Abstract: The tension distribution in winding layer hoop wound on a rigid cylinder are investigated by considering the relaxation of winding tension in inner layer induced by the hoop tension in outer layer using three dimensional isotropic constitutive relationship. The relationship between winding tension and residual tension distribution is built, and a differential equation to determine the residual tension distribution formed by the specified winding tension strategy, and winding tension strategy to obtain the specified winding distribution are presented. The tension distribution formed by constant tension winding, constant torque winding and cone tension winding strategy are yielded respectively. Analytical expressions of the winding tension strategies leading to uniform residual tension distribution and zero tension when rigid cylinder is removed, and the winding tension leading to uniform radial strain are given. Comparing with the references, the relaxation analysis in this paper is more reasonable and some applications in residual winding tension analysis and winding tension design for hoop winding on rigid mandril are illustrated.

Key words: Cloth winding, filament winding, constant tensing winding, winding control, thick-walled cylinder