刚柔耦合齿轮三维接触动力学建模与振动分析  

Contact dynamics modeling and simulation on rigid-flexible gear pair

作　　者：姚廷强[1] 迟毅林[1] 黄亚宇[1] 谭阳[1] 

机构地区：[1]昆明理工大学机电工程学院,昆明650093

出　　处：《振动与冲击》2009年第2期167-171,共5页Journal of Vibration and Shock

基　　金：云南省应用基础研究基金资助项目(2006E021Q);云南省省院省校合作基金资助项目(2004YX12);云南省教育厅科技研究基金资助项目(5Y0553D)

摘　　要：基于多体动力学理论和迟滞接触动力学方法,提出了刚柔耦合齿轮三维接触动力学模型和动力学分析新方法。考虑轮齿与轮体间的相对柔性变形,啮合齿对间球-面三维动态接触和齿轮几何参数等因素,通过离散齿廓渐开线获得了齿面的离散接触面,从而建立了齿轮啮合传动动力学模型。通过数值求解与仿真分析,研究了单侧齿面接触、双侧齿面接触和刚柔耦合特性对齿轮啮合传动特性的影响规律,获得了啮合轮齿全齿面接触冲击力,力矩和角速度等齿轮啮合传动的动态响应特性。研究表明:新方法和动力学模型更真实地模拟了齿轮啮合传动的齿轮柔性变形和接触冲击等振动响应特性。该方法和数值计算结果为齿轮啮合传动和齿轮系统动力学研究提供了理论指导和参考数据。A new dynamic modeling and analysis method on rigid-flexible coupling of gear meshing was brought out.Based on multi-body dynamics theory and compliant contact dynamics,three dimensional contact dynamic model of gear meshing was proposed in consideration of the factors such as flexible deformation between teeth and gear body,discrete contact surface with discrete involute profile and geometrical parameters.Numerical simulation and vibration analysis were carried out to investigate the contact vibration of gear meshing,including the effect of single surface contact,double surfaces contact of meshing teeth and characteristics of rigid-flexible coupling.The contact forces and moments in full surface of meshing teeth and the angular speed variation of driven gear and so on were obtained.The results reveal that the new method and dynamic model brought out in the paper can effectively deal with the vibration response analysis of gear meshing with the effect of flexibility and three dimensional contact of gear meshing.The method and simulation results provide basic data and valuable theoretical basis for further research on dynamics characteristics of gear transmission systems.

关 键 词：齿轮系统动力学 接触动力学 刚柔耦合方法 多体动力学 振动分析 

分 类 号：TP302[自动化与计算机技术—计算机系统结构]