齿轮传动非线性动力学键合图建模研究  

Nonlinear dynamics bond graph model for a spur gear pair system

作　　者：唐进元[1] 陈海锋[2] 

机构地区：[1]中南大学高性能复杂制造国家重点实验室,湖南长沙410083 [2]中南大学机电工程学院,湖南长沙410083

出　　处：《重庆大学学报（自然科学版）》2012年第2期87-91,共5页Journal of Chongqing University

基　　金：国家973计划资助项目(2011CB706800);国家自然科学基金资助项目(50875263);中南大学研究生学位创新论文资助项目

摘　　要：考虑齿轮时变啮合刚度、传动误差和齿面摩擦力,研究运用键合图理论建立齿轮传动非线性振动键合图模型。建立用容性元件c表示的载荷和轮齿弹性变形的键合图模型,给出用时变啮合刚度表示的容度参数Kj;提出在齿轮传动动力学建模中用流源Sf表示传动误差,并给出建模方法;考虑相对运动速度与摩擦力方向的关系,建立齿面摩擦力键合图模型。根据因果关系和功率流,得到齿轮传动非线性键合图模型的状态空间方程。结果表明键合图建模理论与方法可以用于解决齿轮非线性动力学的建模问题,研究工作是系统动力学建模研究的基础性工作。A nonlinear dynamics bond graph model of gear pair system is established including the time- varying gear mesh stiffness, transmission error and tooth surface conditions. A capacitive component c is introduced to represent the loads and tooth elastic deformation, while the capacity parameter Kj is expressed by time-varying mesh stiffness, and flow Sf represents the influences of the gear transmission error on the system dynamic equations. Then the tooth surface friction bond graph model involving the relationship between the relative velocity and the direction of friction are presented. According to the causal relations and the power flow, the state-space equations of the gear bond graph model are obtained. Research results show that bond graph modeling method can solve the modeling problem of the gear nonlinear dynamics, and this paper is a kind of basis work of the complex mechanical system modeling and the development of bond graph modeling theory.

关 键 词：系统动力学 键合图 非线性 齿轮传动 

分 类 号：TH134.41[机械工程—机械制造及自动化] TP391.9[自动化与计算机技术—计算机应用技术]