辐板阻尼对齿轮传动的非线性动力学特性影响研究  

Effects of Web Damping on the Nonlinear Dynamics of a Gear Transmission

作　　者：刘海霞[1] 王三民[1] 范叶森[1] 杨振[1] 

机构地区：[1]西北工业大学机电学院,西安710072

出　　处：《机械科学与技术》2009年第7期965-970,共6页Mechanical Science and Technology for Aerospace Engineering

基　　金：航空科学基金项目(2006ZB53016)资助

摘　　要：合理的辐板阻尼可以有效地改善齿轮在高速运转时的振动特性。基于齿轮传动系统的四自由度动力学模型,建立了齿轮系统的非线性振动方程,考虑了辐板刚度、阻尼、齿侧间隙、轴承间隙、时变刚度、综合传动误差、啮合阻尼等因素对振动的影响。使用增量谐波平衡方法(IHB法)对系统的振动微分方程进行求解。数值结果表明,在不同的辐板阻尼条件下,系统会出现次谐波响应、拟周期响应以及混沌响应等典型的非线性振动特性;在此基础上,得到了辐板阻尼对齿轮系统振动的幅频特性、动载系数的影响规律,为辐板阻尼的动态优化设计奠定了基础。Gear transimission with appropriate web damping can improve the vibration of high-speed gear transmis- sion system effectively. Based on a four degree of freedom dynamic model, nonlinear vibration equations of a thinwebbed gear transmission system are presented, considering the effects of stiffness and damping of web, backlash, time-varying stiffness, general transmission error and meshing damping on the system vibration. The IHB （Incremental Harmonic Balance）method is used to solve the dynamic differential equations. Sub-harmonic, quasi-period- ic and chaotic responses are obtained for different web damping . The effect laws of web damping on amplitudefrequency characteristics and dynamic-loads coefficient of the system are obtained.

关 键 词：齿轮传动 非线性动态响应 混沌 辐板阻尼 幅频特性 动载系数 

分 类 号：TH132[机械工程—机械制造及自动化]