局部线接触面齿轮副承载接触分析的数值计算方法

doi:10.3901/JME.260341

机械工程学报 ›› 2026, Vol. 62 ›› Issue (11): 215-226.doi: 10.3901/JME.260341

• 机器人及机构学 • 上一篇

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局部线接触面齿轮副承载接触分析的数值计算方法

何坤¹, 李荣昊¹, 李国龙², 操兵³, 杜彦斌¹

1. 重庆工商大学智能装备绿色设计与制造重庆市重点实验室重庆 400067;
2. 重庆大学高端装备机械传动全国重点实验室重庆 400044;
3. 重庆交通大学机电与车辆工程学院重庆 400074

收稿日期:2025-07-30 修回日期:2025-12-11 发布日期:2026-07-29
作者简介:何坤,男,1990年出生,副教授。主要研究方向为精密磨削技术与装备、智能数控技术与系统。E-mail:hekun@ctbu.edu.cn
基金资助:
国家自然科学基金联合基金(U23A20635)、重庆市教委科学技术研究项目(KJZD-K202400802)、中国博士后科学基金(2021M700618)和重庆市博士后研究项目特别资助(2021XMT005)资助项目。

Numerical Calculation Method for Loaded Tooth Contact Analysis of Face Gear Pair with Localized Line Contact

HE Kun¹, LI Ronghao¹, LI Guolong², CAO Bing³, DU Yanbin¹

1. Chongqing Key Laboratory of Green Design and Manufacturing of Intelligent Equipment, Chongqing Technology and Business University, Chongqing 400067;
2. State Key Laboratory of Mechanical Transmission for Advanced Equipment, Chongqing University, Chongqing 400044;
3. School of Mechatronics and Vehicle Engineering, Chongqing Jiaotong University, Chongqing 400074

Received:2025-07-30 Revised:2025-12-11 Published:2026-07-29

摘要/Abstract

摘要： 为了提高面齿轮副的承载性能，避免啮合时的边缘接触，提出一种局部线接触修形方法，并基于影响系数法建立了高效的承载接触分析数值模型。首先，利用齿面接触线数字化离散标准齿面，沿接触线及预设接触路径对离散节点叠加修形量，构建具有局部线接触特性的面齿轮副几何模型；其次，由几何模型建立面齿轮副网格模型，基于影响系数法建立齿面力-位移响应矩阵，利用变形协调方程及力矩平衡条件，数值计算面齿轮齿面接触应力及载荷分布；最后，验证局部线接触修形方法的有效性及承载接触分析数值计算模型的准确性。研究结果表明：预设接触路径与仿真接触路径一致，所提数值方法计算的接触应力大小与Abaqus结果吻合良好，接触应力分布一致，同时计算效率显著提升。相比于点接触方案，局部线接触有效降低了齿面接触应力并避免了边缘接触。

关键词: 面齿轮, 修形方法, 啮合性能, 承载接触分析, 数值方法

Abstract: To improve the load performance of face gear pair and prevent edge contact during meshing, a localized line contact modification method is proposed, and a high efficiency load contact analysis model is developed based on the influence coefficient method. First, the standard tooth surface is digitally discretized using tooth surface contact lines, and modification amounts are superimposed on discrete nodes along the contact line and a predetermined contact path to construct a geometric model of the face gear pair with localized line contact characteristics. Second, a mesh model of the face gear pair is developed from the geometric model, and a tooth surface force-displacement response matrix is established based on the influence coefficient method. The contact stress and load distribution on the face gear tooth surface are numerically calculated using deformation compatibility equations and moment equilibrium conditions. Finally, the effectiveness of the localized line contact modification method and the accuracy of the numerical calculation model for loaded contact analysis are validated. The results demonstrate that the predetermined contact path agrees well with the simulated contact path, and the contact stress computed by the proposed numerical method shows good agreement in magnitude and distribution with the Abaqus results while achieving significantly higher computational efficiency. Compared with point contact, the localized line contact effectively reduces the contact stress on the tooth surface and eliminates edge contact.

Key words: face gear, modification method, meshing performance, loaded tooth contact analysis, numerical method

中图分类号:

TH114

何坤, 李荣昊, 李国龙, 操兵, 杜彦斌. 局部线接触面齿轮副承载接触分析的数值计算方法[J]. 机械工程学报, 2026, 62(11): 215-226.

HE Kun, LI Ronghao, LI Guolong, CAO Bing, DU Yanbin. Numerical Calculation Method for Loaded Tooth Contact Analysis of Face Gear Pair with Localized Line Contact[J]. Journal of Mechanical Engineering, 2026, 62(11): 215-226.

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局部线接触面齿轮副承载接触分析的数值计算方法

Numerical Calculation Method for Loaded Tooth Contact Analysis of Face Gear Pair with Localized Line Contact

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