复合摆线少齿差行星传动的啮合性能分析

doi:10.3969/j.issn.1000-565X.2017.02.010

华南理工大学学报（自然科学版） ›› 2017, Vol. 45 ›› Issue (2): 66-74.doi: 10.3969/j.issn.1000-565X.2017.02.010

复合摆线少齿差行星传动的啮合性能分析

石万凯徐浪韩振华常帅

重庆大学机械传动国家重点实验室，重庆 400044

收稿日期:2016-06-12 修回日期:2016-08-24 出版日期:2017-02-25 发布日期:2016-12-31
通信作者: 石万凯( 1968-) ，男，博士，教授，主要从事机械创新设计理论与方法、齿轮传动润滑与表面工程、传动失效机理研究． E-mail:wankai_shi@cqu.edu.cn
作者简介:石万凯( 1968-) ，男，博士，教授，主要从事机械创新设计理论与方法、齿轮传动润滑与表面工程、传动失效机理研究．
基金资助:
国家重点基础研究发展计划( 973 计划) 项目( 2014CB046304) ; 国家自然科学基金资助项目( 51675061)

Analysis of Meshing Properties of Composite Cycloid Planetary Driving with Small Teeth Difference

SHI Wan-kai XU Lang HAN Zhen-hua CHANG Shuai

State Key Laboratory of Mechanical Transmission,Chongqing University 400044,Chongqing,China

Received:2016-06-12 Revised:2016-08-24 Online:2017-02-25 Published:2016-12-31
Contact: 石万凯( 1968-) ，男，博士，教授，主要从事机械创新设计理论与方法、齿轮传动润滑与表面工程、传动失效机理研究． E-mail:wankai_shi@cqu.edu.cn
About author:石万凯( 1968-) ，男，博士，教授，主要从事机械创新设计理论与方法、齿轮传动润滑与表面工程、传动失效机理研究．
Supported by:
Supported by the National Program on Key Basic Research Project of China( 973 Program) ( 2014CB046304 )and the National Natural Science Foundation of China( 51675061)

摘要/Abstract

摘要： 采用几何特性可调性强的复合摆线作为内齿廓，根据微分几何和齿轮啮合原理，按照少齿差运动规律，建立啮合方程以及共轭齿廓方程，并推导了齿轮副的啮合线、重合
度、啮合界限、根切条件．分析了齿轮副诱导法曲率、压力角以及齿形调节系数对齿轮压力角的影响，设计并建立了齿轮副三维实体模型，进行了动力学仿真，模拟一定工况下齿轮副运动关系及传递效率．结果表明，复合摆线少齿差行星传动具有多齿啮合、传动压力角小、齿轮副诱导法曲率小、传动效率高等优良的啮合性能．

关键词: 复合摆线, 少齿差, 行星传动, 啮合原理, 啮合性能

Abstract:

By using the composite cycloid with good adjustable geometric feature as the internal gear tooth profile and on the basis of differential geometry and gear conjugate engagement theory,a meshing equation and a conjugate profile equation of composite cycloid planetary driving with small teeth difference are established,and the line of action,the contact ratio,the mesh boundary as well as the non-undercutting condition are all derived.Then,the induced normal curvature and the pressure angle are analyzed,and the influence of tooth profile adjustment coefficient on the pressure angle is discussed.Finally,a three-dimension solid model of the composite cycloid gear pairs is established,and a dynamic simulation is performed to reveal the meshing relationship as well as the transmission efficiency under certain conditions.The results show that the composite cycloid planetary driving with small teeth difference may result in excellent meshing properties such as multi-teeth meshing,small pressure angle,small induced normal curvature and high transmission efficiency.

Key words: composite cycloid, small teeth difference, planetary transmission, engagement theory, meshing properties

中图分类号:

THl32

石万凯徐浪韩振华常帅. 复合摆线少齿差行星传动的啮合性能分析[J]. 华南理工大学学报（自然科学版）, 2017, 45(2): 66-74.

SHI Wan-kai XU Lang HAN Zhen-hua CHANG Shuai. Analysis of Meshing Properties of Composite Cycloid Planetary Driving with Small Teeth Difference[J]. Journal of South China University of Technology (Natural Science Edition), 2017, 45(2): 66-74.

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复合摆线少齿差行星传动的啮合性能分析

Analysis of Meshing Properties of Composite Cycloid Planetary Driving with Small Teeth Difference

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