曲面综合法少齿数弧齿锥齿轮加工参数计算仿真与切齿试验  

Calculation simulation of machining parameters and gear-cutting test on spiral bevel gears'teeth in small number based on curved-surface synthesis method

作　　者：魏冰阳[1] 张柯 宋聪聪 冯少坤 WEI Bingyang;ZHANG Ke;SONG Congcong;FENG Shaokun(School of Mechatronics and Electrical Engineering,Henan University of Science and Technology,Luoyang 471003;CITIC Heavy Industries Machinery Co.,Ltd.,Luoyang 471039)

机构地区：[1]河南科技大学机电工程学院,河南洛阳471003 [2]中信重工机械股份有限公司,河南洛阳471039

出　　处：《机械设计》2024年第3期57-64,共8页Journal of Machine Design

基　　金：国家自然科学基金项目(51875174)。

摘　　要：少齿数高减比齿轮传动具有体积小和轻量化的优势。根据综合变位和节锥外啮合原理,设计了一对高减速比弧线等高齿锥齿轮,给出了相关的几何限制条件,推导了大、小轮齿面方程。大轮采用成形法加工,小轮采用单面展成法加工,为弥补大轮齿廓曲率的不足,小轮刀齿采用圆弧刃修形,采用曲面综合法优化求解了小轮加工参数;通过建立ease-off差齿面,对齿面修形梯度、传动误差、接触路径与接触线进行了仿真。切齿和滚检试验,验证了高减比弧齿锥齿轮几何设计、刀盘修形加工方法的可行性。The transmission of the gear with a small number of teeth and high reduction ratio has the advantages of small size and light weight.In this article,according to the principle of comprehensive displacement and pitch cone external meshing,a pair of arc contoured bevel gears with high reduction ratio are designed,the related geometric constraints are given,and the tooth sur-face equations for the large gear and the small gear are deduced.The large gear is processed by means of the forming method,while the small gear is processed by means of the single-sided generating method.In order to make up for the insufficient curva-ture of the large gear's tooth profile,the small gear's cutter teeth are modified with a circular edge,and the processing parame-ters of the small gear are optimized with the help of the surface synthesis method.By setting up the ease-off difference tooth sur-face,the tooth surface's modification gradient,the transmission error,the contact path and the contact line are simulated.The tests of gear cutting and rolling inspection have verified that both the geometric design of the spiral bevel gears with high reduction ratio and the method of cutter-head modification and processing are feasible.

关 键 词：小轮修形 综合变位 啮合仿真 加工参数 切齿试验 

分 类 号：TH132.4[机械工程—机械制造及自动化]