正交面齿轮传动系统非线性振动特性研究  

Nonlinear dynamics of face-gear transmission system

作　　者：杨振[1] 王三民[1] 范叶森[1] 刘海霞[1] 

机构地区：[1]西北工业大学机电学院,西安710072

出　　处：《振动与冲击》2010年第9期218-221,234,共5页Journal of Vibration and Shock

基　　金：863计划资助项目(SQ2008AA04Z3474065)

摘　　要：作为一种新型传动形式,面齿轮传动在高速大功率场合的应用越来越多,其非线性振动特性分析对提高其工作可靠性具有重要意义。为研究正交面齿轮传动系统的非线性动力学特性,建立了包含支承、齿侧间隙、时变啮合刚度、综合传动误差、阻尼和外激励等参数的系统弯-扭耦合动力学模型,并使用PNF(Poincar-Newton-Floquet)方法对系统的动力学微分方程进行求解。计算结果表明:随着转速增大,系统呈现混沌-周期-混沌的运动特征,不同的混沌区域间存在周期窗口;在不同的参数条件下系统会出现4种动态响应,即简谐响应、次谐波响应、拟周期响应及混沌响应;不同的响应特性对应的动载系数幅值差别非常大,应尽量调节系统转速,使系统的动态响应保持在周期窗口内。A nonlinear dynamic model of a face-gear transmission system was presented,which includes bearings,backlash,time-varying meshing stiffness,general transmission error,meshing damping,and external load,etc.The PNF(Poincar-Newton-Floquet) method was used to solve the dynamic differential equations.The calculation results show that the windows of chaotic responses and periodic responses will appear alternately.Four kinds of steady state responses,i.e.harmonic,non-harmonic,sub-harmonic,quasi-periodic and chaotic responses,can be obtained according to different parameters.The amplitudes of dynamic-load coefficients as for different dynamic responses,differ greatly so the system's dynamic responses should be kept in periodic windows by adjusting the system's rotating speed.

关 键 词：面齿轮 非线性动力学响应 分岔 混沌振动 动载系数 

分 类 号：TH132.4[机械工程—机械制造及自动化]