一种考虑微凸体接触角分布的结合面侧接触分形模型

王世军; 刘鑫; 范凌松; 崔圣奇; 李鹏阳

doi:10.7652/xjtuxb202312019

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一种考虑微凸体接触角分布的结合面侧接触分形模型

—————————————————————— | 更新时间：2025-07-09

- 一种考虑微凸体接触角分布的结合面侧接触分形模型
- A Fractal Model for Lateral Contact of Joint Considering Contact Angle Distribution Between Asperities
- 西安交通大学学报 2023年57卷第12期页码：190-200
- 作者机构：
  
  西安理工大学机械与精密仪器工程学院,西安,710048
- 作者简介：
  
  : 2023-04-20。作者简介: 王世军(1967—),男,副教授,硕士生导师。基金项目: 国家自然科学基金资助项目(52075439)
- 基金信息：
  
  : 2023-04-20。作者简介: 王世军(1967—),男,副教授,硕士生导师。基金项目: 国家自然科学基金资助项目(52075439);陕西省区域创新能力引导计划资助项目(2022QFY01-01);西安市科技计划资助项目(2020KJRC0072)。
- DOI：10.7652/xjtuxb202312019
  中图分类号： TH113.1
- 网络首发：2023-12-10，
  
  纸质出版：2023
- 稿件说明：
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王世军, 刘鑫, 范凌松, 等. 一种考虑微凸体接触角分布的结合面侧接触分形模型[J]. 西安交通大学学报, 2023,57(12):190-200.

WANG Shijun, LIU Xin, FAN Lingsong, et al. A Fractal Model for Lateral Contact of Joint Considering Contact Angle Distribution Between Asperities[J]. 2023, 57(12): 190-200.
王世军, 刘鑫, 范凌松, 等. 一种考虑微凸体接触角分布的结合面侧接触分形模型[J]. 西安交通大学学报, 2023,57(12):190-200. DOI： 10.7652/xjtuxb202312019.

WANG Shijun, LIU Xin, FAN Lingsong, et al. A Fractal Model for Lateral Contact of Joint Considering Contact Angle Distribution Between Asperities[J]. 2023, 57(12): 190-200. DOI： 10.7652/xjtuxb202312019.

摘要

针对以往分形模型中忽略微凸体侧向接触和接触角度分布来源的问题

提出了一种考虑微凸体之间接触角分布的结合面接触刚度的侧接触分形模型。通过轮廓显微镜采集了接触表面的轮廓

采用三点峰方法将表面轮廓模型化

获得了相邻微凸体之间的水平距离及高度差的数据。利用功率谱密度法进行分析

发现相邻微凸体之间的水平距离和高度差均具有分形规律。根据所发现的分形规律

推导出两个微凸体相互接触时接触角的分布函数规律

然后采用分形理论建立了结合面的侧接触模型。基于这个模型

通过数值仿真

研究了分形参数、塑性指数、法向载荷系数及接触方式对结合面法向、切向接触刚度的影响。结果表明:无量纲切向接触刚度随着分形维数、塑性指数及法向载荷系数的增大而增大

随着无量纲分形尺度参数的增大而减小。对比有限元分析及模态试验的结果

发现二者最大相对误差为4.32%

相较LZT模型精度提高了46.8%

说明所提模型能够比较准确地预测结合面的接触刚度。

Abstract

Aiming at the problem that the lateral contact and the source of contact angle distribution between asperities are ignored in the existing fractal models

a lateral fractal model of contact stiffness of joint considering the contact angle distribution between asperities was proposed. The profile of the contact surfaces was obtained by the profile microscope

and the surface profiles were modeled by the three-point peak method to obtain the data of the horizontal distance and height difference between adjacent asperities. The analysis results based on power spectral density method show that the horizontal distances and height differences between adjacent asperities have fractal laws. According to the discovered fractal law

the distribution function law of contact angle is derived when two asperities contact with each other

then the contact stiffness model of joint is established by the fractal theory. Based on this model

the effects of fractal parameters

plastic index

normal load coefficient

and contact mode on the normal and tangential contact stiffness were studied through the numerical simulation. The results indicate that the dimensionless tangential contact stiffness increases with the fractal dimension

plastic index

and normal load coefficient

while decreases as the fractal scale parameter increases. Comparing the results of finite element analysis and modal experiment

it is found that the absolute value of the maximum relative error is 4.32%

and the accuracy is 46.80% higher than that of the LZT model

which illustrates that this model can accurately predict the contact stiffness of joint.

关键词

Keywords

references

ZHANG G P, HUANG Y M, SHI W H, et al. Predicting dynamic behaviours of a whole machine tool structure based on computer-aided engineering [J]. International Journal of Machine Tools and Manufacture, 2003, 43(7): 699-706.

AMINI SARABI M, HOSSEINI TEHRANI P. A new combined model for considering the plasticity effects in contacting asperities [J]. Mathematical Problems in Engineering, 2020, 2020: 4640204.

SEPEHRI A, FARHANG K. On elastic interaction of nominally flat rough surfaces [J]. Journal of Tribology, 2008, 130(1): 011014.

GORBATIKH L, POPOVA M. Modeling of a locking mechanism between two rough surfaces under cyclic loading [J]. International Journal of Mechanical Sciences, 2006, 48(9): 1014-1020.

MISRA A, HUANG Shiping. Effect of loading induced anisotropy on the shear behavior of rough interfaces [J]. Tribology International, 2011, 44(5): 627-634.

高志强. 机械结合面接触刚度及阻尼的理论模型研究 [D]. 西安: 西安理工大学, 2018.

JAMSHIDI H, AHMADIAN H. A modified rough interface model considering shear and normal elastic deformation couplings [J]. International Journal of Solids and Structures, 2020, 203: 57-72.

WANG Shijun, FAN Lingsong, WU Jingwei, et al. A side contact model of joint considering the horizontal distance distribution between asperities [J]. Journal of Tribology, 2022, 144(10): 101501.

范凌松, 王世军, 吴敬伟, 等. 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, et al. 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.

YU Qiuping, SUN Jianjun, JI Zhengbo. Mechanics analysis of rough surface based on shoulder-shoulder contact [J]. Applied Sciences, 2021, 11(17): 8048.

ZHANG Kai, LI Guoxi, GONG Jingzhong, et al. Normal contact stiffness of rough surfaces considering oblique asperity contact [J]. Advances in Mechanical Engineering, 2019, 11(1): 1687814018824471.

SHEN Jingfang, GONG Yuqi, MENG Hang, et al. The fractal characterization of mechanical surface profile based on power spectral density and Monte-Carlo method [C]//2018 4th International Conference on Energy Materials and Environment Engineering. Paris, France: EDP Sciences, 2018: 04013.

MAJUMDAR A, BHUSHAN B. Role of fractal geometry in roughness characterization and contact mechanics of surfaces [J]. Journal of Tribology, 1990, 112(2): 205-216.

朱林波, 庄艳, 洪军, 等. 一种考虑侧接触的微凸体弹塑性接触力学模型 [J]. 西安交通大学学报, 2013, 47(11): 48-52, 104.

ZHU Linbo, ZHUANG Yan, HONG Jun, et al. Elastic-plastic model for contact of two asperities considering shoulder-shoulder contact [J]. Journal of Xi'an Jiaotong University, 2013, 47(11): 48-52, 104.

LIU Wenwei, YANG Jiajun, XI Neng, et al. A study of normal dynamic parameter models of joint interfaces based on fractal theory [J]. Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2015, 9(5): JAMDSM0070.

李志涛, 王世军, 韩子锐, 等. 应用改进分形理论及连续变形理论的机械结合面切向刚度建模 [J]. 西安交通大学学报, 2020, 54(6): 107-114.

LI Zhitao, WANG Shijun, HAN Zirui, et al. Modeling of tangential stiffness of mechanical joint surface using improved fractal theory and continuous deformation theory [J]. Journal of Xi'an Jiaotong University, 2020, 54(6): 107-114.

ZHAO J H, NAGAO S, ZHANG Z L. Loading and unloading of a spherical contact: from elastic to elastic-perfectly plastic materials [J]. International Journal of Mechanical Sciences, 2012, 56(1): 70-76.

YU Xin, SUN Yunyun, ZHAO Deng, et al. A revised contact stiffness model of rough curved surfaces based on the length scale [J]. Tribology International, 2021, 164: 107206.

张学良, 陈永会, 温淑花, 等. 考虑弹塑性变形机制的结合面法向接触刚度建模 [J]. 振动工程学报, 2015, 28(1): 91-99.

ZHANG Xueliang, CHEN Yonghui, WEN Shuhua, et al. The model of normal contact stiffness of joint interfaces incorporating elastoplastic deformation mechanism [J]. Journal of Vibration Engineering, 2015, 28(1): 91-99.

LAN Guosheng, SUN Wan, ZHANG Xueliang, et al. A three-dimensional fractal model of the normal contact characteristics of two contacting rough surfaces [J]. AIP Advances, 2021, 11(5): 055023.

王世军, 刘鑫, 吴敬伟, 等. 基于混合润滑的结合面法向接触刚度建模 [J]. 西安理工大学学报, 2023, 39(1): 47-59.

WANG Shijun, LIU Xin, WU Jingwei, et al. Modeling on normal contact stiffness of interfaces based on mixed lubrication [J]. Journal of Xi'an University of Technology, 2023, 39(1): 47-59.

赵金娟, 王世军, 杨超, 等. 基于横观各向同性假定的固定结合部本构关系及有限元模型 [J]. 中国机械工程, 2016, 27(8): 1007-1011.

ZHAO Jinjuan, WANG Shijun, YANG Chao, et al. A constitutive law based on transverse isotropic hypothesis and finite element model of fixed joints [J]. China Mechanical Engineering, 2016, 27(8): 1007-1011.

田红亮, 刘芙蓉, 方子帆, 等. 引入各向同性虚拟材料的固定结合部模型 [J]. 振动工程学报, 2013, 26(4): 561-573.

TIAN Hongliang, LIU Furong, FANG Zifan, et al. Immovable joint surface's model using isotropic virtual material [J]. Journal of Vibration Engineering, 2013, 26(4): 561-573.

王世军, 赵金娟. 机械工程中的有限元方法 [M]. 北京: 科学出版社, 2019: 239-241.[25] 张学良, 范世荣, 温淑花, 等. 基于等效横观各向同性虚拟材料的固定结合部建模方法 [J]. 机械工程学报, 2017, 53(15): 141-147.

ZHANG Xueliang, FAN Shirong, WEN Shuhua, et al. Modeling method of fixed joint interfaces based on equivalent transversely isotropic virtual material [J]. Journal of Mechanical Engineering, 2017, 53(15): 141-147.

FANG Bing, YE Junfeng, YE Dapeng, et al. An improved static stiffness analysis model for machine tools based on virtual material method [J]. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2020, 42(7): 357.

SHI Kun, ZHANG Guangpeng, SHI Junping, et al. Equivalent characteristic model of a rough contact interface based on virtual material method [J]. Advances in Mechanical Engineering, 2022, 14(9): 16878132221125073.

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