Comparison Study of Method for Calculation of Mesh Efficiency of Involute Gear Pair

Chen Yinglin Chen Jiangyi

doi:10.16578/j.issn.1004.2539.2019.12.022

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Comparison Study of Method for Calculation of Mesh Efficiency of Involute Gear Pair

Test·Analysis | 更新时间：2022-10-25

- Comparison Study of Method for Calculation of Mesh Efficiency of Involute Gear Pair
- Journal of Mechanical Transmission Vol. 43, Issue 12, Pages: 123-126(2019)
- 作者机构：
  
  1.郑州大学机械工程学院，河南郑州 450001
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2019.12.022
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陈瑛琳,陈江义.渐开线齿轮副啮合效率分析方法比较研究[J].机械传动,2019,43(12):123-126.

Chen Yinglin Chen Jiangyi.Comparison Study of Method for Calculation of Mesh Efficiency of Involute Gear Pair[J].Journal of Mechanical Transmission,2019,43(12):123-126.
陈瑛琳,陈江义.渐开线齿轮副啮合效率分析方法比较研究[J].机械传动,2019,43(12):123-126. DOI： 10.16578/j.issn.1004.2539.2019.12.022.

Chen Yinglin Chen Jiangyi.Comparison Study of Method for Calculation of Mesh Efficiency of Involute Gear Pair[J].Journal of Mechanical Transmission,2019,43(12):123-126. DOI： 10.16578/j.issn.1004.2539.2019.12.022.

摘要

运动副的效率可以用功或力的方法来进行描述，渐开线齿轮副的啮合效率计算同样如此。首先，以节点和齿廓接触点间的距离为变量，分别从功和力的角度推导出了齿廓啮合的瞬时效率；然后，将瞬时效率在实际啮合线上进行平均，得到两种方法下的齿轮副啮合效率的表达式；最后，结合数值算例对两种方法进行了对比研究，分析了传动比、小齿轮齿数及齿面摩擦因数对齿轮副啮合效率的影响。结果表明，基于力的齿轮副啮合效率计算方法更为合理。

Abstract

The efficiency of kinematic pairs is often formulated with work or force as it is done for the calculation of mesh efficiency of involute gear pair. Taking the distance between pitch point and contact point as a variable, two expressions of instantaneous efficiency of gear pair are derived from the perspective of work and force. Averaging the instantaneous efficiency along contact line leads to mesh efficiency of gear pair. Numerical examples are used to assess the validity of the presented calculation methods and the influences of the transmission ratio, pinion teeth number and friction coefficient on mesh efficiency are analyzed. Comparison of numerical results shows the calculation method based on the force is more appropriate than the method based on the work.

关键词

渐开线齿轮副啮合效率瞬时效率

Keywords

Involute gear pairMesh efficiencyInstantaneous efficiency

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