参数化设计减小矩形花键滚刀代用圆弧的误差  

Computer Parameterized Design Reduces the Error of the Substitute Arc of the Rectangular Spline Hob

作　　者：陈英健 辛佳毅 王时英[1,2] 吕明 CHEN Ying-jian;Xin Jia-yi;WANG Shi-ying;LV Ming(School of Mechanical Engineering,Taiyuan University of Technology,Shanxi Taiyuan 030024,China;Key Laboratory of Precision Machining,Shanxi Taiyuan 030024,China;Taiyuan Tool Factory Co.,Ltd.,Shanxi Taiyuan 030008,China)

机构地区：[1]太原理工大学机械工程学院,山西太原030024 [2]精密加工山西省重点实验室,山西太原030024 [3]太原工具厂有限责任公司,山西太原030008

出　　处：《机械设计与制造》2024年第8期105-108,113,共5页Machinery Design & Manufacture

基　　金：山西省自然科学基金项目(20181D121176);精密异形插齿刀设计(RH19200144);山西省科技攻关计划(201903D121068)。

摘　　要：针对矩形花键滚刀代用圆弧相对于理论法向齿形的误差进行了参数化的程序设计,根据最大误差最小法算法以及回代算法,减小了矩形花键滚刀齿形代用圆弧的误差、获得了合理的代用圆弧的圆心坐标及半径值以及缩短了设计周期。其基本方法:首先计算出矩形花键滚刀法向齿形的坐标点公式,然后用双圆弧来代替理论齿形,推导出双圆弧拟合公式。之后基于最大误差最小法算法和回代算法,最后以ObjectARX为开发工具,基于C#.NETAPI的技术,利用优化后的代用圆弧的圆心坐标和半径值以及数据库中的其他相关参数完成矩形花键滚刀法向齿形图的绘制,并且自主研发设计出一套集矩形花键滚刀参数设计、滚齿自动加工参数仿真、干涉参数验算和滚齿数据处理控制于一体的通用矩形花键滚刀参数人性化自动设计绘制平台,实现渐变和矩形状的花键法向滚刀的滚齿参数自动化绘制设计。A parameterized program design is carried out for the error of the substitute arc of the rectangular spline hob relative to the theoretical normal tooth profile.Cording to the maximum error minimum method algorithm and the back-substitution algorithm,he substitute circle of the rectangular spline hob tooth profile is reduced.He arc error,he reasonable center coordinate and radius value of the substitute arc are obtained,and the design cycle is shortened.He basic method:First calculate the coordinate point formula of the normal tooth profile of the rectangular spline hob,then use the double arc instead of the theoretical tooth profile to derive the double arc fitting formula.After that,based on the maximum error minimum method algorithm and back substitution algorithm,finally ObjectARX is used as a development tool,based on the technology of C#.NET API,using the optimized center coordinates and radius values of the substitute arc and other related parameters in the database to complete the rectangular flower draw the normal tooth profile diagram of the key hob,and independently research and develop a set of general rectangular splines that integrate the parameter design of the rectangular spline hob,the simulation of the automatic processing parameters of the gear hobbing,the check of interference parameters and the data processing and control of the gear hob The hob parameter humanized automatic design drawing platform realizes the automatic drawing design of the hobbing parameters of the gradual and rectangular spline normal hob.

关 键 词：矩形花键滚刀 代用圆弧 齿形误差 参数化设计 

分 类 号：TH16[机械工程—机械制造及自动化] TG721[金属学及工艺—刀具与模具] TP311.1[自动化与计算机技术—计算机软件与理论]