General Thin Rod Model for Preslip Bending Response of Strand

Abstract

A general discrete thin rod model to study the preslip response of a strand of helical wires having wires-to-core friction contacts under constant curvature free bending has been developed for the case of Coulomb stick friction that considers together (a) all the three wire forces and three wire couples; (b) more appropriate equations for the wire shear forces; (c) the wire normal force as one of the contributors to strand bending moment; (d) wire external equilibrium; and (e) wire rolling with or without zero net shear on the strand cross section. The individual contributions of wire forces and couples to the strand bending moment for 10 models including EPRI model are compared. Several earlier models are shown to be special cases of the present general model.