Prediction of Yarn Paths in Braided Structures Formed on a Square Pyramid

Abstract

A circular braiding process is used for producing three-dimensional (3D) textile preforms using 3D mandrels. In our previous study, we have predicted and simulated the yarns paths on various 3D mandrels, including cylinder, square prism, and cones with circular and elliptical cross-sections (Rawal, A., Potluri, P. and Steele, C. (2005). Geometrical Modeling of the Yarn Paths in ThreeDimensional Branded Structure, Journal of Industrial Textiles, 34(2): 115-135.). This study predicts the yarn paths on a square pyramid in which the yarns are modeled as straight lines varying in length from the top to the bottom of the square pyramid. The 3D coordinates of the yarn paths on a square pyramid have been mathematically related to the braid angle.

The mechanics of the braiding process

“…The categorization of open and closed braids not only simplifi es the text and titles, but also the theoretical considerations. For open braids, there are plenty of well-developed, simple geometrical, or even mechanical, methods for computing the braid paths (Kessels and Akkerman, 2002;Rawal et al , 2005;Rawal et al , 2007). For closed braids, it is still problematic managing the huge computer power effectively to compute the entirety of contact interactions at the braiding zone properly.…”

“…There are more papers on the prediction of the yarn path of open braids with exact geometrical considerations (Rawal et al , 2007). The changes of the braiding angle (Lepperhoff, 1953).…”

Defect Detection on Printed Fabrics Via Gabor Filter and Regular Band

“…Numerous algorithms are currently proposed in fabric detection. Fabric detection approaches are classified into the statistical, the model [4] and the spectral [5,6]. The statistical approach is based on texture features of fabrics and is defined as a measurement of "energy" [7] in a window of each fabric pixel.…”

Comparison of analytical and finite element simulation of 2D braiding

“…Analytical models, for example, 3,4 can estimate yarn paths for a wide range of braided preform geometries. The formulae only consider geometric and velocity information to give a kinematic description of the yarn path.…”