齿根三维粗糙表面的应力集中系数计算研究

doi:10.3901/JME.2021.21.182

机械工程学报 ›› 2021, Vol. 57 ›› Issue (21): 182-188.doi: 10.3901/JME.2021.21.182

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齿根三维粗糙表面的应力集中系数计算研究

何玉辉¹, 胡航¹, 唐进元¹, 周炜²

1. 中南大学高性能复杂制造国家重点实验室长沙 410083;
2. 湖南科技大学难加工材料高效精密加工湖南省重点实验室湘潭 411201

收稿日期:2020-08-13 修回日期:2021-01-21 出版日期:2021-11-05 发布日期:2021-12-28
通讯作者: 唐进元(通信作者),男,1962年出生,教授,博士研究生导师。主要研究方向为复杂曲面宏微观形貌设计制造、数控机床与数字化制造与检测。E-mail:jytangcsu@163.com
作者简介:何玉辉,男,1974年出生,博士,副教授。主要研究方向为超声振动切削加工原理、工艺及设备。E-mail:csuhyh@163.com
基金资助:
国家重点研发计划（2018YFB2001300）、国家自然科学基金青年基金（51705142）和高性能复杂制造国家重点实验室自主研究课题（ZZYJKT2018）资助项目。

Stress Concentration Calculation Factor of Tooth Root with 3D Rough Profile

HE Yuhui¹, HU Hang¹, TANG Jinyuan¹, ZHOU Wei²

1. State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083;
2. Hunan Provincial Key Laboratory of High Efficiency and Precision Machining of Difficult-to-Cut Material, Hunan University of Science and Technology, Xiangtan 411201

Received:2020-08-13 Revised:2021-01-21 Online:2021-11-05 Published:2021-12-28

摘要/Abstract

摘要： 考虑粗糙表面影响因素的齿轮齿根处应力集中系数计算是齿轮弯曲疲劳寿命精准预估的难题，以磨削喷丸后的直齿轮为研究对象，研究粗糙表面下的齿根应力与应力集中计算问题。采用白光干涉仪Wyko NT9100对磨削喷丸齿根粗糙表面进行测量，得到粗糙表面形貌数据，基于空间坐标变换原理，使用Python对有限元软件进行二次开发，通过调整齿根细化网格节点坐标实现了齿根表面粗糙形貌的添加工作，建立了齿根过渡曲面三维粗糙表面有限元模型并进行仿真分析。通过数值计算得到三维粗糙表面参数下的齿根应力分布与应力集中系数，对粗糙表面参数与应力集中系数的关联规律进行非线性回归分析，建立粗糙表面参数与应力集中系数的关联规律。结果表明，粗糙表面参数S_a、S_v、S_10z拟合应力集中系数得到拟合公式的相关系数分别为0.799，0.784，0.914，十点区域高度参数S_10z能较好地表征齿根表面的应力集中。

关键词: 齿根, 粗糙表面, 应力集中系数, 计算方法, 喷丸

Abstract: The calculation of the stress concentration factor in the tooth root of the gear considering the influence of the rough surface is a difficult problem in accurately predicting the bending fatigue life of the gear. The ground and shot peened spur gear as the research object to study the root stress and stress concentration under the rough surface of tooth root. The white light interferometer Wyko NT9100 is used to measure the rough surface of the ground and shot peened tooth root, and the rough surface topography data is obtained. Based on the principle of space coordinate transformation, the finite element software is redeveloped by using Python, adjusting the coordinates of the tooth root refined mesh nodes, the rough topography of the tooth root surface is added, and the 3D rough surface finite element model of the tooth root transition surface is established and simulated. Through numerical calculation, the root stress distribution and stress concentration factor under 3D rough surface parameters are obtained, and the correlation law between rough surface parameters and stress concentration factor is performed nonlinear regression analysis, and the correlation law between rough surface parameters and stress concentration factor is established. The results show that the correlation coefficients of the fitting formulas obtained by fitting the rough surface parameters S_a, S_v, S_10z and stress concentration coefficients are 0.799, 0.784, 0.914, respectively. The ten-point region height parameter can better characterize the stress concentration on the tooth root surface.

Key words: gear tooth root, rough surface, stress concentration factor, method of calculation, shot peen

中图分类号:

TH132

何玉辉, 胡航, 唐进元, 周炜. 齿根三维粗糙表面的应力集中系数计算研究[J]. 机械工程学报, 2021, 57(21): 182-188.

HE Yuhui, HU Hang, TANG Jinyuan, ZHOU Wei. Stress Concentration Calculation Factor of Tooth Root with 3D Rough Profile[J]. Journal of Mechanical Engineering, 2021, 57(21): 182-188.

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齿根三维粗糙表面的应力集中系数计算研究

Stress Concentration Calculation Factor of Tooth Root with 3D Rough Profile

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