Mathematical Approaches to the Structural Analysis and Formalization of Woven Fabrics - World Journal of Engineering and Technology

WJET > Vol.4 No.3, October 2016

Mathematical Approaches to the Structural Analysis and Formalization of Woven Fabrics ()

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Download as PDF (Size: 282KB) PP. 263-269

DOI: 10.4236/wjet.2016.43D032 1,159 Downloads 2,292 Views

Author(s)

Askarali Daminov, Otabek Kasimov

Affiliation(s)

Tashkent Institute of Textile and Light, Tashkent, Uzbekistan.

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.

KEYWORDS

Textile, Weaving, Structure, Plain Weave, Twill Weave, Rapport, Warp, Weft Topology, Graph Theory, Vertex, Valency, Edge

Share and Cite:

Daminov, A. and Kasimov, O. (2016) Mathematical Approaches to the Structural Analysis and Formalization of Woven Fabrics. World Journal of Engineering and Technology, 4, 263-269. doi: 10.4236/wjet.2016.43D032.

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