【作者】 韩伟娜；

【导师】 宋轶民；

【作者基本信息】 天津大学 ， 机械设计及理论， 2007， 硕士

【摘要】 齿轮传动是最重要的机械传动形式,螺旋锥齿轮因具有良好的传动性能而得到广泛应用,尤其是在汽车的后桥中普遍采用螺旋锥齿轮传动。为避免渐开线齿面被碰毛,降低噪声和冲击,螺旋锥齿轮的齿端和外锥面齿顶线常需要进行倒角。然而,现在仅限于对齿轮的端面齿形采用机械加工方法进行倒角加工,而齿顶线的倒角是靠工人手工操作砂轮来完成。为解决该技术难题,本文在林汉元高工申报的专利的基础之上,展开对汽车螺旋锥齿轮副中大轮外锥面齿顶线倒角加工方法的研究,主要工作如下:基于汽车螺旋锥齿轮副中的大轮采用的半滚切法加工原理,建立了大轮面锥和切齿刀具内、外刀片切削刃轨迹面的数学方程;通过空间坐标变换矩阵和方程联立,推导出大轮的内、外齿顶线方程,为倒角轨迹的推导提供了理论基础。建立了大轮齿顶线的摆线连续分度法倒角加工的数学模型;推导出倒角刀具的实际运动轨迹,同时获得加工误差和所需要的轴向进给量。建立了倒角刀具设计的数学模型,将其转化为一个有约束优化问题,进而利用MATLAB中的优化程序包,搜索出最佳的设计变量,最终得到倒角刀具的位置和刀具半径。最后,给出一个具体的计算实例。用数值结果和动画仿真验证了上述理论和方法的可行性。更多还原

【Abstract】 Gearing is one of the most important mechanical transmissions. Spiral bevel and hypoid gear is widely used for its good transmission performance, especially in the automobile rear axle. To avoid the failure of involute tooth surface, reduce noise and collision, the tooth profile and addendum lines often need to be chamfered. Up to now, the chamfering has been limited to the tooth profile in mechanical manufacturing. For the chamfering of addendum lines, it is often completed by hand with wheel grinding. In this thesis, the addendum lines’chamfering for the driven gear in spiral bevel and hypoid gear transmission of automobile is studied based on the patent by Lin Hanyuan, and following works have been carried out.According to the principle of generating-forming method, the equations of face cone and blades trace of gear-cutting tool are obtained for the driven gear. Base on the coordinate transformation matrix and the combination of above equations, the equations of inside and outside addendum lines is deduced, which lays the theoretical foundation of chamfering trace.The mathematical model of addendum lines’ chamfering is proposed in the continuous indexing method for the driven gear. The equations of chamfering trace are deduced, and eventually processing errors and the axial feed depth are obtained. The mathematical model of chamfering tool is proposed. The problem is transformed into constrained optimization, which can be solved by use of MATLAB optimization function to find the optimal solution of design variables. Eventually the location and radius of chamfering tool is obtained.Finally, a specific example is given. The feasibility of the theoretical method is proved through the theoretical results and the animation.更多还原