具粘弹性支承的柔轴弹性盘转子系统的动力学分析

Dynamic Analysis for a Rotating System of Flexible Shaft and Elastic Disk with Viscous-elastic Supported

讨论了柔轴弹性圆盘转子系统在粘弹性支承下的临界转速和动力稳定性问题 ,轴和支承具有不对称的阻尼系数和刚度系数 .利用能量法和耗散系统的 Lagrange方程推导了系统的运动微分方程 ,阐述了求解方法 .大多数的不稳定区出现在不平衡共振附近 ,通常可以通过调整轴。

The critical speed and dynamic stabilities for a rotor system of flexible shaft and elastic disk with viscous supported is discussed.Shaft and bearing may have damping and asymmetric/anisotropic stiffness.Using the energy method and the Lagrange equation for exhausted system,a set of the control equations is derived and solved.The major regions of instability appear near the imblance resonance.These regions instability can often be avoided with the right combination of damping and stiffness of the shaft and the bearings.