考虑微凸体相互作用的机械结合面接触刚度模型

doi:10.3901/JME.2017.17.149

机械工程学报 ›› 2017, Vol. 53 ›› Issue (17): 149-159.doi: 10.3901/JME.2017.17.149

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考虑微凸体相互作用的机械结合面接触刚度模型

田小龙, 王雯, 傅卫平, 高志强, 娄雷亭, 吴洁蓓, 李鹏阳

西安理工大学机械与精密仪器工程学院西安 710048

收稿日期:2016-09-04 修回日期:2017-06-18 出版日期:2017-09-05 发布日期:2017-09-05
通讯作者: 王雯(通信作者),女,1966年出生,博士,教授。主要研究方向为复杂系统动力学、智能机器人与机电系统测控。E-mail:wangwen@xaut.edu.cn
作者简介:田小龙,男,1989年出生。主要研究方向为表面工程与机电系统动力学。E-mail:453442068@qq.com
基金资助:
国家自然科学基金（51275407，51475363，51565053）、陕西省自然科学基础研究计划（2015JM5246）和陕西省教育厅重点实验室科研计划（13JS070）资助项目

Contact Stiffness Model of Mechanical Joint Surfaces Considering the Asperity Interactions

TIAN Xiaolong, WANG Wen, FU Weiping, GAO Zhiqiang, LOU Leiting, WU Jiebei, LI Pengyang

School of Mechanical and Precision Instrument Engineering, Xi'an University of Technology, Xi'an 710048

Received:2016-09-04 Revised:2017-06-18 Online:2017-09-05 Published:2017-09-05

摘要/Abstract

摘要： 为准确预测两粗糙表面的接触刚度，围绕考虑微凸体间发生相互作用时的法向结合面接触问题展开研究。基于圣维南原理和勒夫方程，建立微凸体相互作用所引起的局部变形量与局部接触载荷、两表面间压强、材料属性参数之间的函数关系；将其代入KE弹塑性接触模型中，建立考虑微凸体相互作用的KE接触刚度模型，并提出数值迭代方法进行求解；之后，分析在不同塑性指数下微凸体相互作用对接触载荷、面积、刚度间关系产生的影响规律，并给出考虑微凸体相互作用的KE及ZMC模型接触刚度对比。研究表明：微凸体相互作用对于两表面间平均距离与接触载荷的关系有着明显的影响，这使得真实接触面积与接触刚度与原未考虑微凸体相互作用的KE模型有明显差异，且随着塑性指数的增大，差异随之变小。最后，通过试验对考虑与未考虑微凸体相互作用的KE及ZMC模型接触刚度计算结果进行验证，试验对比分析表明：建立的考虑微凸体相互作用的KE接触刚度模型更加贴近试验结果。

关键词: KE模型, 机械结合面, 接触刚度, 微凸体, 相互作用

Abstract: In order to accurately predict the contact characteristics of the two rough surfaces, in this paper, the contact problem of the rough surfaces when considering interaction between the surface asperities is studied. Based on the Saint Venant principle and the love equation, the function relationship between the local deformation quantity and the local contact load, the pressure between the joints and the material property parameters is established. After the function relationship substitution in KE model which using finite element method, put forward from the physical point of view, more stick close to the real contact state, and a numerical iterative method is proposed to solve the problem, the influence of the interaction between the asperities on the contact load, the real contact area and the contact stiffness is analyzed. The result shows, the interaction of the asperity has a significant effect on the relationship between the average distance of the two surface and the contact load, this makes it clear that the real contact area and contact stiffness of the asperity interaction KE model are obviously different with the result of KE model, and with the increase of the plastic index of rough surface, the difference is small; finally, the results of the KE and ZMC model of the asperities interaction are verified by the experimental results. The experimental analysis shows:the KE contact stiffness model of asperities interaction is more close to the experimental results.

Key words: asperity, contact stiffness, interaction, KE model, mechanical joint

中图分类号:

TG156

田小龙, 王雯, 傅卫平, 高志强, 娄雷亭, 吴洁蓓, 李鹏阳. 考虑微凸体相互作用的机械结合面接触刚度模型[J]. 机械工程学报, 2017, 53(17): 149-159.

TIAN Xiaolong, WANG Wen, FU Weiping, GAO Zhiqiang, LOU Leiting, WU Jiebei, LI Pengyang. Contact Stiffness Model of Mechanical Joint Surfaces Considering the Asperity Interactions[J]. Journal of Mechanical Engineering, 2017, 53(17): 149-159.

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考虑微凸体相互作用的机械结合面接触刚度模型

Contact Stiffness Model of Mechanical Joint Surfaces Considering the Asperity Interactions

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