次摆线滚轮齿条传动齿形综合研究

张鹏; 张芸; 张玉华; 鲍兵兵

doi:10.13433/j.cnki.1003-8728.2017.0511

次摆线滚轮齿条传动齿形综合研究

doi: 10.13433/j.cnki.1003-8728.2017.0511

1.
安徽工业大学机械工程学院, 安徽马鞍山 243032

基金项目:

国家自然科学基金项目（51405003）资助

详细信息

作者简介:
张鹏(1981-),讲师,博士,研究方向为齿轮动力学和精密齿轮传动,pengzhang1980@aliyun.com

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- 被引次数: 0
出版历程
- 收稿日期: 2015-11-13
- 刊出日期: 2017-05-05

Research on Tooth Profile Synthesis of Trochoidal Roller Pinion Rack Transmission

1.
School of Mechanical Engineering, Anhui University of Technology, Anhui Maanshan 243032, China

摘要

摘要: 面向机器人移动系统对高精度、高速及大行程传动装置的需求，针对次摆线滚轮齿条传动的齿形理论及啮合特性进行了综合研究。首先，依据次摆线生成原理，综合考虑滚柱-次摆线齿啮合规律，建立了次摆线理论齿形方程、实际齿形方程及齿形曲率方程、曲率半径方程；其次，基于次摆线齿形曲率半径变化规律，结合滚柱与摆线齿啮合过程分析，推导出齿廓不根切条件、压力角及传动重合度计算公式；最后，给出算例，通过三维建模与啮合仿真，验证了前述理论推导的正确性。研究结果表明，采用次摆线齿形，合理选择结构参数，可有效解决摆线滚轮齿条传动的齿廓根切问题，增大传动重合度。
- 滚轮 /
- 齿条传动 /
- 次摆线 /
- 齿形综合 /
- 啮合特性
Abstract: It is important to meet drive requirements of the high precision, high speed and long-stroke for robotic driving system. An investigation on the theory of tooth profile and meshing characteristics of a new type of trochoidal roller pinion rack transmission was made in this paper. Firstly, based on forming principle of the trochoidal and meshing rule, the theoretic and practical tooth profile equations were derived, and the changes of curvature and curvature radius of the trochoidal tooth profile were analyzed. Then, according to the analysis and meshing principle, the undercut condition of practical tooth profile was concluded, and the calculating formulae of the pressure angle and contact ratio were established. Finally, an example was given, and the validity of theoretical deduction was proved by three-dimensional modeling and mesh simulation. The results show that, by choosing the trochoidal tooth and reasonable structural parameters in design, the undercutting phenomenon was solved and the contact ratio was increased.
- roller pinion /
- rack driving /
- trochoid /
- tooth profile synthesis /
- meshing characteristic

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参考文献(15)

[1]	Kliber T. Linear actuators that keep on rolling:roller-pinion systems are a better option than rack and pinions where accuracy and a minimum of friction are important[J]. Machine Design, 2011,83(11):68-69
[2]	李朝阳,胡恒广,王丽红.简析滚轮齿条在直线运动机构中的优势[J].价值工程,2013,(14):38-39 Li C Y, Hu H G, Wang L H. Analysis of advantages of TCG Runner in straight-line motion mechanism[J]. Value Engineering, 2013,(14):38-39(in Chinese)
[3]	Kwon S M. Roller track gear system design based on roller gear mechanism[J]. Journal of the Korean Society of Manufacturing Technology Engineers, 2014,23(2):194-198
[4]	世进IGB株式会社.动力传动装置:中国, 201080025751.9[P].2010-05-04 Sejin IGB Corporation. Power Transmission Device:China, 201080025751.9[P]. 2010-05-04(in Chinese)
[5]	邹吉东.销齿摆线齿轮样板齿廓的计算机辅助设计[J].沈阳工业大学学报, 2004,26(3):243-246 Zou J D. CAD of tooth profile of cycloid gear template[J]. Journal of Shenyang University of Technology, 2004,26(3):243-246(in Chinese)
[6]	Terada H, Makino H, Imase K. Fundamental analysis of linear type trochoid gear (1st report) motion principle of trochoid cam rack[J]. Journal of the Japan Society for Precision Engineering, 1997,63(11):1609-1613
[7]	Spitas C, Spitas V. A FEM study of the bending strength of circular fillet gear teeth compared to trochoidal fillets produced with enlarged cutter tip radius[J]. Mechanics Based Design of Structures and Machines, 2007,35(1):59-73
[8]	Sankar S, Nataraj M. Profile modification-a design approach for increasing the tooth strength in spur gear[J]. The International Journal of Advanced Manufacturing Technology, 2011,55(1-4):1-10
[9]	薛云娜,王勇,王宪伦.新型摆线传动的共轭啮合机理[J].山东大学学报(工学报),2005,35(4):26-29 Xue Y N, Wang Y, Wang X L. Conjugate meshing mechanism of cycloid drive[J]. Journal of Shandong University (Engineering Science), 2005,35(4):26-29(in Chinese)
[10]	北京工业大学.可消隙锥形齿滚销-次摆线齿条传动装置:中国,201310000579.7[P].2013-04-24 Bejing University of Technology. Conical Pin Roller without Backlash-Trochoidal Rack Transmission Device:China, 201310000579.7[P]. 2013-01-02(in Chinese)
[11]	吴序堂.齿轮啮合原理[M].第2版.西安:西安交通大学出版社,2009 Wu X T. Gear Meshing Principle[M]. 2 edition. Xi'an:Xi'an Jiaotong University Press, 2009.3(in Chinese)
[12]	杨作梅,安子军,张鹏.基于空间啮合理论的摆线钢球行星传动根切研究[J].农业机械学报,2009,40(10):216-222 Yang Z M, An Z J, Zhang P. Research on undercutting in Cyloid ball planetary transmission based on space meshing theory[J]. Transactions of the Chinese Society for Agricultural Machinery, 2009,40(10):216-222(in Chinese)
[13]	邹旻.圆弧齿线圆柱齿轮根切问题的研究[J].机械科学与技术,2002,21(3):355-357 Zou M. A Study on undercut for curvilinear cylindrical Gear[J]. Mechanical Science and Technology, 2002,21(3):355-357(in Chinese)
[14]	曾星.销齿轮传动重合度的解析计算及齿顶圆区间确定[J].机械传动, 2013, 37(4):125-128 Zeng X. Analytical calculation for contact ratio of pin gear and determination of addendum circle range[J]. Journal of Mechanical Transmission, 2013,37(4):125-128(in Chinese)
[15]	高东强,王伟.摆线钢球行星传动机构设计与仿真分析[J].陕西科技大学学报,2014,32(6):139-144,150 Gao D Q, Wang W. The structural design and simulation analysis of the cycloid ball planetary transmission mechanism[J]. Journal of Shaanxi University of Science & Technology, 2014,32(6):139-144,150(in Chinese)