Surface roughness and parameters

Theory of Formation of Edge’s Surface Roughness Finished by Radial Polymer-Abrasive Brushes

“…It is stated [4,5,6,7] that cutting micro-relief of abrasive instrument can be described only in form of random stationary process with normal rule of distribution. Profile record in this case is the realization of the given random process.…”

“…In works [5,6] there is equitation for detection γo, solution of which happens to be impossible by transformation through elementary functions. That's why the search values were calculated with use of computer with application of numerical method.…”

“…where yЕ -depth of penetration of abrasive grains. АЕ = 0,5ϕЕ -0,25sin2ϕЕ; Ао = 0,5ϕо-0,25sin2ϕо; ϕо = 0,5arc cos2µT; µT -coefficient of plastic friction; ϕE = 0,5arc cos(1-yE/rI); КY -coefficient considering difference of equivalent parameters of micro-relief (average number of zeroes n(0)e, square root deviation σe and average number of maximum me) by equations given in works [4,5,6] accepted when calculation of parameters of cutting micro-relief of instrument n(0), σ and m, because it is practically impossible to guess what parameters n(0), σ and m will be on the billet in the process of treatment. Since the process of cutting is conducted it plastic deformation of metal, coefficient of plastic friction µT characterizes friction of single grain with plastically deformed material.…”

Probability-Statistical Estimation Method of Feed Influence on As-Turned Finish of Steels and Non-Ferrous Metals

“…The analysis of a large number of publications describing the results of research on the influence of f on the roughness parameter Ra did not reveal the repetition of experiments, which may indicate a deterministic approach in conducting such studies. Given that a large number of factors [2,16,25], which by their nature are random variables, act simultaneously in forming the parameter Ra, we can accept the hypothesis that the parameter Ra is a random variable. The purpose of this research is to develop a probability-statistical method for estimating the influence of the feed rate s on the roughness parameter Ra of the surface that was formed by turning, which is based on the theory of a small sample and the iteration method, while providing the constant values of other elements of the cutting mode and the geometric parameters of the cutting tool.…”

“…The purpose of this research is to develop a probability-statistical method for estimating the influence of the feed rate s on the roughness parameter R a of the surface that was formed by turning, which is based on the theory of a small sample and the iteration method, while providing the constant values of other elements of the cutting mode and the geometric parameters of the cutting tool. It is assumed that R a is a random value and it has a normal distribution law [11,16].…”