考虑多齿对接触的非平行轴变厚齿轮副承载接触分析高效数值方法

doi:10.3901/JME.2025.05.239

机械工程学报 ›› 2025, Vol. 61 ›› Issue (5): 239-249.doi: 10.3901/JME.2025.05.239

• 机器人及机构学 • 上一篇

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考虑多齿对接触的非平行轴变厚齿轮副承载接触分析高效数值方法

操兵¹, 何坤², 李国龙³, 陈永鹏¹

1. 重庆交通大学机电与车辆工程学院重庆 400074;
2. 重庆工商大学机械工程学院重庆 400067;
3. 重庆大学机械与运载工程学院重庆 400030

收稿日期:2023-12-01 修回日期:2024-03-06 发布日期:2025-04-15
作者简介:操兵，男，1993年出生，博士，讲师。主要研究方向为齿轮设计及制造。E-mail：cbing724@163.com
基金资助:
国家自然科学基金联合基金重点(U22B2084)、国家自然科学基金(52205446，52405054)、重庆英才计划cstc2022ycjh-bgzxm0060)、重庆市自然科学基金(2023NSCQ-MSX3422)和重庆市教委科学技术研究计划(KJQN202300721)资助项目。

Efficient Numerical Method of Loaded Contact Analysis for Unparallel Beveloid Gears Considering Multi-tooth Contact

CAO Bing¹, HE Kun², LI Guolong³, CHEN Yongpeng¹

1. School of Mechatronics and Vehicle Engineering, Chongqing Jiaotong University, Chongqing 400074;
2. School of Mechanical Engineering, Chongqing Technology and Business University, Chongqing 400067;
3. College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400030

Received:2023-12-01 Revised:2024-03-06 Published:2025-04-15

摘要/Abstract

摘要： 齿面承载接触分析(Loaded tooth contact analysis, LTCA)是设计、优化变厚齿轮副的重要工具。由于变厚齿轮齿面复杂，导致高效、准确获取齿面承载接触性能面临挑战。提出考虑多齿对接触的非平行轴变厚齿轮副承载接触分析数值方法。该方法考虑齿面接触过程中所有变形，采用解析法-有限元数值法混合方法获得齿面接触区柔度特性。针对多齿对接触情况，提出了传动误差协调条件，并建立了齿轮副承载传动误差计算模型；基于影响系数法建立交错轴变厚齿轮承载接触分析模型。通过求解该模型，可得到齿面接触压力、接触变形、传动误差及多齿对载荷分配系数等指标。经验证，基于该方法得到接触压力和变形计算结果与有限元仿真计算结果基本一致，单齿接触和多齿接触计算效率相较于有限元仿真分析显著提高。

关键词: 非平行轴, 变厚齿轮, 承载接触分析, 多齿对接触, 数值方法

Abstract: Loaded tooth contact analysis (LTCA) has been an important analysis technique for designing and optimizing beveloid gear pairs. However, accurately and efficiently obtaining the meshing characteristics under load remains a challenge for beveloid gears, because of the complexity of beveloid gears surfaces. Here, an efficient analysis method of loaded contact analysis is proposed. To ensure the calculation efficiency and accuracy, all deformations are considered and a mixed method developed to obtain the flexibility characteristics. Considering the multi-tooth contact, a loaded transmission error calculation method is proposed and a transmission error compatibility condition is considered. Based on the influence coefficient method, the contact model of crossed beveloid gears is developed. By solving the model, the contact pressure, deformation and load sharing can be obtained. It is validated that the contact pressure and deformation calculated by the method are in close agreement with that from simulated loaded tooth contact analysis based on a commercial software(SLTCA) and the calculation efficiency is significantly increased in the case of single-tooth contact and multi-tooth contact compared with SLTCA.

Key words: unparalleled axis, beveloid gear, loaded tooth contact analysis, multi-tooth contact, numerical method

中图分类号:

TH132

操兵, 何坤, 李国龙, 陈永鹏. 考虑多齿对接触的非平行轴变厚齿轮副承载接触分析高效数值方法[J]. 机械工程学报, 2025, 61(5): 239-249.

CAO Bing, HE Kun, LI Guolong, CHEN Yongpeng. Efficient Numerical Method of Loaded Contact Analysis for Unparallel Beveloid Gears Considering Multi-tooth Contact[J]. Journal of Mechanical Engineering, 2025, 61(5): 239-249.

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考虑多齿对接触的非平行轴变厚齿轮副承载接触分析高效数值方法

Efficient Numerical Method of Loaded Contact Analysis for Unparallel Beveloid Gears Considering Multi-tooth Contact

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