Research on Mathematical Model of Anti-twist Braided Wire Rope

Abstract

The mathematical model of anti-twist braided wire rope structure is the basis for studying the mechanical problems of wire rope. According to the forming principle of anti-twist wire rope, the structure and dimensional characteristics of wire rope are analyzed. Applying the differential geometry theory and principle of coordinate transformation, the spatial curve parametric equations were derived. Deduced the mathematical model of anti-twist braided wire rope. On the basis of this mathematical model ,a YS11-8×19 wire rope was taken as an example based on the spatial curve parametric equations, an geometric entity model of the anti-twist braided wire rope was established using the three-dimension software. Compared geometric model with actual anti-twist braided wire rope, errors of structure parameters are in the range of allowable error. The mathematic model's veracity is verified, which lay the foundation for finite element analysis of wire rope.

Distributions of stress and deformation in a braided wire rope subjected to torsional loading

“…With the increase in the number of revolutions per meter, the tensile strength of each meter of braided fiber rope was found to decrease by approximately 4% per revolution. Our research group [20][21][22] developed mathematical and geometric models of braided wire ropes and conducted a numerical simulation on their stress and strain characteristics for the tensile stringing of transmission lines. We then verified the effectiveness of the models by conducting a tension test.…”