圆弧齿锥齿轮接触动力学分析

运用三角网格方法重构了三维离散的圆弧齿啮合齿面模型。基于多体动力学理论和迟滞接触动力学方法，提出了考虑全齿面动态接触关系的螺旋锥齿轮三维接触动力学模型和动力学分析方法。运用三角网格单元接触的包围盒搜索技术和微分代数方程求解方法，仿真分析了单侧齿面接触、双侧齿面接触、负载扭矩和齿侧侧隙等因素对齿轮啮合传动特性的影响，获得了圆弧齿啮合全齿面接触冲击力，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较好地模拟了圆弧齿锥齿轮的承载特性和啮合接触动力学特性，对以动力学特性为目标的圆弧齿锥齿轮设计和齿轮系统动力学研究提供了理论参考。

Contact dynamics analysis of spiral bevel gear

The triangular mesh model for tooth surfaces of spiral bevel gears was established in accordance with the coordinates of three dimensional discrete points on mesh surfaces.Considering the full tooth surfaces’ dynamic contact relationship,the three dimensional contact dynamics model of spiral bevel gears was constructed and the dynamics analysis method was studied based on the theory of multi-body dynamics and compliant contact dynamics.The collision detection for triangle-triangle elements based on bounding volume hierarchies and Differential-Algebraic Equations(DAEs) numerical simulation method was used to simulate contact dynamics characteristics of spiral bevel gears transmission.The influences of single surface contact,double surfaces contact of meshing teeth,loads and backlash on the dynamic contact forces on full surfaces of meshing teeth and the dynamic response characteristics were analyzed.The results reveal that the new method and dynamic model brought out in the paper is preferable to simulate the characteristics of carrying capacity and to describe contact dynamics of spiral bevel gears.The method and simulation results provide valuable theoretical basis for further research on dynamics analysis and design of spiral bevel gear and gear transmission systems.