damping ratio. Simultaneously, it was found that the contact clearance and friction coefficient both affect the stability regions clearly, and the steady-state periodic solution can reflect the system response. The results as above will provide a theoretical reference for safe running in actual operation.