结合面法向动态参数的分形模型

尤晋闽; 陈天宁

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结合面法向动态参数的分形模型

更新时间：2025-07-09

- 结合面法向动态参数的分形模型
- Fractal Model for Normal Dynamic Parameters of Joint Surfaces
- 西安交通大学学报 2009年43卷第9期页码：91-94
- 作者机构：
  
  西安交通大学机械工程学院,西安,710049
- 作者简介：
- 基金信息：
  
  : 2009-03-17. 作者简介: 尤晋闽(1981-),男,博士生;陈天宁(联系人),男,教授,博士生导师. 基金项目: 国家重点基础研究发展规划资助项目(2007CB707706)
- DOI：
  中图分类号： TB53
- 网络首发：2009-09-10，
  
  纸质出版：2009
- 稿件说明：
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尤晋闽, 陈天宁. 结合面法向动态参数的分形模型[J]. 西安交通大学学报, 2009,43(9):91-94.

Fractal Model for Normal Dynamic Parameters of Joint Surfaces[J]. 2009, 43(9): 91-94.
尤晋闽, 陈天宁. 结合面法向动态参数的分形模型[J]. 西安交通大学学报, 2009,43(9):91-94. DOI：

Fractal Model for Normal Dynamic Parameters of Joint Surfaces[J]. 2009, 43(9): 91-94. DOI：

摘要

为了对结合面法向动态参数进行正确的理论计算

以分形接触理论为基础

建立了结合面法向动态参数的理论分形模型

揭示了接触刚度和接触阻尼与作用在粗糙表面上的法向载荷、粗糙表面材料性能常数

以及分形参数等因素之间的复杂关系

并对该模型进行了数值仿真.仿真结果表明:结合面的实际接触面积仅占名义接触面积的一小部分

降低表面粗糙度或增加法向载荷都将增大实际接触面积; 接触刚度和接触阻尼与分形参数之间具有较强的非线性关系

而法向载荷对接触刚度的影响较为明显

当载荷增加时

刚度值也随之增大

但对接触阻尼的影响可以忽略.

Abstract

To estimate the normal dynamic parameters of joint surfaces theoretically

a new fractal model for these parameters is established following the fractal contact theory. It is revealed that the normal dynamic parameters

such as the contact stiffness and the contact damping

depend on the normal contact load

material properties of rough surface

and fractal parameters. The varying laws between the normal dynamic parameters and their effect factors are simulated numerically. The investigation indicates that the contact between two rough surfaces actually only occurs at the asperities

thus the real contact area makes up only a small section of the apparent area. The real contact area may increase by decreasing the roughness of surfaces and increasing the normal load. And the relationships between normal dynamic parameters of joint surfaces and fractal parameters get strongly nonlinear. The normal load obviously affects contact stiffness

but slightly affects contact damping.

关键词

Keywords

references

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IBRAHIM R A, PETTIT C L. Uncertainties and dynamic problems of bolted joints and other fasteners [J]. Journal of Sound and Vibration, 2005, 279(3/5):857-936.

FU W P, HUANG Y M, ZHANG X L. Experimental investigation of dynamic normal characteristics of machined joint surfaces [J]. ASME Journal of Vibration and Acoustics, 2000, 122(4):393-398.

AHMADIAN H, JALALI H. Identification of bolted lap joints parameters in assembled structures [J]. Mechanical Systems and Signal Processing, 2007, 21(2):1041-1050.

SHIRYAYEV O V, PAGE S M, PETTIT C L, et al. Parameter estimation and investigation of a bolted joint model [J]. Journal of Sound and Vibration, 2007, 307(3/5):680-697.

尤晋闽,陈天宁. 悬臂梁平面结合面参数的识别技术研究 [J]. 西安交通大学学报,2008,42(11):1323-1326.

YOU Jinmin, CHEN Tianning. Parameters identification for joint surfaces of cantilever beam [J]. Journal of Xi'an Jiaotong University, 2008, 42(11):1323-1326.

ANDREW C, COCKBURN A, WARING A E. Metal surfaces in contact under normal forces: some dynamic stiffness and damping characteristics [C]∥Proceedings of the Institution of Mechanical Engineers. London, UK: Professional Engineering Publishing, 1967: 92-100.

MAJUMDAR A, BHUSHAN B. Fractal model of elastic-plastic contact between rough surfaces [J]. ASME Journal of Tribology, 1991, 113(1):1-11.

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

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