李炎,董庆兵,罗振涛,何东.考虑表面形貌的接触应力分析[J].表面技术,2021,50(12):294-302.
LI Yan,DONG Qing-bing,LUO Zhen-tao,HE Dong.Analysis of Stress Fields at Line Contact withConsideration of Surface Topographies[J].Surface Technology,2021,50(12):294-302
考虑表面形貌的接触应力分析
Analysis of Stress Fields at Line Contact withConsideration of Surface Topographies
投稿时间:2021-01-05  修订日期:2021-06-08
DOI:10.16490/j.cnki.issn.1001-3660.2021.12.028
中文关键词:  线接触  粗糙表面  Mises应力  移动平均滤波  离散卷积傅里叶变换  共轭梯度法
英文关键词:line contact  rough surface  Mises stress  moving average filter  discrete convolutional fourier transform  conjugate gradient method
基金项目:国家重点研发计划(2020YFB2010101);国家自然科学基金(51905051);中央高校基本科研业务费专项(2020CDCGJX058 & 2021CDJKYJH018)
作者单位
李炎 重庆大学 机械传动国家重点实验室,机械工程学院,重庆 400044 
董庆兵 重庆大学 机械传动国家重点实验室,机械工程学院,重庆 400044 
罗振涛 重庆大学 机械传动国家重点实验室,机械工程学院,重庆 400044 
何东 重庆齿轮箱有限责任公司,重庆 402263 
AuthorInstitution
LI Yan State Key Laboratory of Mechanical Transmission,School of Mechanical Engineering, Chongqing University, Chongqing 400044, China 
DONG Qing-bing State Key Laboratory of Mechanical Transmission,School of Mechanical Engineering, Chongqing University, Chongqing 400044, China 
LUO Zhen-tao State Key Laboratory of Mechanical Transmission,School of Mechanical Engineering, Chongqing University, Chongqing 400044, China 
HE Dong Chongqing Gearbox Co., Ltd., Chongqing 402263, China 
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中文摘要:
      目的 研究规则和实际表面形貌对二维平面线接触模型的影响。方法 基于线接触几何特性,考虑表面受载后的弹性变形特性,结合规则和实际粗糙表面的形貌特征,并考虑磨合对表面的影响,采用移动平均滤波方法对实际粗糙表面进行光滑处理,利用共轭梯度法,求解表面接触压力和摩擦力,计算二维平面内接触近场应力分布,同时采用修正的离散卷积快速傅里叶变换方法提高计算效率。对比验证二维接触模型的准确性,并对比规则和实际粗糙形貌表面受法向载荷和切向载荷时平面应力分布云图中的应力分布和大小。结果 圆面与圆形微凸体接触时,圆形凸体半径越小,最大Mises应力值越大,半径增大,最大Mises应力减小。多个圆形微凸体及正弦微凸体对应力分布影响类似。当考虑切向力时,会对应力分布云图中的应力分布形状和大小产生巨大影响。在相同平面表面形貌时,摩擦系数越大,Mises应力越大,并且应力沿摩擦力方向发生偏移。结论 数值模型能准确计算出粗糙平面的应力。当圆面与规则表面轮廓平面接触时,与光滑表面接触时相比,Mises应力分布呈现很大不同,微凸体越小,应力越集中;摩擦力会使接触压力和近场Mises应力产生偏移,摩擦系数越大,偏移越明显。当考虑实际粗糙表面时,在粗糙界面尖端接触区域产生应力集中。经过磨合表面采用平均滤波光滑处理后,粗糙界面尖端接触区域应力集中将大幅减小。
英文摘要:
      This study aims to investigate the influence of rules and actual surface profile on the two-dimensional line contact model. The present study develops a numerical line contact model based on the geometric characteristics of line contact, and the surface deformation along with the surface roughness are taken into account. A moving average filter is used to smooth the actual rough surface to consider the running-in process, and the conjugate gradient method is adopted to solve the surface contact pressure and friction. The near-field stresses distribution in two-dimensional plane are calculated based on the discrete convolution fast Fourier transform method to improve calculation efficiency. First, the accuracy of two-dimensional contact model is verified by comparison. Then, the stress distribution and magnitude in the plane stress distribution cloud diagram are compared when the regular and actual rough topographic surfaces are subjected to normal load and tangential load. The maximum Mises stress increases when the radius of the circular asperity decreases. Multiple circular asperities and sinusoidal asperities have similar effects on stress distribution. When the tangential force is considered, it will have significant effects on the shape and size of the stress distribution. For the same surface topography, the greater the friction coefficient is, the greater the Mises stress is, and the stress shifts along the direction of the frictional force. The numerical model in this paper can accurately calculate the stress near the rough surface. When the cylinder surface is in contact with a rough surface, the stress distribution is changed significantly compared to the smooth surface contact. The smaller the asperity scale is, the more concentrated the stresses are; the friction will shift the contact pressure and the near-field Mises stress along the direction of the friction. The larger the friction coefficient, the more obvious the shift; when considering the actual rough surface, stress concentration occurs around the roughness peaks with level of amplitude; the stress concentration surrounding roughness peaks will be greatly reduced after the average filter smoothing treatment when surface running-in effects are considered.
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