考虑中介轴承波纹度的双转子系统的非线性振动  

Nonlinear vibration of dual-rotor system with surface waviness in inter-shaft bearing

作　　者：侯磊[1,2] 符毅强 陈予恕[1] 

机构地区：[1]哈尔滨工业大学航天学院,哈尔滨150001 [2]哈尔滨工业大学能源科学与工程学院,哈尔滨150001

出　　处：《航空动力学报》2017年第3期714-722,共9页Journal of Aerospace Power

基　　金：国家重点基础研究发展计划(2015CB057400)

摘　　要：针对考虑中介轴承波纹度的双转子模型,应用转子动力学理论和拉格朗日方程建立系统的运动方程,采用数值方法求得系统的非线性振动响应,并分析了转速、波纹度最大幅值、波纹度波数和波纹度初始幅值对系统动力学行为的影响规律.结果表明:波纹度对高、低压转子动力学行为的影响规律基本一致,随着转速的增加,高、低压转子的运动表现为周期运动与非周期运动交替变化,在较低转速区可能发生概周期及混沌运动.随着波纹度最大幅值的增大,系统可由周期运动演化为周期2运动、概周期运动及周期4运动,表明波纹度最大幅值增大时不利于系统的安全平稳.当波数为滚动体数的整数倍时,系统可能出现概周期及混沌等复杂非周期运动.随着波纹度初始幅值的增大,系统表现为概周期运动与混沌运动交替出现,但波纹度初始幅值相对较大时转子系统的振动幅值相对较小.Considering the effect of dual-rotor model with surface waviness in inter-shaft bearing, the motion equations of a dual-rotor system were formulated by employing rotor dynamics and Langrange equations. The nonlinear vibration responses of the system were de- rived through numerical calculations. Accordingly, the dynamic behaviors of the system influenced respectively by rotation speed, maximum surface waviness amplitude, surface waviness order and the initial surface waviness amplitude were analyzed. The results showed that the effects of the surface waviness on the high pressure rotor and the low pressure rotor were almost the same. With the increase of the rotation speed, both of high pressure and low pressure rotors showed an alternative variation of periodic motion and non-periodic motion. In particular, the quasi-periodic and even chaotic motions may occur within a relatively low rotation speed region. With the increase of maximum surface waviness amplitude, the dy- namic behavior of the system may turn from periodic motion into periodic 2 motion, quasi-pe- riodic motion and periodic 4 motion against the safety and stability of the vibration system. When the surface waviness order was integer multiples of the number of rollers, the motion of the system would might be non-periodic, e.g. quasi-periodic or chaotic. With the increase of the initial surface waviness amplitude, the system showed an alternative variation of quasiperiodic motion and chaotic motion. Nevertheless, for a larger initial surface waviness amplitude, the vibration amplitude of system was even smaller.

关 键 词：双转子系统 中介轴承 波纹度 非线性振动 滚动轴承 

分 类 号：V23[航空宇航科学与技术—航空宇航推进理论与工程]