Construction of Mathematical Model for the Bending State of Braided Wire Rope

The characteristics of spatial structure and winding forming principle of braided wire rope under bending condition are analyzed. Establish the local coordinate system of the wire rope strand and the center line of the strand. The transformation matrix of each coordinate system is derived by using the theory of differential geometry and spatial coordinate transformation, and the mathematical model of the bending state of wire rope strand and wire center line is established. The geometry model of the model which lay a theoretical foundation for the analysis of the mechanical properties of the braided wire rope is established on the basis of mathematical model.