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基于NURBS曲线拟合的渐开线圆柱齿轮齿形偏差计算

晏婷 杨光永 于元滐 戈一航 徐天奇

计算机与数字工程2024,Vol.52Issue(2):332-336,5.
计算机与数字工程2024,Vol.52Issue(2):332-336,5.DOI:10.3969/j.issn.1672-9722.2024.02.006

基于NURBS曲线拟合的渐开线圆柱齿轮齿形偏差计算

Calculation of Tooth Profile Deviation of Involute Cylindrical Gear Based on NURBS Curve Fitting

晏婷 1杨光永 1于元滐 1戈一航 1徐天奇1

作者信息

  • 1. 云南民族大学电气信息工程学院 昆明 650500
  • 折叠

摘要

Abstract

In order to improve the fitting accuracy of the existing gear profile curve,aiming at the existing tooth profile devia-tion calculation methods,a tooth profile deviation calculation method of involute cylindrical gear based on NURBS curve fitting is adopted.Firstly,the theoretical mathematical model of tooth profile error of involute cylindrical gear is established.Then,according to the NURBS curve fitting principle and the tooth profile coordinate points measured by CMM,the fitting of actual tooth profile curve and theoretical tooth profile curve is realized by Matlab programming.Combined with the involute equivalent fitting method,the tooth profile deviation of gear is calculated.The fitting results show that NURBS curve has high precision,small error and good fitting effect.The calculation results of tooth profile deviation show that the tooth profile deviation based on NURBS curve fitting is consistent with the measured values,which shows that this method is accurate and effective.

关键词

渐开线齿轮/NURBS曲线拟合/齿形偏差/三坐标测量机

Key words

involute gear/NURBS curve fitting/tooth profile deviation/three coordinate measuring machine

分类

数理科学

引用本文复制引用

晏婷,杨光永,于元滐,戈一航,徐天奇..基于NURBS曲线拟合的渐开线圆柱齿轮齿形偏差计算[J].计算机与数字工程,2024,52(2):332-336,5.

计算机与数字工程

OACSTPCD

1672-9722

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