• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2020, Vol. 56 ›› Issue (7): 240-248.doi: 10.3901/JME.2020.07.240

• 制造工艺与装备 • 上一篇    

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平面磨削粗糙表面的微观接触模型

安琪1, 索双富2, 林福严1, 白玉柱2, 耿海旭1, 时剑文2   

  1. 1. 中国矿业大学(北京)机电与信息工程学院 北京 100083;
    2. 清华大学机械工程系 北京 100084
  • 收稿日期:2019-08-28 修回日期:2019-12-09 出版日期:2020-04-05 发布日期:2020-05-12
  • 作者简介:安琪(通信作者),男,1991年出生,博士研究生。主要研究方向为摩擦学、粗糙表面接触行为。E-mail:kuangdaanqi@163.com;
    索双富,男,1963年出生,博士,副教授。主要研究方向为摩擦磨损、润滑与密封。E-mail:sfsuo@tsinghua.edu.cn;
    林福严,男,1958年出生,博士,教授。主要研究方向为摩擦磨损、胶带输送机压陷阻力。E-mail:linfy@cumtb.edu.cn;
    白玉柱,男,1981年出生,博士研究生。主要研究方向为摩擦学、粗糙表面接触。E-mail:baiyuzhu403@163.com;
    耿海旭,男,1990年出生,硕士研究生。主要研究方向为摩擦学、粗糙表面接触刚度。E-mail:ghx37301@163.com;
    时剑文,男,1990年出生,博士后。主要研究方向为干气密封、摩擦磨损。E-mail:shjw6222@mail.tsinghua.edu.cn
  • 基金资助:
    国家重大仪器专项资助项目(2017YFF0108101)。

A Micro-contact Model for Rough Surface of Plane Grinding

AN Qi1, SUO Shuangfu2, LIN Fuyan1, BAI Yuzhu2, GENG Haixu1, SHI Jianwen2   

  1. 1. School of Mechanical Electronic&Information Engineering, China University of Mining&Technology, Beijing 100083;
    2. Department of Mechanical Engineering, Tsinghua University, Beijing 100084
  • Received:2019-08-28 Revised:2019-12-09 Online:2020-04-05 Published:2020-05-12

摘要: 通过拟合实测平面磨削表面单个微凸体的轮廓数据,提出一种采用半周期余弦曲线回转体等效微凸体的方法。通过对实测表面轮廓的峰谷标记处理,获得了等效微凸体轮廓的尺寸参数。结合高斯分布,建立了能够更加准确表征平面磨削表面形貌特征的模拟表面。在模拟表面的基础上,基于接触力学理论与统计学理论,重新解算了微凸体在弹塑性变形区间的临界压入深度。推导出接触区域内接触参数与接触压力的解析关系,进而建立起一种针对平面磨削表面的微观接触模型。最后将实测平面磨削表面的统计参数作为接触模型数据仿真的初始值,将本文模型与CEB模型以及KE模型就平均距离和真实接触面积的预测结果进行了对比分析。结果显示,在相同接触压力的条件下,该模型相比CEB模型与KE模型所得到的平均距离与真实接触面积的预测值更大,并且三者之间的差值随着接触压力的增加而逐渐增大。结合不同微凸体轮廓假设对平面磨削表面微凸体轮廓数据的拟合结果来看,该模型对于平面磨削表面接触参数的预测结果更加准确且合理。

关键词: 平面磨削表面, 模拟表面, 微观接触模型, 微凸体, 弹塑性变形, 接触参数

Abstract: By fitting the measured topography data of a single asperity on the plane grinding surface, a method of using the semi-periodic cosine curve rotating body equivalent asperity is proposed. The method of calculating the dimension parameters of a single asperity topography is obtained by marking the peak and valley of the measured surface topography. Combining with the Gauss distribution, the simulated surface which can more accurately characterize the actual surface morphology is established. Based on the simulated surface, the critical interference of the asperities in the elastic-plastic deformation region is re-calculated by using contact mechanics theory and statistical theory. The analytical relationship between contact parameters and contact pressure at different deformation stages are obtained. Then, a micro-contact model of rough surface in plane grinding is established. Finally, the statistical parameters of the measured grinding surface are taken as the initial values for the data simulation. The prediction results of average distance and real contact area are compared among present model, CEB model and KE model. The results show that under the same contact pressure, the average distance and the real contact area predicted by the present model are larger than those obtained by CEB model and KE model, and the difference between the three models increases with the increase of contact pressure. According to the fitting results of measured topography data by different asperity topography assumptions, the prediction results of contact parameters of surface grinding in present model are more accurate and reasonable.

Key words: rough surface of plane grinding, simulated surface, micro-contact model, asperities, elastoplastic deformation, contact parameters

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