基于 Pro/E 的圆弧弯曲钢丝绳建模理论及几何实现

摘要

In order to establish the bent model of multi-strands wire rope more exactly,the geom-etry relations of the various steel wires were analyzed about the bent wire rope in pace.Based on the theory of space alternate coordinate,the original parametric equation of the center line was deduced to the various steel wires in the bent wire rope.Using the capabilities of parametric and surface modeling of Pro/E,the solid modeling of the 6×7IWS bent wire rope was completed.The mathematical model of spiral steel wire rope lays a theoretical foundation for any bending wire rope and provides a possibil-ity about theoretical analysis of the mechanical properties for the bent wire rope.%为了精确建立多股圆弧弯曲钢丝绳空间实体模型，对双螺旋钢丝绳各钢丝空间几何位置关系进行了分析，运用空间坐标变换理论建立了圆弧弯曲钢丝绳数学模型，推导出圆弧弯曲钢丝绳各钢丝中心线的参数方程，结合 Pro/E 的参数化建模和曲面造型功能，完成了6×7IWS 圆弧弯曲钢丝绳几何模型的建立。所获结论为弯曲状态螺旋钢丝绳数学模型的建立奠定了理论基础，为圆弧弯曲状态下钢丝绳的弹性特性理论分析提供了可能。