Analytical procedure for modelling recursively and wire by wire stranded ropes subjected to traction and torsion loads

Abstract

a b s t r a c tThe aim of this article is to introduce a new theoretical procedure for modelling wire ropes subjected simultaneously to tensile and torsional loads. The procedure is based upon the beam assumption and takes account wire by wire of the double helical wires on the basis of general thin rod theory developed by [Love, A., 1944. Mathematical Theory of Elasticity. Dover Publications, New York]. The proposed kinematics are based on the assumption that wires are un-lubricated and therefore that no relative sliding between adjacent wires happens.

Computer modelling of wire strands and ropes part II: Finite element-based applications

“…Usabiaga and Pagalday [14] introduced a new theoretical procedure for modelling wire ropes subjected simultaneously to tensile and torsional loads. The procedure is based upon the beam assumption and takes account wire by wire of the double helical wires on the basis of general thin rod theory [15].…”

Strength analysis of composite cables

“…Unlike most of the previous analytical solutions, he treated the wires as rods, allowing bending and torsion stiffness analysis. Usabiaga and Pagalday (2008), also using beam theory, developed an analytical solution for isotropic cables submitted to tensile stress considering rod rotation, but neglected the Poisson's effect, and verified a small difference with the results of Costello (1997) for Poisson's ratio of 0.0 and 0.3.…”

Helical Birods: An Elastic Model of Helically Wound Double-Stranded Rods

“…Using (30), (46), and the fact that the zeroth order birod moments M jr are zero we obtain expressions for the effective birod moments M ir . With a little algebra it we see there is no ensuing trigonometric dependence on s. We note that M 3r is constant and in the absence of forces N 1r and N 2r , M 1r and M 2r are also constant.…”

“…A number of authors have proposed various extensions or variations on this model [2,16,20,37] but they rely on the same geometric assumptions of elliptic cross-sections, which is not in general correct even if the rope remains unbent (see e.g., [29]). Alternative models make ad hoc assumptions regarding the kinematics of the constituent rods [12,46], but none of these works correctly treat the contact problem.…”