Geometric Modeling and Fatigue Strength Simulation of Bevel Gears with Variable Radius Tooth Root

Haohan Zeng; Huiming Sun; Tao Wang; Liangmo Wang; Hanguan Xia; Yi Dong

doi:10.16578/j.issn.1004.2539.2022.08.010

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Geometric Modeling and Fatigue Strength Simulation of Bevel Gears with Variable Radius Tooth Root

Design· Calculation | 更新时间：2022-09-23

- Geometric Modeling and Fatigue Strength Simulation of Bevel Gears with Variable Radius Tooth Root
- Journal of Mechanical Transmission Vol. 46, Issue 8, Pages: 61-66(2022)
- 作者机构：
  
  1.南京理工大学机械工程学院，江苏南京 210094
  2.江苏太平洋精锻科技股份有限公司，江苏姜堰 225500
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2022.08.010
  CLC：
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曾昊晗,孙会明,王陶等.变半径齿根圆角锥齿轮几何建模与疲劳强度仿真分析[J].机械传动,2022,46(08):61-66.

Zeng Haohan,Sun Huiming,Wang Tao,et al.Geometric Modeling and Fatigue Strength Simulation of Bevel Gears with Variable Radius Tooth Root[J].Journal of Mechanical Transmission,2022,46(08):61-66.
曾昊晗,孙会明,王陶等.变半径齿根圆角锥齿轮几何建模与疲劳强度仿真分析[J].机械传动,2022,46(08):61-66. DOI： 10.16578/j.issn.1004.2539.2022.08.010.

Zeng Haohan,Sun Huiming,Wang Tao,et al.Geometric Modeling and Fatigue Strength Simulation of Bevel Gears with Variable Radius Tooth Root[J].Journal of Mechanical Transmission,2022,46(08):61-66. DOI： 10.16578/j.issn.1004.2539.2022.08.010.

摘要

针对直齿锥齿轮的齿根大多采用0.3倍模数的定半径圆角过渡，容易造成齿根弯曲应力偏大、锥齿轮使用寿命降低等问题，提出了一种变半径齿根圆角锥齿轮的设计方法。建立了标准齿根圆锥下的变半径齿根圆角一般方程；基于某电动汽车差速器定半径非标行星齿轮，推导出不同齿根圆锥下的齿根变半径圆角的一般方程，对非标行星齿轮进行了优化设计。通过有限元动力学和疲劳寿命仿真分析得知，变半径齿根圆角相较于半径最大的定半径圆角，锥齿轮平均齿根弯曲应力减小了10.8%、疲劳损伤降低了6.6%。所提出的设计方法提升了锥齿轮力学性能和疲劳寿命。

Abstract

Aiming at the problem that most of the teeth root of straight bevel gears adopt fixed radius fillet transition with 0.3 times of modulus， which tends to to cause large bending stress on the tooth root and reduce the service life of bevel gears， a design method of variable radius tooth root fillet bevel gears is proposed. The general equation of the variable radius tooth root fillet under the standard tooth root bevel is established. Based on the fixed-radius non-standard planetary gear of an electric vehicle differential， the general equation of tooth root variable-radius fillet under different tooth root cones is derived， and the variable-radius non-standard planetary gear is optimally designed. Through finite element dynamics and fatigue life simulation analysis， it is concluded that the average tooth root bending stress of the bevel gear is reduced by 10.8% and the fatigue damage is reduced by 6.6% for the variable radius tooth root fillet compared with the fixed radius fillet with the largest radius. Therefore， the proposed design method improves the mechanical performance and fatigue life of the bevel gear.

关键词

变半径齿根圆角直齿锥齿轮球面渐开线弯曲应力疲劳寿命

Keywords

Variable radius tooth root filletStraight bevel gearsSpherical involuteBending stressFatigue life

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School of Mechanical Engineering, Tangshan Polytechnic College

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