Modeling and analysis of the carrier arrangement in three-dimensional circular braiding

Abstract

In this paper, the carrier arrangement in three-dimensional (3D) circular braiding is studied. To obtain suitable arrangements, the guide grooves of carriers are defined and divided into several types. Restricted conditions of the carrier positions are derived by obeying the characteristics of the carrier motion. Based on the restricted conditions, a mathematical model is established and applied to determine the possible carrier positions. Using the model, reasonable carrier arrangements are discussed. In comparison with practical engineering, the model is proven to be a useful tool for the 3D circular braiding process and helpful for designing a 3D circular braiding machine.

Extended horn gears in 3D maypole braiding

“…There are a few research works which try to define relations and trials for occupation of the carrier arrangements based on mathematical rules. 4 The theory seems promising, but from the article, it is not directly applicable. The group theory from the mathematical topology 5 also has the potential to give the fundamentals for the arrangement of the maypole braiding machines, but at the current state, it is very abstract and not directly connected to the braiding applications.…”