考虑微凸体侧接触的结合面法向接触刚度建模

王世军; 杨昭; 吴敬伟; 李鹏阳

doi:10.7652/xjtuxb202202013

您当前的位置：

首页 >

文章列表页 >

考虑微凸体侧接触的结合面法向接触刚度建模

更新时间：2025-05-08

- 考虑微凸体侧接触的结合面法向接触刚度建模
- Modeling of Normal Contact Stiffness of Interface Considering Side Contact of Asperity
- 西安交通大学学报 2022年56卷第2期页码：118-129
- 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：
- 基金信息：
  
  : 2021-07-14。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)
- DOI：10.7652/xjtuxb202202013
  中图分类号： TH113.1
- 网络首发：2022-02-10，
  
  纸质出版：2022
- 稿件说明：
移动端阅览
王世军, 杨昭, 吴敬伟, 等. 考虑微凸体侧接触的结合面法向接触刚度建模[J]. 西安交通大学学报, 2022,56(2):118-129.

Modeling of Normal Contact Stiffness of Interface Considering Side Contact of Asperity[J]. 2022, 56(2): 118-129.
王世军, 杨昭, 吴敬伟, 等. 考虑微凸体侧接触的结合面法向接触刚度建模[J]. 西安交通大学学报, 2022,56(2):118-129. DOI： 10.7652/xjtuxb202202013.

Modeling of Normal Contact Stiffness of Interface Considering Side Contact of Asperity[J]. 2022, 56(2): 118-129. DOI： 10.7652/xjtuxb202202013.

摘要

提出了一种考虑微凸体侧接触影响的结合面法向刚度建模方法。通过采样获取接触表面轮廓数据后

用统计方法研究了接触表面上微凸体之间的水平距离分布

发现微凸体之间的水平距离分布近似呈正态分布。基于微凸体侧接触理论和微凸体连续变形理论

建立微凸体的法向接触刚度模型后

根据微凸体水平距离的分布规律

利用统计理论

构建了结合面法向接触刚度模型。分析结果表明:在两个接触表面平均间距相同时

提出模型的法向接触载荷大于KE模型

小于高志强(GZQ)模型; 在间距较小时

提出模型接触刚度小于KE(Kogut L和Etsion I)模型接触刚度

在间距较大时

提出模型接触刚度大于KE模型接触刚度

并且提出模型的法向接触刚度总是小于GZQ模型接触刚度; 基于提出模型的有限元分析获得的前三阶模态与试验结果一致

固有频率与试验结果最大相差8.2%

说明提出的模型能够比较准确地预测结合面的法向动态特性。

Abstract

A modeling approach for the normal stiffness of the lateral contact interface considering the horizontal distance distribution between asperities is proposed. After the information of contact plane are acquired by sampling

the distribution of the horizontal distances among asperities on the contact plane are investigated statistically. It is found that the distribution of the horizontal distances among asperities is approximatly the normal distribution. Once a normal stiffness of asperities is determined based on side contact theory between asperities and continuous deformation theory of asperities

according to the distribution law of the horizontal distances between asperities

a new normal contact stiffness model of contact interface is constructed following probability and statistics theory. The simulation indicates that the normal contact load of the new model is greater than the load of KE model and less than GZQ model when the average distance between contact surfaces is given. Meanwhile

when the distance is small

the normal contact stiffness of the new model always less than that of KE model. When the distance is large

the contact stiffness of this new model is greater than that of KE model

and the normal contact stiffness of the new model is always is less than that of GZQ model. And the top three-order vibration type acquired based on the finite element simulation of the new model coincides well with the test outcome

and the maximum natural frequency error reaches 8.2%

which verifies that this newly proposed model can forecast the normal dynamic performance of the joint plane more exactly.

关键词

Keywords

references

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.

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

SEPEHRI A, FARHANG K. Closed-form equations for three dimensional elastic-plastic contact of nominally flat rough surfaces [J]. Journal of Tribology, 2009, 131(4): 041402.

庄艳, 李宝童, 洪军, 等. 一种结合面法向接触刚度计算模型的构建 [J]. 上海交通大学学报, 2013, 47(2): 180-186.

ZHUANG Yan, LI Baotong, HONG Jun, et al. A normal contact stiffness model of the interface [J]. Journal of Shanghai Jiaotong University, 2013, 47(2): 180-186.

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.

ZHAO Bin, ZHANG Song, MAN Jia, et al. A modified normal contact stiffness model considering effect of surface topography [J]. Journal of Engineering Tribology, 2015, 229(6): 677-688.

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: 13-31.

GREENWOOD J A, JOHNSON K L. A unified theory of surface roughness [J]. Mathematical and Physical Sciences, 1984, 393(1804): 133-157.

GREENWOOD J A, WILLIAMSON J B P, BOWDEN F P. Contact of nominally flat surfaces [J]. Mathematical and Physical Sciences, 1966, 295(1442): 300-319.

李伯奎. 三维表面偏斜度与陡度的规律研究 [J]. 计量技术, 2008(10): 3-6.

LI Bokui. Study on the rule of surface skewness and surface kurtsis [J]. Measurement Technique, 2008(10): 3-6.

邱皓政. 量化研究与统计分析 [M]. 重庆: 重庆大学出版社, 2009: 137-139.

王世军, 李志涛, 韩子锐, 等. 基于微凸体连续变形理论的结合面切向刚度模型 [J]. 西安理工大学学报, 2019, 35(4): 401-410.

WANG Shijun, LI Zhitao, HAN Zirui, et al. Tangential stiffness model for joint surface based on asperity continuous deformation theory [J]. Journal of Xi'an University of Technology, 2019, 35(4): 401-410.

KOGUT L, ETSION I. A finite element based elastic-plastic model for the contact of rough surfaces [J]. Tribology Transactions, 2003, 46(3): 383-390.

CHANG W R, ETSION I, BOGY D B. An elastic-plastic model for the contact of rough surfaces [J]. Journal of Tribology, 1987, 109(2): 257-263.

JOHNSON K L. Contact mechanics [M]. Cambridge: Cambridge University Press, 1985: 45-50.

NURI K A, HALLING J. The normal approach between rough flat surfaces in contact [J]. Wear, 1975, 32(1): 81-93.

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.

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.

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.

贾文峰, 张学良, 温淑花, 等. 基于虚拟材料的结合面建模与参数获取方法 [J]. 太原科技大学学报, 2013, 34(5): 347-351.

JIA Wenfeng, ZHANG Xueliang, WEN Shuhua, et al. A method for modeling and parameter acquisitions of joints based on virtual materials [J]. Journal of Taiyuan University of Science and Technology, 2013, 34(5): 347-351.

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.

杨超.磨削表面形貌分析与接触特性研究 [D]. 西安: 西安理工大学, 2016: 16-17.

NAYAK P R. Random process model of rough surfaces [J]. Journal of Tribology, 1971, 93(3): 398-407.

MCCOOL J I. Predicting microfracture in ceramics via a microcontact model [J]. Journal of Tribology, 1986, 108(3): 380-385.

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.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

随机抽样在粗糙表面接触力学行为分析中的应用

一种考虑微凸体接触角分布的结合面侧接触分形模型

混合电解槽阵列协同的风光耦合制氢系统双层多目标优化

EBSILON软件在热电联产系统优化中的应用综述

水蒸气掺混对氨裂解气旋流燃烧与排放特性的影响研究