一种用于齿轮齿面偏差评定的二分圆逼近法  

A Bipartite Circle Approximation Method for Gear Tooth Surface Deviation Evaluation

作　　者：周雯超 朱晓春[2] 黄家才 李毅搏 ZHOU Wen-chao;ZHU Xiao-chun;HUANG Jia-cai;LI Yi-bo(Industrial Center/School of Innovation and Entrepreneurship,Nanjing Institute of Technology, Nanjing 211167, China;School of Automation, Nanjing Institute of Technology, Nanjing 211167, China)

机构地区：[1]南京工程学院工业中心、创新创业学院,江苏南京211167 [2]南京工程学院自动化学院,江苏南京211167

出　　处：《南京工程学院学报（自然科学版）》2021年第4期12-16,共5页Journal of Nanjing Institute of Technology(Natural Science Edition)

基　　金：江苏省高等学校自然科学研究重大项目(20KJA510007);南京工程学院高层次人才引进科研启动基金(YKJ2019107);南京工程学院校级青年科学基金项目(QKJ202001)。

摘　　要：为了提高齿轮齿面偏差评定的精度和效率,提出一种求解实际测量点到设计齿面最短距离的二分圆逼近法.该方法利用二分法思想,用圆不断逼近设计齿面上的齿廓线,直到找出最短距离,将三维空间计算转换为二维平面数据处理,简化了运算过程.将此方法在Matlab中实现并进行实际测量环境验证,与齿轮测量仪的评定结果对比,误差在4.5%左右,保证了评定精度,表明所提出的齿轮齿面偏差评定方法实用有效,为齿轮制造业提供了可借鉴方法.In order to improve the accuracy and efficiency of gear tooth surface deviation evaluation,a method of approximating the bisection circle to find the shortest distance from an actual measurement point to the designed tooth surface is proposed.This method uses the idea of dichotomy to continuously approximate the involute tooth profile on the designed tooth surface with a circle until the shortest distance is found,and the calculation of the three-dimensional space is converted into the data processing of the two-dimensional plane,which simplifies the calculation process.This method is implemented in Matlab tools and verified in actual measurement environment.Compared with the evaluation result of the gear measuring instrument,the error is about 4.5%,which guarantees the evaluation accuracy,indicating that the proposed method for evaluating gear tooth surface deviation is practical and effective.It provides a new method for gear manufacturing industry.

关 键 词：最短距离 二分圆逼近法 齿面偏差评定 

分 类 号：TH16[机械工程—机械制造及自动化]