Mathematical Approaches to the Structural Analysis and Formalization of Woven Fabrics  

作　　者：Askarali Daminov Otabek Kasimov Askarali Daminov;Otabek Kasimov(Tashkent Institute of Textile and Light, Tashkent, Uzbekistan)

机构地区：[1]Tashkent Institute of Textile and Light, Tashkent, Uzbekistan

出　　处：《World Journal of Engineering and Technology》2016年第3期263-269,共7页世界工程和技术（英文）

摘　　要：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.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.

关 键 词：Textile WEAVING Structure Plain Weave Twill Weave RAPPORT WARP Weft Topology Graph Theory Vertex VALENCY Edge 

分 类 号：O15[理学—数学]