Numerical analysis of the mechanical behavior of a ring-spinning triangle using the Finite Element Method

Abstract

The purpose of this study is to investigate the quantitative relationships between the mechanical performance of a ring-spinning triangle and the spinning parameters by using the Finite Element Method (FEM). The constituent fibers in the ring-spinning triangle are considered as three-dimensional elastic beam elements with tensile, compressive, torsional, and bending capabilities. The accuracy of the proposed FEM model in calculating the fiber tension distribution of the spinning triangle has been validated by comparing it with earlier models and experimental data. Compared with the earlier models, some important theoretical factors ignored previously, including the fiber torsional strain and the frictional contact of fibers with the bottom roller, are considered in the current model. With the input of various spinning parameters, some essential factors of the spinning triangle, including the fiber tension distribution and fiber torsion distribution, are numerically examined and their quantitative relationships are discussed in detail.