Study on Processing of Spiral Bevel Gear for High-order Motion of CNC Axes Using Completing Method

耿龙龙; 聂少武; 蒋闯; 邓效忠

doi:10.13433/j.cnki.1003-8728.20230105

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Study on Processing of Spiral Bevel Gear for High-order Motion of CNC Axes Using Completing Method

更新时间：2026-07-10

- Study on Processing of Spiral Bevel Gear for High-order Motion of CNC Axes Using Completing Method
- Mechanical Science and Technology for Aerospace Engineering Vol. 43, Issue 10, Pages: 1770-1777(2024)
- 作者机构：
  
  1. 河南科技大学机电工程学院,河南,洛阳,471003
  2. 河南科技大学机构机械装备河南省协同创新中心,河南,洛阳,471003
- 作者简介：
- 基金信息：
- DOI：10.13433/j.cnki.1003-8728.20230105
  CLC： TG61
- Published：2024
- 稿件说明：
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耿龙龙, 聂少武, 蒋闯, et al. Study on Processing of Spiral Bevel Gear for High-order Motion of CNC Axes Using Completing Method[J]. Mechanical Science and Technology for Aerospace Engineering, 2024, 43(10): 1770-1777.
DOI：

耿龙龙, 聂少武, 蒋闯, et al. Study on Processing of Spiral Bevel Gear for High-order Motion of CNC Axes Using Completing Method[J]. Mechanical Science and Technology for Aerospace Engineering, 2024, 43(10): 1770-1777. DOI： 10.13433/j.cnki.1003-8728.20230105.

摘要

为解决弧齿锥齿轮全工序法加工齿面误差修正的难题

本文将开展高阶数控运动轴的弧齿锥齿轮全工序法加工研究。首先由刀具和工件的相对空间位置关系完成了传统摇台式机床调整参数到全数控机床运动轴的等效转换

并通过泰勒展开的方法获得了数控机床运动轴6阶表达式; 随后推导了6阶多项式表达的齿面方程

分析了多项式系数对齿面拓扑结构的影响。结果表明

同等量的系数变化

随着系数的阶次增高

对齿面偏差影响的程度变小。建立了多项式系数对齿面误差影响的敏感性矩阵

对工作面与非工作面引入权重系数构建了齿面误差协同修正模型。最后通过算例进行了实验验证

经修正后齿面误差得到有效减小。本文的研究为弧齿锥齿轮全工序法加工修正提供了方法

同时本方法也适用于弧齿锥齿轮其他的加工方式。

Abstract

To solve the tooth surface error correction in processing of spiral bevel gears by using completing method

a method for high-order motion of CNC axes is studied. Firstly

the equivalent transformation between the traditional cradle-type model and the CNC model was accomplished according to the relative position of milling cutter and workpiece

and the motion of axes were represented as sixth-order polynomial; then the tooth surface was expressed by sixth-order polynomial

the influence of the coefficients on the tooth surface were researched. The results showed that the influence decreased as the order increased in the same variation. A weight coefficient is introduced and a cooperative correction model for tooth surface is constructed to decrease the tooth surface error based on the sensitivity matrix of coefficient. Finally

a numerical example was carried out to verify the present method and results showed which it's effective and feasible. The present method can also be applied to process the spiral bevel gear in other methods.

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