转速激励下齿轮系统拍击振动的分岔特性  

BIFURCATION CHARACTER OF RATTLING IN THE GEAR SYSTEM UNDER THE EXCITATION OF THE ROTATIONAL SPEED FLUCTUATION

作　　者：董海军[1] 沈允文[1] 郜志英[1] 刘梦军[1] 

机构地区：[1]西北工业大学机电学院,西安710072

出　　处：《机械工程学报》2006年第2期168-172,共5页Journal of Mechanical Engineering

基　　金：国家自然科学基金资助项目(50075070)

摘　　要：在考虑齿轮轴偏心质量、主动轴转速波动、轮齿时变啮合刚度及齿轮副齿侧间隙的情况下,建立了齿轮传动系统拍击振动分析的集中质量模型。计算了主动轴转速波动激励下齿轮传动系统振动性态随负载力矩变化的分岔规律。计算结果表明,随着负载力矩的减小,齿轮副依次出现三种振动状态,即:①完全啮合的振动状态; ②仅有齿面碰撞的脱啮碰撞振动状态;③同时具有齿面碰撞和齿背碰撞的脱啮碰撞振动状态。通过倍周期分岔, 系统振动由周期转变为混沌,而在混沌区域中还存在一些周期窗口。齿轮副在振动状态转变的过程中均出现了跳跃现象,而跳跃过程的振动周期并不改变。分岔过程揭示出系统具有复杂的非线性特征。A lumped mass gear-rattling model is established by considering the rotational speed fluctuation of driving shaft, mass unbalance in the gear shaft, time-varying mesh stiffness of gear teeth and backlash between the gear pair. With the changing of the output torque, the bifurcation character of the gear system is obtained under the excitation of the rotational speed fluctuation of driving shaft. The calculation results show that with the decreasing of the output torque, three kinds of vibration states appear in order, i.e. ① the gear pair is meshing always; ② the gear pair separates and impact between the faces of teeth take place; ③ the gear pair separate and impacts taken place both between the faces and between the backs of teeth. The system exhibits a period doubling route to chaos. However, periodic windows can be found in the chaotic region. Jumping phenomena occur when the vibration state changes. However, the vibration period doesn＇t change with the transition of the vibration state. The bifurcation process reflects the system＇s complicated nonlinear character.

关 键 词：拍击振动 齿轮 间隙 混沌 分岔 

分 类 号：TH113.1[机械工程—机械设计及理论] TH132.41