Abstract
Surface description is fundamental in mechanical contact analysis. In this paper, some of the most common approaches for roughness description are first briefly described. Some models for approximating a real rough profile with parabolas that guarantee the preservation of some specific characteristics are presented. The specimens of aluminum alloy with different surface roughnesses are prepared and measured. A data analysis program is developed to identify the measured profile with quadratic functions for different approximating criteria. Based on this, the effect of the approximating criterion and the sampling interval on the surface roughness parameters and the mechanical parameters is then presented and compared. The results show that the surface roughness Ra, asperity height H, and peak radii R increase with increasing surface roughnesses for different approximating criteria. The same root mean square approximating criterion is more suitable for calculating the surface roughness Ra. The asperity height H and peak radii R increase with increasing sampling intervals for all roughnesses, while the trend is opposite for the surface roughness Ra. The sampling interval has little effect on these parameters, especially for smoother surfaces.
Highlights
It is well known that most of the engineering surfaces that seem to be flat at first sight are rough in practice at the microscale
Based on the experimental works, the effect of the approximating criterion and the sampling interval of a parabolic asperity on the surface roughness and mechanical parameters is studied in this paper
(2) The values of the asperity height H and peak radii R level out for the smoother surfaces for all three criteria. It means that it does not need to struggle with the choice of the approximation criterion when identifying the mechanical parameters for the smoother surfaces
Summary
It is well known that most of the engineering surfaces that seem to be flat at first sight are rough in practice at the microscale. The multiple scale and the self-similarity of actual surface roughness can be characterized first by fractal geometry and by an interesting and quite different theory.. The multiple scale and the self-similarity of actual surface roughness can be characterized first by fractal geometry and by an interesting and quite different theory.13 For these three approaches, the characteristics of rough surfaces are simple, not the real, measured geometries with measurable numbers, radii, and heights. The characteristics of rough surfaces are simple, not the real, measured geometries with measurable numbers, radii, and heights In this case, the contact behavior depends on a statistical characterization and the typical “averaging” of engineering surfaces. Considering the fact that the use of a deterministic approach can describe the rough surface better especially in a not typical new machined engineering surface, this paper will focus on the deterministic approach
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