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Complex geometric modeling and tooth contact analysis of a helical face gear pair with arc-tooth

直升机用弧齿面齿轮副的复杂几何建模及其齿面接触分析

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Abstract

A complex geometric modeling method of a helical face gear pair with arc-tooth generated by an arc-profile cutting (APC) disc is proposed, and its tooth contact characteristics are analyzed. Firstly, the spatial coordinate system of an APC face gear pair is established based on meshing theory. Combining the coordinate transformation matrix and the tooth profile of the cutter, the equations of the curve envelope of the APC face gear pair are obtained. Then the surface equations are solved to extract the point clouds data by programming in MATLAB, which contains the work surface and the fillet surface of the APC face gear pair. And the complex geometric model of the APC face gear pair is built by fitting its point clouds. At last, through the analysis of the tooth surface contact, the sensitivity of the APC face gear to the different types of mounting errors is obtained. The results show that the APC face gear pair is the most sensitive to mounting errors in the tooth thickness direction, and it should be strictly controlled in the actual application.

摘要

本文提出了一种直升机用弧齿面齿轮副的复杂几何模型建模方法, 并对其进行了齿面接触分析. 首先, 基于啮合原理, 建立了齿轮副啮合的空间坐标系, 推导了刀具的齿面方程, 并得到了齿轮副的曲面包络族方程. 然后, 根据约束条件, 使用啮合方程求解齿轮副的工作曲面和过渡曲面的点云坐标, 并拟合点云以获得弧齿面齿轮副的复杂三维模型. 最后, 通过对弧齿面齿轮副的齿面接触分析, 研究了其在不同类型安装误差下的敏感程度. 结果表明; 弧齿面齿轮副对沿齿厚方向引入的安装误差最为敏感, 在实际应用中应当严格控制.

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Authors and Affiliations

  1. School of Mechanical Engineering, Tiangong University, Tianjin, 300387, China

    Shuai Mo  (莫帅), Wen-hao Song  (宋文浩), Sheng-ping Zhu  (朱晟平), Zhi-you Feng  (冯志友) & Wen-jie Tang  (唐文杰)

  2. Tianjin Key Laboratory of Modern Electromechanical Equipment Technology, Tianjin, 300387, China

    Shuai Mo  (莫帅), Wen-hao Song  (宋文浩), Sheng-ping Zhu  (朱晟平), Zhi-you Feng  (冯志友) & Wen-jie Tang  (唐文杰)

  3. State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, 430074, China

    Shuai Mo  (莫帅)

  4. The State Key Laboratory of Virtual Reality Technology and Systems, Beijing University of Aeronautics and Astronautics, Beijing, 100083, China

    Han-jun Gao  (高瀚君)

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  1. Shuai Mo  (莫帅)
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  6. Han-jun Gao  (高瀚君)
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Corresponding author

Correspondence to Shuai Mo  (莫帅).

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Foundation item

Project(51805368) supported by the National Natural Science Foundation of China; Project(2018QNRC001) supported by the Young Elite Scientists Sponsorship Program, China; Project(DMETKF2021017) supported by the Fund of State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, China; Project(HTL-0-21G07) supported by the National key Laboratory of Science and Technology on Heicopter Transmission, China

Contributors

MO Shuai provided the concept, designed the project and performed data analysis. SONG Wen-hao wrote the paper, and carried out data processing. ZHU Sheng-ping performed data analysis, and contributed to the paper writing. TANG Wen-jie contributed to the data analysis. FENG Zhi-you and GAO Han-jun contributed to the paper revising.

Conflict of interest

MO Shuai, SONG Wen-hao, ZHU Sheng-ping, FENG Zhi-you, TANG Wen-jie, and GAO Han-jun declare that they have no conflict of interest.

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Mo, S., Song, Wh., Zhu, Sp. et al. Complex geometric modeling and tooth contact analysis of a helical face gear pair with arc-tooth. J. Cent. South Univ. 29, 1213–1225 (2022). https://doi.org/10.1007/s11771-022-4988-7

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  • DOI: https://doi.org/10.1007/s11771-022-4988-7

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