An Analysis of the Deformation of Contacting Rough Surfaces : 2nd Report, Estimation of the Initial Contact Positions

概要

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This report deals with the calculation method to determine the highest point of ground surfaces (the extreme value of surface roughness) which is important to analyze the elastic and plastic deformation of contacting rough surfaces. On ground surfaces, a probability density function of surface asperity has always been assumed to be a normal distribution. For ground surfaces, however, the Weibull distribution gives a better approximation. In this report, using the Weibull distribution of which the form parameter is m=4.0, the extreme value of ground surfaces can be calculated statistically. With instruments having an optical flat and a precision steel ball, we could measure the extreme value of 0.2〜0.5μ accuracy. The experimental results reveal that the extreme value of surface asperity coincides with the value calculated by the Weibull distribution which is smaller than by a normal distribution. And further we explain that the standard deviation of surface asperity measured along the grinding direction can be calculated from that measured along the direction perpendicular to the grinding one.
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