Matrix Algorithm for Braiding Simulation of Three-Dimensional Four-Step Braided Composites

Abstract

This paper proposes a new kind of computational approach of three-dimensional (3D) braiding simulation based on matrix theory and symbol operation, which is suitable for batch integral calculation. The approach can be used to calculate braiding matrix at any step. Different braiding matrices fully reflect yarn carrier position changes. Using the braiding matrix calculation, the approach can provide data for storing yarn carrier paths, also termed braiding paths. The 3D braiding paths study was conducted to better visualization and thereby analyse the carrier's movement characteristics and principles of operation. Finally, a program was designed to provide a reference for the mathematical model in further research.