Use of Non-Uniform Rational B-Splines for Three-Dimensional Computer Simulation of Warp Knitted Structures


Abstract: Some specific curves and surfaces have been used by engineers in the aerospace and automotive industries to design parts, such as car-body panels, for the last three decades. In this study, a method is developed for 3D solid computer representation of warp knitted structures using a similar technique. For this purpose, a three-dimensional cylindrical uniform solid yarn model was developed, such that the central axis is a space curve, by using the Non-Uniform Rational B-Spline (NURBS) surfaces. Then this model was applied to warp knitted fabrics using a CAD program written in C++ on a Silicon Graphics (SGI) workstation, which has an Open Inventor graphical library. The computer generated images of some structures are also given as examples in the study. This paper describes the methodology and mathematics used to create the three-dimensional solid yarn model and apply this model to textile structures.

Keywords: Textile, CAD, 3D Solid Modelling, Warp Knitting, NURBS.

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