华南理工大学学报(自然科学版) ›› 2014, Vol. 42 ›› Issue (12): 77-83.doi: 10.3969/j.issn.1000-565X.2014.12.012

• 机械工程 • 上一篇    下一篇

基于齿面印痕偏移的弧齿锥齿轮安装错位识别

蔡香伟1 方宗德1†苏进展2   

  1. 1. 西北工业大学 机电学院,陕西 西安 710072; 2. 长安大学 道路施工技术与装备教育部重点实验室,陕西 西安 710064
  • 收稿日期:2014-03-24 修回日期:2014-09-01 出版日期:2014-12-25 发布日期:2014-11-17
  • 通信作者: 方宗德(1948-),男,教授,博士生导师,主要从事曲齿锥齿轮先进设计与检测研究. E-mail:fauto@nwpu.edu.cn
  • 作者简介:蔡香伟(1987-),男,博士生,主要从事机械设计与机械传动研究.E-mail:caixiangwei@163.com
  • 基金资助:

    国家自然科学基金资助项目(51175423,51205310,51375384)

Misalignment Identification of Spiral Bevel Gears Based on Contact Pattern Shift

Cai Xiang-wei1 Fang Zong-de1 Su Jin-zhan2   

  1. 1.School of Mechanical Engineering,Northwestern Polytechnical University,Xi'an 710072,Shaanxi,China;2.Key Laboratory of Road Construction Technology and Equipment of the Ministry of Education,Xi'an 710072,Shaanxi,china
  • Received:2014-03-24 Revised:2014-09-01 Online:2014-12-25 Published:2014-11-17
  • Contact: 方宗德(1948-),男,教授,博士生导师,主要从事曲齿锥齿轮先进设计与检测研究. E-mail:fauto@nwpu.edu.cn
  • About author:蔡香伟(1987-),男,博士生,主要从事机械设计与机械传动研究.E-mail:caixiangwei@163.com
  • Supported by:

    国家自然科学基金资助项目(51175423,51205310,51375384)

摘要: 为计算弧齿锥齿轮副在工况下的安装错位,研究了可导致相同齿面印痕的不同安装错位组合之间的关系. 分析表明:它们之间存在等价关系;对于安装错位的识别,只要计算一组等效值即可,无需确定精确解. 提取齿面印痕的数值特征,以两接触轨迹曲线的偏差和最小为目标函数,通过优化方法计算当量安装错位. 最后以一对弧齿锥齿轮副为例验证识别算法的精度以及当量安装错位的有效性.

关键词: 弧齿锥齿轮, 齿面印痕偏移, 安装错位, 多解性, 等效

Abstract:

In order to calculate the misalignment of spiral bevel gears in the working conditions,the relationshipamong different groups of misalignment which lead to the same contact pattern is analyzed.It is found that thesegroups of misalignment are equivalent,and the misalignment identification can be solved by getting only one equi-valent solution without exact calculation.Then,the digital features of contact pattern are extracted,and the equiva-lent misalignment is obtained using an optimal method by means of minimizing the sum of two contact path devia-tions as the objective function.Finally,the precision of the identification algorithm and the effectiveness of theequivalent misalignment are verified by taking a couple of spiral bevel gears as an example.

Key words: spiral bevel gear, contact pattern shift, misalignment, multiple solution, equiralent