Tooth surface design and analysis of pure rolling contact bevel gears based on preset transmission error

WANG Wangwang; TAN Rulong; ZHANG Weiqing; GUO Xiaodong

doi:10.16578/j.issn.1004.2539.2026.01.014

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Tooth surface design and analysis of pure rolling contact bevel gears based on preset transmission error

Design·Calculation | 更新时间：2026-01-23

- Tooth surface design and analysis of pure rolling contact bevel gears based on preset transmission error
- Journal of Mechanical Transmission Vol. 50, Issue 1, Pages: 112-118(2026)
- 作者机构：
  
  重庆理工大学　机械工程学院，重庆　400054
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2026.01.014
  CLC： TH132
- Received：24 September 2024，
  
  Revised：2024-10-27，
  
  Published：15 January 2026
- 稿件说明：
移动端阅览
王旺旺，谭儒龙，张卫青，等. 基于预置传动误差的纯滚接触锥齿轮齿面设计与分析［J］. 机械传动，2026，50（1）：112-118.

WANG Wangwang，TAN Rulong，ZHANG Weiqing，et al. Tooth surface design and analysis of pure rolling contact bevel gears based on preset transmission error［J］. Journal of Mechanical Transmission，2026，50（1）：112-118.
王旺旺，谭儒龙，张卫青，等. 基于预置传动误差的纯滚接触锥齿轮齿面设计与分析［J］. 机械传动，2026，50（1）：112-118. DOI： 10.16578/j.issn.1004.2539.2026.01.014.

WANG Wangwang，TAN Rulong，ZHANG Weiqing，et al. Tooth surface design and analysis of pure rolling contact bevel gears based on preset transmission error［J］. Journal of Mechanical Transmission，2026，50（1）：112-118. DOI： 10.16578/j.issn.1004.2539.2026.01.014.

摘要

目的

针对纯滚接触锥齿轮在安装误差作用下易产生角速度突变、诱发振动和噪声的问题，提出一种对安装误差低敏感的齿面设计方法。

方法

首先，基于安装误差对角速度的影响，将传动误差曲线预置为抛物线形；其次，利用预置的传动误差曲线对小轮理论齿面进行修形，建立了小轮目标齿面的数学模型；最后，构建了修形后的锥齿轮三维实体模型，并进行了齿面接触分析。

结果

结果表明，实际导出的传动误差曲线与预置曲线基本一致，验证了齿面修形的有效性；优化后的齿面实际啮入、啮出点偏离齿面边缘，整体接触区向齿面中部靠拢，可有效避免边缘接触及应力集中。

Abstract

Objective

To address the problem that pure rolling bevel gears are prone to angular velocity mutation

vibration

and noise excitation under the influence of mounting errors

a tooth surface design method with low sensitivity to mounting errors was proposed.

Methods

Firstly

based on the influence of installation errors on angular velocity

the transmission error curve was preset as a parabolic type. Secondly

the theoretical tooth surface of the pinion was modified using the preset transmission error curve to establish a mathematical model of the target tooth surface. Finally

a 3D solid model of the modified bevel gear was constructed

and tooth contact analysis was performed.

Results

The results show that the derived transmission error curve is consistent with the preset curve

validating the effectiveness of the modification. The actual meshing points of the optimized tooth surface deviate from the edges

and the overall contact area centers on the tooth surface

effectively avoiding edge contact and stress concentration.

关键词

Keywords

references

WAGNER M J ， NG W F ， DHANDE S G . Profile synthesis and kinematic analysis of pure rolling contact gears ［J］. Journal of Mechanical Design ， 1992 ， 114 （ 2 ）： 326 - 333 .

CHEN C H . A formula for determining limit noninterference curvature in pure rolling conjugation gears by using geometro-kinematical concepts ［J］. Journal of Mechanical Design ， 1995 ， 117 （ 1 ）： 180 - 184 .

CHEN Z ， DING H F ， LI B ， et al . Geometry and parameter design of novel circular arc helical gears for parallel-axis transmission ［J］. Advances in Mechanical Engineering ， 2017 ， 9 （ 2 ）： 16878140 - 17690957 .

CHEN Z ， DING H F ， ZENG M . Nonrelative sliding gear mechanism based on function-oriented design of meshing line functions for parallel axes transmission ［J］. Advances in Mechanical Engineering ， 2018 ， 10 （ 9 ）： 168781401879632 .

TAN R L ， CHEN B K ， PENG C Y ， et al . Study on spatial curve meshing and its application for logarithmic spiral bevel gears ［J］. Mechanism and Machine Theory ， 2015 ， 86 ： 172 - 190 .

ZHANG W Q ， TAN R L ， GUO X D ， et al . Analytical synthesis of the kinematic geometry of spiral bevel gears of pure-rolling contact ［J］. Mechanism and Machine Theory ， 2020 ， 153 ： 103992 .

邓效忠，蒋闯 . 在共轭基础上的准双曲面齿轮主动修形设计［J］. 河南科技大学学报（自然科学版）， 2012 ， 33 （ 5 ）： 32 - 36 .

DENG Xiaozhong ， JIANG Chuang . Function-oriented modification design for tooth surfaces of hypoid gears based on conjugate theory ［J］. Journal of Henan University of Science & Technology （Natural Science）， 2012 ， 33 （ 5 ）： 32 - 36 .

MU Y M ， LI W L ， FANG Z D . Tooth surface modification method of face-milling spiral bevel gears with high contact ratio based on cutter blade profile correction ［J］. The International Journal of Advanced Manufacturing Technology ， 2020 ， 106 （ 7 ）： 3229 - 3237 .

曹雪梅，邓效忠，聂少武 . 基于共轭齿面修正的航空弧齿锥齿轮高阶传动误差齿面拓扑结构设计［J］. 航空动力学报， 2015 ， 30 （ 1 ）： 195 - 200 .

CAO Xuemei ， DENG Xiaozhong ， NIE Shaowu . Ease-off flank topography design for aviation spiral bevel gears with higher-order transmission errors by modification of conjugate flank ［J］. Journal of Aerospace Power ， 2015 ， 30 （ 1 ）： 195 - 200 .

牟彦铭，方宗德，张西金 . 高重合度弧齿锥齿轮高阶传动误差设计与分析［J］. 华中科技大学学报（自然科学版）， 2018 ， 46 （ 7 ）： 67 - 72 .

MU Yanming ， FANG Zongde ， ZHANG Xijin . Design and analysis of high-order transmission error for high contact ratio spiral bevel gears ［J］. Journal of Huazhong University of Science and Technology（Natural Science Edition）， 2018 ， 46 （ 7 ）： 67 - 72 .

谭儒龙 . 共轭曲线锥齿轮研究［D］. 重庆：重庆大学， 2016 ： 15 - 25 .

TAN Rulong . Researches on spatial conjugate curve bevel gears ［D］. Chongqing ： Chongqing University ， 2016 ： 15 - 25 .

FUENTES A ， LITVIN F L ， MULLINS B R ， et al . Design and stress analysis of low-noise adjusted bearing contact spiral bevel gears ［J］. Journal of Mechanical Design ， 2002 ， 124 （ 3 ）： 524 - 532 .

LITVIN F L ， FUENTES A ， HAYASAKA K . Design，manufacture，stress analysis，and experimental tests of low-noise high endurance spiral bevel gears ［J］. Mechanism and Machine Theory ， 2006 ， 41 （ 1 ）： 83 - 118 .

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