盘形铣刀加工等基圆锥齿轮的原理及齿面求解  

Processing principle and tooth surface determination of equal base circle bevel gear using disc cutter

作　　者：王斌[1] 邓效忠[2] 党玉功[1] 李天兴[2] 李更更[2] 

机构地区：[1]西北工业大学机电学院,西安710072 [2]河南科技大学机电工程学院,河南洛阳471003

出　　处：《航空动力学报》2014年第3期663-671,共9页Journal of Aerospace Power

基　　金：国家自然科学基金(50675061)

摘　　要：为了实现等基圆锥齿轮的高速、高效加工,基于等基圆锥齿轮理论,分析了盘形铣刀加工等基圆锥齿轮的可行性,建立了盘形铣刀数学模型、盘形铣刀加工坐标系,分析并确立了各坐标系间的转换关系.通过刀具曲面与齿面在共轭接触点处啮合方程的建立及求解,得到了盘形铣刀加工的等基圆齿面表达式.对盘形铣刀加工理论下的等基圆锥齿轮齿面与理论等基圆齿面进行了分析比较,进行了盘形铣刀的仿真加工.结果表明:通过盘形铣刀截形、盘形铣刀加工运动中的回转角度、倾斜角度及倾斜中心点的合理设计,盘形铣刀加工而成的实际齿面与理论齿面的接近程度达到工程要求,使用盘形铣刀可以加工等基圆锥齿轮.The equal base circle bevel gear was machined with a disc cutter. Based on the equal base circle bevel gear theory, its feasibility was analyzed, the mathematical model of the disc cutter was established; then the processing coordinate system of this special bevel gear was constructed based on disc cutter, while the mutual transformation of the cutting co ordinate system was analyzed and obtained. The expression of tooth surface was obtained through solving the meshing equation of conjugate contact point when cutting this gear with a disk cutter. This new tooth surface was compared with a theoretical tooth surface based on finger cutter theory, and the machining and the theroretical tooth surface are simulated. The results show that. by reasonable design of the disc cutter section shape, the rotary angle in machining, the tilt angle and tilt center in machining, the actual tooth surface using disc cut ter machining and the theroretical tooth surface are similar to the meet engineering requir ments, and the equal base circle bevel gear can be processed using disc cutter.

关 键 词：等基圆锥齿轮 盘形铣刀 加工原理 齿面方程 仿真加工 

分 类 号：V232.8[航空宇航科学与技术—航空宇航推进理论与工程] TG506[金属学及工艺—金属切削加工及机床]