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

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 Three-Dimensional 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.