Abstract

The relation between the surface roughness and Abbott's bearing curve is examined by introducing a model of the profile curves of some finished surfaces. Profile curves of almost all kinds of finished surfaces, except such special surfaces as milled ones and turned ones by a round nose tool, can be assumed to be made up of a series of triangles, the height of which is nearly equal with each other. In these cases the bearing curve can be drawn as a main straight line with broken lines at either end of it, and the broken lines disappear when the peaks and the valleys of the cross sectional curve are on two straight lines parallel to the center line of the cross sectional curve. The existence of the broken line has a secondary effect on the estimation of the center line average roughness, while it has important effect on the estimation of the maximum height roughness. Hence the center line average roughness can easily be calculated graphically, neglecting the broken lines of the bearing curve.It is found that the above theory can be applied for the surfaces which are finished by abrasive grains, that is, by emery cloth, abrasive belt, grinding wheel and sand blasting.

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