[부직포] Textile Surfaces Analysis and Modeling based on Statistical Methods: Variance Analysis and Autocorrelation Functions 출판일 : 2010.10.01 저자 : Jean-Yves Drean, Omar Harzallah, Marc Renner 서지사항 : Textile Research Journal, Volume 80, Issue 17, 1833 페이지 등록일 : 2011.03.16 I 조회수 : 111 작성자 : admin |
Statistical analysis using between-variance are usually used in various industries. In this
paper we propose to apply these statistical analysis tools to textile surfaces. Based on
early theories [1— 9] statistical tools have been developed to take into account periodic
and random defects observed on linear textiles. Indeed, in the textile industry the raw
material presents a strong random unevenness and moreover each processing step
introduces its own periodic irregularity (e.g. faults due to an elliptic roller or defective gear).
A method for determining these irregularities is developed whereby it is possible to define
the function of the variance-mass per unit area of the fibrous web if the overall mass
variance of the web produced during the industrial process is known. Indeed, with the help
of the autocorrelation function, the between-area-density variance function B(S) of the
fibrous web can be predicted and the shape of the B(S) curve is determined. The two types
of irregularities have also been examined and analyzed. Random irregularities were
developed based on the functions of the most common distributions (isoprobable,
equiprobable, uniform distributions). Then, the periodic irregularities have been developed
and generalized. Finally, we discussed the actual industrial case known as a
superposition of periodic and random irregularities.
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