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 引用本文: 王庆志, 张秀华, 吴吉展, 李扬, 魏沛堂, 刘怀举. 基于CatBoost算法的渗碳齿轮接触疲劳极限预测方法研究. 力学学报, 待出版.
Wang Qingzhi, Zhang Xiuhua, Wu Jizhan, Li Yang, Wei Peitang, Liu Huaiju. Research on contact fatigue limit prediction method of carburized gears based on catboost algorithm. Chinese Journal of Theoretical and Applied Mechanics, in press.
 Citation: Wang Qingzhi, Zhang Xiuhua, Wu Jizhan, Li Yang, Wei Peitang, Liu Huaiju. Research on contact fatigue limit prediction method of carburized gears based on catboost algorithm. Chinese Journal of Theoretical and Applied Mechanics, in press.

## RESEARCH ON CONTACT FATIGUE LIMIT PREDICTION METHOD OF CARBURIZED GEARS BASED ON CATBOOST ALGORITHM

• 摘要: 表面完整性是影响齿轮接触疲劳性能的关键因素, 探明表面完整性参数与齿轮接触疲劳极限的定量关联规律, 对实现表面完整性参数主动设计和提升齿轮疲劳性能具有重要意义. 为探究表面完整性参数与接触疲劳极限的定量关联规律, 进行磨削、喷丸强化、二次喷丸、喷丸光整等不同工艺状态的18CrNiMo7-6、16Cr3NiWMoVNbE材料牌号的渗碳齿轮表面完整性表征和接触疲劳极限测试; 通过皮尔逊相关系数法分析了影响齿轮接触疲劳极限的关键表面完整性参数, 基于CatBoost算法探究了特征参数对齿轮接触疲劳极限的影响权重, 采用多元线性回归推导了考虑表面完整性参数的齿轮接触疲劳极限预测公式. 结果表明, 二次喷丸工艺状态的齿轮次表面最大残余压应力幅值可达1250 MPa以上, 表面硬度达到685 HV, 接触疲劳极限相较于渗碳磨削态最高可提升19.6%. 基于本文齿轮材料和加工工艺所得到的与接触疲劳极限贡献度相关的表面完整性特征参数分别为表面硬度、最大残余压应力、表面残余压应力和表面粗糙度, 贡献度分别为39.5%、24.7%、23.5%、12.3%. 提出的基于表面完整性的齿轮接触疲劳极限预测公式, 相比试验结果的平均预测误差仅为2.9%, 满足工程应用需求.

Abstract: Surface integrity is a key factor influencing the contact fatigue performance of gears.Exploring the quantitative correlation between surface integrity parameters and the contact fatigue limit of gears is crucial for achieving active design based on surface integrity parameters and enhancing gear fatigue performance. To explore the quantitative correlation between surface integrity parameters and the contact fatigue limit, characterization of surface integrity and contact fatigue limit testing for 18CrNiMo7-6 and 16Cr3NiWMoVNbE carburized gears under different process states including grinding, shot peening, dual shot peening, and barrel finishing after shot peening. The key surface integrity parameters influencing the contact fatigue limit of gears were analyzed using Pearson correlation coefficient method, and the influence weight of feature parameters on the contact fatigue limit of gears was explored based on CatBoost algorithm. The prediction formula for the contact fatigue limit of gears based on surface integrity parameters was derived using multiple linear regression method. The results show that in the dual shot peening state, the maximum subsurface residual stress amplitude of 18CrNiMo7-6 gears can exceed 1250 MPa, with a surface hardness reaching 685 HV, and the contact fatigue limit can be increased by up to 19.6% compared to the carburized grinding state. Furthermore, after being treated with composite surface strengthening processes such as barrel finishing after dual shot peening, the residual compressive stress amplitude on the surface of 18CrNiMo7-6 gears can reach 1150 MPa, and the contact fatigue limit is increased by more than 20% compared to the carburized grinding state. Based on the gear materials and manufacturing processes discussed in this paper, the surface integrity parameters most relevant to the contact fatigue limit are surface hardness, maximum residual compressive stress, surface residual compressive stress, and surface roughness, with contributions of 39.5%, 24.7%, 23.5%, and 12.3%, respectively. The proposed gear contact fatigue limit prediction formula based on surface integrity has an average prediction error of only 2.9% compared to experimental results, meeting engineering application requirements.

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