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工程设计学报
工程设计学报  2016, Vol. 23 Issue (6): 571-577    DOI: 10.3785/j.issn.1006-754X.2016.06.008
建模、分析、优化和决策     
曲线齿线圆柱齿轮啮合数学模型
李琴1, 张祺1,2
1. 攀枝花学院 机械工程学院, 四川 攀枝花 617000;
2. 四川大学 制造科学与工程学院, 四川 成都 610065
Meshing mathematical model of cylindrical gear with curvilinear shape
LI Qin1, ZHANG Qi1,2
1. School of Mechanical Engineering, Panzhihua University, Panzhihua 617000, China;
2. School of Manufacturing Science and Engineering, Sichuan University, Chengdu 610065, China
 全文: PDF(780 KB)   HTML
摘要：

参照圆弧齿线圆柱齿轮齿面方程的推导方法以及齿面组成特点，介绍了一类曲线齿线圆柱齿轮的齿面组成特点.采用齿轮啮合原理中的单参数曲面包络方法，运用坐标变换推导了曲线齿线圆柱齿轮的数学方程和共轭齿面方程的一般形式.以圆弧齿线圆柱齿轮的齿面方程推导为例，推导了圆弧齿线圆柱齿轮的空间啮合数学模型，并采用UG建模软件建立了圆弧齿线圆柱齿轮的3D模型，验证了该方法的正确性.研究结果为进一步开展新型齿线的设计、新型曲线齿线圆柱齿轮传动研究提供了理论基础.
关键词： 曲线齿线圆柱齿轮;  齿面方程;  包络;  圆弧齿线圆柱齿轮    
Abstract:

According to the tooth surface equation of arc cylindrical gear and the characteristic of tooth surface composition, the tooth composition characteristics of a class of cylindrical gear with curvilinear shape were presented. One-parameter surface enveloping method in gear meshing principle was used, and the general mathematical equations and conjugate tooth surface equation were deduced by coordinate transformation. Taking the tooth surface equation derivation of arc cylindrical gear as an example, the space meshing mathematical model of arc cylindrical gear was derived. In order to validate the correctness of this method, the three-dimensional model of arc cylindrical gear was established by UG software. The study results offer theoretical supports for new tooth line design and studies on new cylindrical gear with curvilinear shape.
Key words: cylindrical gear with curvilinear shape    tooth surface equation    envelope    arc cylindrical gear
收稿日期: 2016-05-04 出版日期: 2016-12-28
CLC:  TH132  
基金资助:

国家自然科学基金资助项目（51375320）.
作者简介: 李琴(1977-),女,四川成都人,副教授,硕士,从事机电一体化、先进制造技术等研究,E-mail:liqin103@126.com.http://orcid.org//0000-0002-4043-3877
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引用本文:

李琴, 张祺. 曲线齿线圆柱齿轮啮合数学模型[J]. 工程设计学报, 2016, 23(6): 571-577.

LI Qin, ZHANG Qi. Meshing mathematical model of cylindrical gear with curvilinear shape. Chinese Journal of Engineering Design, 2016, 23(6): 571-577.

链接本文:

https://www.zjujournals.com/gcsjxb/CN/10.3785/j.issn.1006-754X.2016.06.008    或    https://www.zjujournals.com/gcsjxb/CN/Y2016/V23/I6/571

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