A novel harmonic drive with the full conjugate tooth profile

IF 1.8 4区工程技术 Q3 ENGINEERING, MECHANICAL Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science Pub Date : 2024-07-26 DOI:10.1177/09544062241262654

Ran Xie, Yuhu Yang, Guocheng Zhou, Ben Gao, Yunlei Jiao, Ruijiang Yu

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Abstract

This paper presents an approach for designing a novel tooth profile of harmonic drives, which is composed of two pieces of curves, hypocycloid and epicycloid, generated by the rolling circles with appropriate radii. Compared with the conventional double-circular-arc or cycloidal tooth profile of harmonic drives, the tooth profile is characterized by full conjugation, more number of engaged teeth, and can be expressed analytically, etc. Firstly, the generation of the cycloids are briefly described, and then their conjugate criterion is investigated systematically based on Camus’s theorem. Secondly, the tooth profile equations for the circular spline and flexspline are established and the deformed neutral curve equation is derived. Next, the contact properties among the tooth profiles, including the line of action, meshing angle, etc., are studied systematically. Finally, a finite element model and a physical prototype for the harmonic drive with the tooth profile are developed, respectively. The effectiveness of the design method is verified by the contact performances simulation. The research may provide a new thought for the innovative design of harmonic drives with full conjugate tooth profile.

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具有全共轭齿廓的新型谐波驱动装置

本文提出了一种设计谐波传动新型齿廓的方法，它由具有适当半径的滚动圆产生的下摆线和上摆线两段曲线组成。与传统的谐波传动双圆弧齿廓或摆线齿廓相比，该齿廓具有全共轭、啮合齿数更多、可分析表达等特点。首先，简要介绍了摆线齿的产生，然后根据卡缪定理系统地研究了其共轭准则。其次，建立了圆花键和挠性花键的齿廓方程，并推导出变形中性曲线方程。接着，系统研究了齿形之间的接触特性，包括作用线、啮合角等。最后，分别建立了齿廓谐波传动的有限元模型和物理原型。通过接触性能仿真验证了设计方法的有效性。该研究可为全共轭齿形谐波传动装置的创新设计提供新思路。

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来源期刊

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 工程技术-工程：机械

CiteScore

3.80

自引率

10.00%

发文量

625

审稿时长

4.3 months

期刊介绍： The Journal of Mechanical Engineering Science advances the understanding of both the fundamentals of engineering science and its application to the solution of challenges and problems in engineering.