带有挤压油膜阻尼器的转子系统动力学相似设计

针对航空发动机中常见的带有挤压油膜阻尼器(SFD)转子的动力学相似问题，建立了一种相似建模方法。从带有阻尼的转子的振动微分方程着手，通过方程分析法推导了转子振动过程中的不平衡力相似关系和阻尼力相似关系。以挤压油膜阻尼器的油膜力和油膜方程为基础建立了挤压油膜阻尼器参数与转子相似参数之间的数学关系，并给出了相应的工程设计方法。以某带有挤压油膜阻尼器的单转子系统为例，建立了带有挤压油膜阻尼器的相似转子系统，使用有限元法分析了该转子系统与其相似系统的动力学特性，分析结果显示：在仅考虑转子系统内挤压油膜阻尼器阻尼的情况下相似系统的不平衡响应与原转子系统不平衡响应误差低于1%。

Dynamic similarity design of rotor system with squeeze film damper

In order to research the dynamic similarity problems of rotors with squeeze film damper (SFD), which are common in aero-engines, a similar modeling method was established. Starting from the vibration differential equation of the rotor with damping, the similar relationship between the unbalanced force and the damping force in the rotor vibration process was derived by equation analysis method. Based on the oil film force and oil film equation of the squeeze film damper, the mathematical relationship between the parameters of the squeeze film damper and the similar parameters of the rotor was established, and the corresponding engineering design method was given. Taking a single-rotor system of the rotor as an example, a similar rotor system with a squeeze film damper was established. The dynamic characteristics of the rotor system and its similar systems were analyzed using the finite element method. The analysis results showed that the unbalance response error between the similar system and the original rotor system was lower than 1% when only considering the damping of squeeze film damper in the rotor system.