TITLE:
Mathematical Approaches to the Structural Analysis and Formalization of Woven Fabrics
AUTHORS:
Askarali Daminov, Otabek Kasimov
KEYWORDS:
Textile, Weaving, Structure, Plain Weave, Twill Weave, Rapport, Warp, Weft Topology, Graph Theory, Vertex, Valency, Edge
JOURNAL NAME:
World Journal of Engineering and Technology,
Vol.4 No.3D,
October
29,
2016
ABSTRACT: The present paper shows the mathematical approach of formalization of textile fabrics, based on concepts and elements of graph theory and the structural analysis of woven structures and possibility of numerical evaluation of interlacing factor of warp and weft threads in woven structures through the weight of a structural graph vertex. Research observes quantitative aspect of structural evaluation of threads topology in fabric focusing in graph theory, in order to present an application productivity of this theory to solve the technological tasks.