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.
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