TAILIEUCHUNG - Engineering Tribology Episode 2 Part 10

Tham khảo tài liệu 'engineering tribology episode 2 part 10', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 450 Engineering Tribology It has been observed that surface roughness profiles resemble electrical recordings of white noise and therefore similar statistical methods have been employed in their analysis. The introduction of statistical methods to the analysis of surface topography was probably due to Abbott and Firestone in 1933 11 when they proposed a bearing area curve as a means of profile representation 9 . This curve representing the real contact area also known as the Abbott curve is obtained from the surface profile. it is compiled by considering the fraction of surface profile intersected by an infinitesimally thin plane positioned above a datum plane. The intersect length with material along the plane is measured summed together and plotted as a proportion of the total length. The procedure is repeated through a number of slices. The proportion of this sum to the total length of bearing line is considered to represent the proportion of the true area to the nominal area 9 . Although it can be disputed that this procedure gives the bearing length along a profile it has been shown that for a random surface the bearing length and bearing area fractions are identical 12 9 . The obtained curve is in fact an integral of the height probability density function p z and if the height distribution is Gaussian then this curve is nothing else than the cumulative probability function P z of classical statistics. The height distribution is constructed by plotting the number or proportion of surface heights lying between two specific heights as a function of the height 9 . It is a means of representing all surface heights. The method of obtaining the bearing area curve is illustrated schematically in Figure . It can be seen from Figure that the percentage of bearing area lying above a certain height can easily be assessed. Although in general it is assumed that most surfaces exhibit Gaussian height distributions this is not always true. For example it has been .

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