Fractal Analysis of Wavy Pattern of Frictional Coefficient of Fabrics

Abstract

Frequency analysis for a change in frictional coefficient is an important method to elucidate the complicated frictional characteristics of fabrics. The wavy patterns of frictional coefficient have the regular or irregular structure. From the viewpoint of application to the hand value and identification of fabrics, it is also expected to quantitatively evaluate the frequency distribution of wavy patterns of frictional coefficient . A method is proposed, therefore, to evaluate the frequency distribution by using fractal dimension, and the validity of this method is estimated. The results obtained are as follows :
(1) There is no correlation among the fractal dimensions, MMD and the density of fabrics.
(2) The frequency distribution of the fabrics composed of staple fiber was different from that of the fabrics made of filament fibers. The fractal property appeared on the wavy patterns of fabrics composed of staple fiber, but the fractal property did not appear on the other case.
(3) It became clear that the fractal dimensions and the correlation coefficient gave useful information as an evaluation indicator of the hand value in the fabric classification, even if fabrics were not able to be classified by only MMD and MIU obtained from the KES.
(4) The wavy patterns of the frictional coefficient of fabrics showed a class structure . As a result of simulation on the wavy patterns used the inverse Fourier transform, which was considered the class structure, the simulated wavy patterns on fabrics composed of staple fiber were similar to the experimental results