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关于渐开线标准直齿圆柱齿轮重合度的深入认识

Deep understanding of contact ratio about involute standard straight cylinder gear

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【作者】 唐文艳俞爱林成思源夏鸿建李苏洋张晓伟

【Author】 TANG Wen-yan;YU Ai-lin;CHENG Si-yuan;XIA Hong-jian;LI Su-yang;ZHANG Xiao-wei;Department of Mechanical Design,School of Electro-mechanical Engineering,Guangdong University of Technology;

【机构】 广东工业大学机电工程学院机械设计系

【摘要】 根据在教学过程中,学生对重合度知识点的理解存在疑惑,有必要对重合度相关知识进行梳理。根据齿轮传动重合度的基本要求,阐述重合度传统的计算公式,并由此分析满足正确啮合条件的渐开线标准直齿圆柱齿轮最小的重合度;经对传统重合度公式的分析推导,得到新的重合度公式,并由此分析得出非标准安装时重合度下降,并且为保障齿轮连续传动,严格控制中心距的相对误差;根据高等数学的知识对重合度的极值进行详细分析,当两齿轮的齿数趋于无穷大时,重合度达到极大值。

【Abstract】 In the teaching process, it’s hard for the students to understand the knowledge point of contact ratio, so it’s necessary to comb the related knowledge of the contact ratio. According to the basic requirement of contact ratio in gear drive, the traditional equation about contact ratio is expanded, the minimum of contact ratio is analyzed in involute standard straight gears satisfying the correct meshing condition. the new equation of contact ratio is given on the basis of analyzing the traditional one,and the contact ratio for nonstandard installation gear is reduced, so the relative error of center distance must be controlled to ensure gear continuous transmission. In the end,the extremum of contact ratio is gotten according to the knowledge of higher mathematics. When both of tooth numbers tend to infinity, the maximum of contact ratio is obtained.

【关键词】 渐开线直齿轮重合度
【Key words】 involute straight gearcontact ratio
【基金】 2016年度广东省本科高校高等教育教学改革资助项目(粤教高函[2016]236号);广东省本科高校教学质量与教学改革工程建设资助项目(粤教高函[2016]233号);广州市高校创新创业教育资助项目(20170422)
  • 【文献出处】 机械设计 ,Journal of Machine Design , 编辑部邮箱 ,2018年S2期
  • 【分类号】TH132.41-4;G642
  • 【被引频次】2
  • 【下载频次】203
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