齿轮耦合的转子轴承系统的不平衡响应  

ON RESPONSE OF MASS UNBALANCE IN A GEARED ROTOR BEARING SYSTEM

作　　者：张锁怀[1] 沈允文[1] 丘大谋[2] 

机构地区：[1]西北工业大学机械系,西安710072 [2]西安交通大学

出　　处：《机械工程学报》2002年第6期51-55,共5页Journal of Mechanical Engineering

基　　金：国家自然科学基金资助项目(50075070)

摘　　要：在考虑时变啮合刚度及齿侧间隙的情况下,建立了齿轮耦合的转子-轴承系统的多自由度非线性动力学模型。在一定的转速范围内,用数字仿真法研究了系统的不平衡响应。当转速增加接近第二阶临界转速时,系统经过一系列分岔后,将由周期、准周期运动转变为混沌运动。系统做混沌运动时,振幅及平均变形远大于其他转速下的振幅及平均变形。要想避开混沌运动,系统应该在非共振区工作。当转速超过某值时,混沌运动将激变为周期运动。在工程实际应用中,除混沌运动状态外,可用线性动力学模型来代替非线性模型。Based on a multi-degree-of-freedom nonlinear dynamic model of a geared rotor bearing system with time-varying stiffness and backlash, the mass unbalance response of the system is investigated by applying the numerical simulation over a range of speeds. When the speed increases near to the second critical speed, the motion of the system changes from periodic, quasiperiodic to chaotic state after a series of bifurcation. Under chaotic state, the amplitude of response and average deformation of the system are much larger than others. The system should not operate in resonant region in order to avoid chaotic motion. When the speed exceeds some value, the chaotic motion suddenly changes into periodic motion. Except for chaotic state, the linear model can be substituted for the nonlinear model in engineering.

关 键 词：齿轮耦合 转子轴承系统 不平衡响应 分岔 混沌 离心式压缩机 

分 类 号：TH452[机械工程—机械制造及自动化] TH113