Research on Digital Design and Tooth Shape Optimization of Non-circular Gears Based on Envelope Features

Yongping Liu; Beibei Yun; Yongqiao Wei; Changbin Dong; Zhongtao Ren

doi:10.16578/j.issn.1004.2539.2022.08.009

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Research on Digital Design and Tooth Shape Optimization of Non-circular Gears Based on Envelope Features

Design· Calculation | 更新时间：2022-09-23

- Research on Digital Design and Tooth Shape Optimization of Non-circular Gears Based on Envelope Features
- Journal of Mechanical Transmission Vol. 46, Issue 8, Pages: 55-60(2022)
- 作者机构：
  
  1.兰州理工大学机电工程学院，甘肃兰州 730050
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2022.08.009
  CLC：
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刘永平,员贝贝,魏永峭等.基于包络特征的非圆齿轮数字化设计与齿形优化研究[J].机械传动,2022,46(08):55-60.

Liu Yongping,Yun Beibei,Wei Yongqiao,et al.Research on Digital Design and Tooth Shape Optimization of Non-circular Gears Based on Envelope Features[J].Journal of Mechanical Transmission,2022,46(08):55-60.
刘永平,员贝贝,魏永峭等.基于包络特征的非圆齿轮数字化设计与齿形优化研究[J].机械传动,2022,46(08):55-60. DOI： 10.16578/j.issn.1004.2539.2022.08.009.

Liu Yongping,Yun Beibei,Wei Yongqiao,et al.Research on Digital Design and Tooth Shape Optimization of Non-circular Gears Based on Envelope Features[J].Journal of Mechanical Transmission,2022,46(08):55-60. DOI： 10.16578/j.issn.1004.2539.2022.08.009.

摘要

基于齿轮啮合原理和微分几何理论，获得插齿刀具与非圆齿轮齿坯的运动坐标转换关系，模拟了非圆齿轮齿廓获取的插齿加工过程；同时，针对非圆齿轮传动过程中的冲击振动和噪声问题，以插齿刀具修形为手段，以非圆齿轮齿廓修形为目的，得到了一种精确、高效、通用的非圆齿轮齿廓的修形设计方法；利用动力学仿真软件，对修形前后的非圆齿轮进行了运动学仿真。结果说明，修形后的非圆齿轮在传动过程中的冲击振动现象明显减弱，能够有效降低齿面磨损，较好地增加轮齿的使用寿命，验证了该修形方法的正确性。为非圆齿轮的实际应用与发展提供了重要的理论研究方法和设计依据。

Abstract

Based on the principle of gear meshing and differential geometry theory， the motion coordinate conversion relationship between the gear cutter and the non-circular gear tooth blank is obtained， and the machining process of the non-circular gear tooth profile is simulated. At the same time， in view of the impact vibration and noise problems in the process of non-circular gear transmission， a precise， efficient and general modification design method of non-circular gear tooth profile is obtained by taking the modification of gear shaping cutter as the means and the modification of non-circular gear tooth profile as the purpose. The kinematic simulation of the non-circular gears before and after modification is carried out using the dynamic simulation software. It is obtained that the impact vibration phenomenon of the modified non-circular gear in the transmission process is significantly weakened， which verifies the correctness of the modification method. It can reduce the tooth surface wear and increase the service life of the gear tooth， providing an important theoretical research method and design basis for the practical application and development of the non-circular gear.

关键词

非圆齿轮范成法齿廓修形齿面磨损

Keywords

Non-circular gearsGenerating methodTooth profile modificationTooth surface wear

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School of Mechanical Engineering, University of Science and Technology Beijing

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