Theory and Implementation of No-Joint Wire Rope Spatial Geometry Modeling

This paper takes a cross section of 6 x 7 + IWS wire rope as an example to complete the studies on a method of geometric modeling for no-joint wire rope and implementation of a 3D solid model. Frenet-Serret frame theory establishes three types of Frenet-Serret frame, which are double-helix winding straight line, single-helix winding arc, and double-helix winding arc, and it allows derivation of eight types of center line equation of wire. This paper has ascertained tangent condition of center lines of steel wires with the same name between arc and straight-line wire rope and closed condition of no-joint wire rope. It has been concluded that the length of steel wire must be an integer multiple of its lay pitch either in arc wire rope or in straight-line wire rope, and the name of wires in each wire rope must be consistent at the same time. Finally, using Pro/ENGINEER Wildfire 5.0 software generates a 3D solid model of no-joint wire rope.