a Comparative Theoretical Analysis for a Knitted Loop Model

Abstract

The theory presented in this paper differs from previous ones in that no arbitrary loop shape is assumed. Rather a strophoid curve, that is similar to knitted fabric Loop shape, has been assumed as the basic mathematical function. Additionally, the theory is improved by adapting buckled elastic rod theory, leading to a new equation from a certain mathematical curve. This loop model is assumed to be two- dimensional initially, but is applicable to three-dimensional analysis as well. The geometry of the fabric structure is obtained from these models. The results show good agreement between the theoretical and experimental suggestions reported by other scholars.