Abstract
This paper is connected with the determination of sufficiently accurate probability distribution and asymptotic distribution of ground surface in a large number of cutting edges to make the surface roughness. When the screw height of the wheel face generated by the dressing treatment has little effect on the surface roughness generation, the inborn random profile of the wheel affects the surface roughness generation significantly. The asymptotic probability distribution derived for the ground surface roughness is represented by the third asymptotic maximum distribution. By the transformation x=-x, this distribution becomes the famous Weibull distribution. The statistical characteristics of the ground surface roughness will be determined by this distribution theory. Theoretical consideration is in the agreement with the experimental results.
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