内齿轮刮齿刀修形设计及优化

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内齿轮刮齿刀修形设计及优化

更新时间：2025-07-09

- 内齿轮刮齿刀修形设计及优化
- Issue 11, Pages: 147-153(2021)
- 作者机构：
  
  长安大学道路施工技术与装备教育部重点实验室
- 作者简介：
- 基金信息：
- DOI：
  CLC： TH132.41
- Published：2021
- 稿件说明：
移动端阅览
[J]. 2021, (11): 147-153.
DOI：

[J]. 2021, (11): 147-153. DOI：

摘要

为了降低内齿轮刮齿的原理性误差

提出了一种刮齿刀修形设计新方法。从具有齿廓修形的齿条刀出发

结合变位渐开线斜齿轮的展成原理

推导了连续变位刮齿刀的齿面方程;联立刮齿刀齿面和前刀面方程

求解刮齿刀切削刃的数学表达式

根据双自由度包络理论和齐次坐标变换

建立内齿轮的刮齿模型

获得内齿轮齿面方程。算例表明

刮齿刀的变位方式、前角和螺旋角是造成原理性误差的主要影响因素;相比于公式法

基于修形齿条刀法的切削刃更接近于反向包络法的切削刃;建立以齿面偏差平方和最小为目标函数

通过优化齿条刀的齿廓修形系数

能够将齿面偏差最大值从18μm降低到3μm

有效地减小原理性误差。此研究可为刮齿刀设计提供一种更简单、精度更高的新方法。

Abstract

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references

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