考虑微凸体水平距离分布及相互作用的结合面法向接触刚度建模

doi:10.3901/JME.2022.21.201

机械工程学报 ›› 2022, Vol. 58 ›› Issue (21): 201-214.doi: 10.3901/JME.2022.21.201

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考虑微凸体水平距离分布及相互作用的结合面法向接触刚度建模

范凌松¹, 王世军¹, 吴敬伟², 李鹏阳¹

1. 西安理工大学机械与精密仪器工程学院西安 710048;
2. 西安昆仑工业(集团)有限责任公司技术部西安 710043

收稿日期:2022-02-13 修回日期:2022-08-04 出版日期:2022-11-05 发布日期:2022-12-23
通讯作者: 王世军(通信作者),男,1967年出生,博士,副教授,硕士研究生导师。主要研究方向为机械结合部理论和机械结构整机性能仿真分析方法。E-mail:wsjxaut@qq.com
作者简介:范凌松,男,1998年出生。主要研究方向为机械结合面接触特性建模。E-mail:2200221220@stu.xaut.edu.cn
基金资助:
国家自然科学基金（52075439）、陕西省区域创新能力引导计划（2022QFY01-01）和西安市科技计划项目（2020KJRC0072）资助项目。

Modeling of Normal Contact Stiffness of Joint Considering the Horizontal Distance Distribution and Interaction between Asperities

FAN Lingsong¹, WANG Shijun¹, WU Jingwei², LI Pengyang¹

1. School of Mechanical and Precision Instrument Engineering, Xi'an University of Technology, Xi'an 710048;
2. Technology Department, Xi'an Kunlun industry (Group) Co., Ltd., Xi'an 710043

Received:2022-02-13 Revised:2022-08-04 Online:2022-11-05 Published:2022-12-23

摘要/Abstract

摘要： 在涉及微凸体侧接触的粗糙表面接触建模过程中，通常需要假定微凸体之间侧接触的角度分布规律。提出一种考虑微凸体水平距离分布及相互作用的结合面法向接触刚度建模方法，该方法不再需要假定角度分布规律，而是基于首次发现的单个粗糙表面微凸体水平距离正态分布规律，根据统计学理论进行考虑微凸体相互作用的结合面法向接触刚度建模。对模型进行数字仿真发现：结合面法向接触刚度与接触载荷均随着微凸体水平距离标准差的减小而增大，并且考虑微凸体相互作用会使得结合面的法向接触刚度减小。结合面法向接触刚度随弹性模量的增大而减小，随材料硬度的增大而增大。通过有限元仿真结果与模态试验结果对比可知，基于模型的有限元仿真前三阶固有频率与试验所得结果基本吻合，并且误差相对GZQ模型更小。旨在通过研究单个粗糙表面微凸体水平距离分布，突破侧接触建模时接触角度分布函数仍需假设的理论瓶颈，为更加准确地预测结合面接触特性奠定基础。

关键词: 水平距离分布, 侧接触, 相互作用, 接触刚度

Abstract: In rough surface contact model related to side contact between asperities, it is usually necessary to assume the angle distribution law of side contact between asperities. A modeling method of normal contact stiffness of interface considering the horizontal distance distribution and interaction of asperity is proposed, which no longer needs to assume the law of angle distribution but uses the law of the horizontal distance normal distribution between asperities of a rough surface which is discovered for the first time. Based on the law, a normal contact stiffness model of joint considering the horizontal distance distribution and interaction of asperities is established by using statistical theory. The normal contact stiffness and contact load of joint of the new model increase with decrease of standard deviation of horizontal distance between asperities. After the interaction between asperities is considered, the normal contact stiffness decreases. The normal contact stiffness of joint decreases with the increase of elastic modulus and the decrease of material hardness. The results of finite element analysis and modal experiment show that the first three modal frequencies from finite element analysis based on the new contact model are consistent with those from experiment, and the error is smaller than the error between the frequencies from finite element analysis based on the GZQ model and those from modal experiment. The purpose is to break through the theoretical bottleneck that the contact angle distribution function needs to be assumed in side contact by studying the asperities horizontal distance distribution of a single rough surface, and lay a foundation for more accurate prediction of the contact characteristics of the joint.

Key words: horizontal distance distribution, side contact, interaction, contact stiffness

中图分类号:

TH114

范凌松, 王世军, 吴敬伟, 李鹏阳. 考虑微凸体水平距离分布及相互作用的结合面法向接触刚度建模[J]. 机械工程学报, 2022, 58(21): 201-214.

FAN Lingsong, WANG Shijun, WU Jingwei, LI Pengyang. Modeling of Normal Contact Stiffness of Joint Considering the Horizontal Distance Distribution and Interaction between Asperities[J]. Journal of Mechanical Engineering, 2022, 58(21): 201-214.

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考虑微凸体水平距离分布及相互作用的结合面法向接触刚度建模

Modeling of Normal Contact Stiffness of Joint Considering the Horizontal Distance Distribution and Interaction between Asperities

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