考虑随机点蚀分布的非圆行星传动系统啮合刚度

doi:10.3901/JME.2025.23.001

机械工程学报 ›› 2025, Vol. 61 ›› Issue (23): 1-10.doi: 10.3901/JME.2025.23.001

• 机器人及机构学 • 上一篇

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考虑随机点蚀分布的非圆行星传动系统啮合刚度

莫帅^1,2, 李亚鑫^1,2, 柏代鑫^1,2, 陈素姣³, 姚博炜⁴, 施文爱⁵, 彭南江⁶, 张伟¹

1. 广西大学特色金属材料与组合结构全寿命安全国家重点实验室南宁 530004;
2. 广西大学机械工程学院南宁 530004;
3. 柳工柳州传动件有限公司柳州 545007;
4. 柳州赛克科技发展有限公司柳州 545000;
5. 方盛车桥(柳州)有限公司柳州 545006;
6. 柳州五菱汽车工业有限公司柳州 545007

收稿日期:2025-02-06 修回日期:2025-05-16 发布日期:2026-01-22
作者简介:莫帅(通信作者),男,1987年出生,博士,教授,博士研究生导师。主要研究方向为高端装备振动控制与故障动力学、关键核心基础零部件设计制造(高性能齿轮/轴承)。E-mail:moshuai2010@163.com
基金资助:
广西科技重大专项(桂科AA24263074, 桂科AA23073019);广西杰出青年科学基金(2025GXNSFFA069016);国家自然科学基金(52265004);中国航空发动机集团科技创新平台项目(CXPT-2023-044);智能制造装备与技术全国重点实验室开放课题(IMETKF2025021)资助项目

Meshing Stiffness of Non-circular Planetary Transmission System Considering Random Pitting Distribution

MO Shuai^1,2, LI Yaxin^1,2, BAI Daixin^1,2, CHEN Sujiao³, YAO Bowei⁴, SHI Wenai⁵, PENG Nanjiang⁶, ZHANG Wei¹

1. State Key Laboratory of Featured Metal Materials and Life-cycle Safety for Composite Structures, Guangxi University, Nanning 530004;
2. School of Mechanical Engineering, Guangxi University, Nanning 530004;
3. Liugong Liuzhou Driveline Co., Ltd., Liuzhou 545007;
4. Liuzhou Saike Technology Development Co., Ltd., Liuzhou 545000;
5. Fangsheng Axle (Liuzhou) Co., Ltd., Liuzhou 545006;
6. Liuzhou Wuling Automobile Industry Co., Ltd., Liuzhou 545007

Received:2025-02-06 Revised:2025-05-16 Published:2026-01-22

摘要/Abstract

摘要： 非圆行星齿轮具有变传动比，变压力角等特性，广泛应用于各种关键传动系统，其健康状态的准确判断对保障整个机械系统的稳定、可靠运行意义重大。非圆行星齿轮副的时变啮合刚度(TVMS)是反映系统健康状态的关键因素，研究人员针对普通齿轮的故障TVMS进行了大量研究，但少有论文报道随机点蚀对非圆行星齿轮性能的影响，因此针对非圆行星齿轮副的TVMS问题，提出了一种高效、准确的数值计算方法；建立了基于随机正态分布模型的点蚀齿宽方程，深入研究了点蚀程度与点蚀位置对非圆行星齿轮副TVMS的影响机理，最后采用实验侧面验证了方法的准确性。结果表明，TVMS下降的范围和程度主要由点蚀位置与点蚀程度决定；数值模拟的系统动态特性结果与实验结果基本一致，验证了方法的可行性；研究结果为非圆行星齿轮的早期故障检测提供了理论基础。

关键词: 非圆齿轮, 行星齿轮传动系统, 随机点蚀, 时变啮合刚度

Abstract: Non-circular planetary gears have characteristics such as variable transmission ratios and variable pressure angles, and are widely used in various critical transmission systems. The accurate judgment of their health status is of great significance for ensuring the stable and reliable operation of the entire mechanical system. The time-varying meshing stiffness (TVMS) of non-circular planetary gear pairs is a key factor reflecting the health status of the system. Researchers have conducted extensive studies on the fault TVMS of ordinary gears, but few papers have reported the influence of random pitting erosion on the performance of non-circular planetary gears. Therefore, for the TVMS problem of non-circular planetary gear pairs, The research proposes an efficient and accurate numerical calculation method; The pitting tooth width equation based on the random normal distribution model was established. The influence mechanism of the pitting degree and pitting position on the TVMS of non-circular planetary gear pairs was deeply studied. Finally, the accuracy of the method was verified from the side by experiments. The results show that the range and degree of TVMS decline are mainly determined by the location and degree of pitting erosion. The results of the system dynamic characteristics of the numerical simulation are basically consistent with the experimental results, verifying the feasibility of the method. The research results provide a theoretical basis for the early fault detection of non-circular planetary gears.

Key words: non-circular gear, planetary gear transmission system, random pitting, time varying meshing stiffness

中图分类号:

TH113

莫帅, 李亚鑫, 柏代鑫, 陈素姣, 姚博炜, 施文爱, 彭南江, 张伟. 考虑随机点蚀分布的非圆行星传动系统啮合刚度[J]. 机械工程学报, 2025, 61(23): 1-10.

MO Shuai, LI Yaxin, BAI Daixin, CHEN Sujiao, YAO Bowei, SHI Wenai, PENG Nanjiang, ZHANG Wei. Meshing Stiffness of Non-circular Planetary Transmission System Considering Random Pitting Distribution[J]. Journal of Mechanical Engineering, 2025, 61(23): 1-10.

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考虑随机点蚀分布的非圆行星传动系统啮合刚度

Meshing Stiffness of Non-circular Planetary Transmission System Considering Random Pitting Distribution

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