某涡扇发动机转子系统稳定裕度及其灵敏度分析  

Stability margin of rotors system of a turbofan engine and its sensitivity

作　　者：范叶森[1] 王三民[1] 杨振[1] 刘海霞[1] 

机构地区：[1]西北工业大学机电学院,陕西西安710072

出　　处：《燕山大学学报》2010年第5期395-400,共6页Journal of Yanshan University

基　　金：国家高技术研究发展计划(863计划)资助项目(2009AA04Z404)

摘　　要：某型涡扇发动机转子系统由3个单转子系统构成。将该三转子系统在耦合处分开,把耦合力作为单个转子上的外力,并利用集总参数法和各节点的振动微分方程表达式建立单个转子的振动方程。利用各转子间耦合部件的总体耦合矩阵将单个转子的振动方程耦合在一起,建立了整个三转子系统的振动微分方程。通过求解整个系统的振动微分方程,得到整个系统所有模态的对数衰减率,并进一步求出系统的稳定裕度和其灵敏度。研究结论表明:提高高压转子轴承的阻尼和高压转子的弯曲刚度可以有效提高系统的稳定裕度;联轴器的存在和转子转速的提高都会降低转子系统的稳定裕度。The rotors system of a turbofan engine that composes of three sub-rotor-systems is divided into three single-rotor systems at the coupling parts. The coupled forces are regarded as the external exciting forces for each single-rotor system. The vibration equations of the single-rotor system are derived from the lumped mass method and the vibration equations of each node. The global vibration equations of the entire multi-rotor system are established through the whole coupled matrixes of the coupling parts. To solve the global vibration equations, the logarithmic decrement of each mode of the whole rotors system is obtained, the minimum logarithmic decrement is regarded as the magnitude of stability margin of the whole multi-rotor system, and the sensitivity of the stability margin to the parameters of the rotors system is also calculated. The results show that to augment the damping of the bearings and the bending stiffness of the high pressure rotors system will improve the stability margin of the rotors system effectively. The existence of the elastic coupling and the increase in the rotational speed will reduced the stability margin of the whole rotor system.

关 键 词：涡扇发动机 三转子系统 振动方程 稳定裕度 灵敏度 

分 类 号：V231[航空宇航科学与技术—航空宇航推进理论与工程] TH113[机械工程—机械设计及理论]