Concavity and Tooth Undercutting of High-order Deformed Eccentric Conjugate Non-circular Gears

China Mechanical Engineering ›› 2014, Vol. 25 ›› Issue (22): 3028-3033.

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Concavity and Tooth Undercutting of High-order Deformed Eccentric Conjugate Non-circular Gears

Chen Jianneng1;Ye Jun1;Zhao Huacheng1;Xu Gaohuan1;Wang Ying2

1.Zhejiang Province Key Laboratory of Transplanting Equipment and Technology,Zhejiang Sci-Tech University, Hangzhou, 310018
2.Ningbo University,Ningbo,Zhejiang,315211

Online:2014-11-25 Published:2014-11-28
Supported by:
National Natural Science Foundation of China（No. 51275481）;Research Fund for the Doctoral Program of Higher Education of China（No. 20123318110001）

高阶变性偏心共轭非圆齿轮的凹凸性及根切判别

陈建能1;叶军1;赵华成1;徐高欢1;王英2

1.浙江理工大学浙江省种植装备技术重点实验室,杭州,310018
2.宁波大学,宁波,315211

基金资助:
国家自然科学基金资助项目（51275481）；高等学校博士学科点专项科研基金（博导类）资助项目（20123318110001）；浙江理工大学科研创新团队专项

Abstract

Abstract:

A novel non-circular gear form named high-order deformed eccentric conjugate non-circular gears was proposed to meet the requirements of more asymmetric transmission ratio changing in a circle. And the pitch curve equations of high-order deformed eccentric conjugate non-circular gears were established. On the basis of the theory of differential geometry, the concavity distinguishing conditions referred to pitch curves of driving gear and driven gear were deduced. The relationship between the gear modulus and minimal radius of curvature in pitch curve was obtained without tooth undercutting in the process. The design and simulation software of high-order deformed eccentric conjugate non-circular gears was compiled based on VB, and was verified with the examples.

Key words: high-order deformation, eccentric gear, concavity, tooth undercutting

摘要：

为满足一个运动周期内传动比有多个非对称变化的要求,提出了一种新型非圆齿轮形式——高阶变性偏心共轭非圆齿轮，建立了高阶变性偏心共轭非圆齿轮节曲线方程。依据微分几何原理,推导建立了主从动轮节曲线的凹凸性判别条件和加工过程中不发生根切时齿轮模数与节曲线最小曲率半径之间的关系。运用VB语言编写了高阶变性偏心共轭非圆齿轮的设计与仿真程序，并通过算例予以验证。

关键词: 高阶变性, 偏心齿轮, 凹凸性, 根切校验

CLC Number:

TH132.41

Chen Jianneng, Ye Jun, Zhao Huacheng, Xu Gaohuan, Wang Ying. Concavity and Tooth Undercutting of High-order Deformed Eccentric Conjugate Non-circular Gears[J]. China Mechanical Engineering, 2014, 25(22): 3028-3033.

陈建能, 叶军, 赵华成, 徐高欢, 王英. 高阶变性偏心共轭非圆齿轮的凹凸性及根切判别[J]. 中国机械工程, 2014, 25(22): 3028-3033.

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Concavity and Tooth Undercutting of High-order Deformed Eccentric Conjugate Non-circular Gears

高阶变性偏心共轭非圆齿轮的凹凸性及根切判别

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