A Novel Method of Designing Random Rough Surface Considering Its Contact Force-Deformation Characteristic Requirement

IF 2.2 3区工程技术 Q2 ENGINEERING, MECHANICAL Journal of Tribology-transactions of The Asme Pub Date : 2023-10-30 DOI:10.1115/1.4063946

Xuxin Guo, Daxin Liu, Zhenyu Liu, Jianrong Tan

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Abstract

Abstract The height probability distribution (HPD) of random rough surface topography has significant effect on its contact behaviors. In this paper, an optimization model to calculate the optimal HPD of random rough surface topography to make its contact force-deformation characteristic satisfy the given target force-deformation characteristic was established. In the solution to calculate the optimal HPD, using Bezier interpolation curve to represent the curve of HPD function and using the positions of the control points of Bezier interpolation curve as optimization variables were proposed. The solution was validated by numerical simulations implemented using MATLAB. The effect of the number of the control points on the minimum objective function value was investigated. Through analyzing the obtained result, we found the most appropriate number of the control points is 35. Comparison with the method using height parameters as optimization variables in literature was implemented. It was found that the proposed method is applicable to broader types of contact force-deformation characteristic requirements than the method using height parameters as optimization variables.

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一种考虑随机粗糙表面接触力-变形特性要求的设计新方法

随机粗糙表面形貌的高度概率分布(HPD)对其接触行为有重要影响。本文建立了随机粗糙表面形貌的最优HPD优化模型，使其接触力-变形特性满足给定的目标力-变形特性。在计算最优HPD的解中，提出用Bezier插值曲线表示HPD函数曲线，并以Bezier插值曲线控制点的位置作为优化变量。通过MATLAB仿真验证了该方法的有效性。研究了控制点个数对目标函数最小值的影响。通过分析得到的结果，我们发现最合适的控制点数量为35个。并与文献中以高度参数为优化变量的方法进行了比较。结果表明，与以高度参数为优化变量的方法相比，该方法适用于更广泛类型的接触力-变形特性要求。

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来源期刊

Journal of Tribology-transactions of The Asme 工程技术-工程：机械

CiteScore

4.20

自引率

12.00%

发文量

117

审稿时长

4.1 months

期刊介绍： The Journal of Tribology publishes over 100 outstanding technical articles of permanent interest to the tribology community annually and attracts articles by tribologists from around the world. The journal features a mix of experimental, numerical, and theoretical articles dealing with all aspects of the field. In addition to being of interest to engineers and other scientists doing research in the field, the Journal is also of great importance to engineers who design or use mechanical components such as bearings, gears, seals, magnetic recording heads and disks, or prosthetic joints, or who are involved with manufacturing processes. Scope: Friction and wear; Fluid film lubrication; Elastohydrodynamic lubrication; Surface properties and characterization; Contact mechanics; Magnetic recordings; Tribological systems; Seals; Bearing design and technology; Gears; Metalworking; Lubricants; Artificial joints