改进的6σ设计的螺旋锥齿轮加工参数反调修正方法

彭山东 1; 丁撼 1; 2; 唐进元 1; 2

doi:10.7652/xjtuxb201906006

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改进的6σ设计的螺旋锥齿轮加工参数反调修正方法

更新时间：2025-07-09

- 改进的6σ设计的螺旋锥齿轮加工参数反调修正方法
- Corrected Calculation of Machine Settings for Spiral Bevel and Gears Using an Improved 6σ Method
- 西安交通大学学报 2019年53卷第6期页码：35-43
- 作者机构：
  
  1. 中南大学高性能复杂制造国家重点实验室,长沙,410083
  2. 中南大学机电工程学院,长沙,410083
- 作者简介：
- 基金信息：
  
  : 2018-12-27。作者简介: 彭山东(1994—),男,硕士生;唐进元(通信作者),男,教授,博士生导师。基金项目: 国家自然科学基金重点资助项目(51535012,U1604255);湖南省重点研发计划资助项目(2016JC2001)
- DOI：10.7652/xjtuxb201906006
  中图分类号： TH132
- 网络首发：2019-06-10，
  
  纸质出版：2019
- 稿件说明：
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彭山东 1, 丁撼 1, 2, 等. 改进的6σ设计的螺旋锥齿轮加工参数反调修正方法[J]. 西安交通大学学报, 2019,53(6):35-43.

Corrected Calculation of Machine Settings for Spiral Bevel and Gears Using an Improved 6σ Method[J]. 2019, 53(6): 35-43.
彭山东 1, 丁撼 1, 2, 等. 改进的6σ设计的螺旋锥齿轮加工参数反调修正方法[J]. 西安交通大学学报, 2019,53(6):35-43. DOI： 10.7652/xjtuxb201906006.

Corrected Calculation of Machine Settings for Spiral Bevel and Gears Using an Improved 6σ Method[J]. 2019, 53(6): 35-43. DOI： 10.7652/xjtuxb201906006.

摘要

针对螺旋锥齿轮传统加工参数反调过程中存在的多个加工参数之间的耦合作用难以控制、求解的反调量无实际意义等问题

提出了改进的6σ设计的螺旋锥齿轮加工参数反调修正计算方法。该方法考虑精确齿面几何形貌与齿面接触性能的协调优化

建立了螺旋锥齿轮形性协同制造的多目标反调优化(MOO)模型

计算了接触点位置处齿面误差对加工参数的敏感性系数; 根据敏感性系数求得对齿面误差影响较大的加工参数的反调修正量; 利用加工参数反调量

通过加载接触分析(LTCA)计算得到齿面加载接触性能评价项

减少了多个加工参数之间不必要的耦合作用对齿面接触性能的影响。计算结果表明:与不考虑敏感性系数的参数反调方法相比

该方法求解的齿面ease-off的最大值和最小值均至少减小2 μm

且齿面接触性能评价项都满足给定的要求

进一步证明了该方法的可靠性与实用性。

Abstract

An inverse calculation method of correction parameters for machine settings based on the design for 6σ is proposed to focus on the problem that the coupling among parameters for machine settings is difficult to control in the process of correction for spiral bevel gears and the resulting correction parameters have no practical significance. The method considers the coordination optimization between the precise tooth surface geometry and the tooth contact performance

and establishes a multi-objective optimization(MOO)model of collaborative manufacturing considering both geometric and physical performance for spiral bevel gears. The sensitivity coefficient of the tooth surface error at contact points to the machining settings is calculated

and then the sensitivity coefficient is used to obtain inverse corrections for the machining parameters that have great influence on the tooth surface error. Finally

the inverse corrections for machining parameters are used to obtain the loaded tooth contact performance through the loaded tooth contact analysis(LTCA)

and the influence of unnecessary coupling among machine settings on the tooth contact performance is reduced. The calculation results and a comparison with the correction method of machine tool settings without considering the sensitivity coefficient show that both the maximum value and the minimum value of the ease-off obtained by the proposed method are reduced by at least 2 μm

and the loaded tooth contact performance items meet given requirements

which verifies the reliability and practicability of the proposed method.

关键词

Keywords

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