Anisotropy of yarn wound on a flanged tube

Abstract

Some synthetic fibres possess considerable transverse anisotropy. When yarn made from such fibres is wound under tension on a tube, the pack of wound yarn exhibits a high degree of anisotropy of the cylindrical type. A simple experiment which demonstrates this property is described. Treating the yarn as elastic and anisotropic, a theory of winding yarn under tension is developed to determine the stresses within the wound yarn. Expressions for the axial strain and the end load of the containing flanged tube are also obtained. Computed results show the dependence of stress distribution on the degree of anisotropy; of particular interest is the large variation of circumferential tension of the yarn, which affects subsequent yarn processing.