Abstract: A steel cable element model was established based on ANCF that was suitable for the cross-section deformation and rotation problems of cables. The deformations might be computed by the higher-order shape function. The deformations and dynamic hysteresis of cables were calculated considering the gravity. The rationality of the model was verified by the analytical solutions of quasi-static experiments and dynamic loads. The quasi-static deformations and dynamic performance of cables were numerically analyzed by MATLAB with various load cases， material properties and geometrical parameters. The results show that the cable stiffness depends mainly on the diameter. The initial tension and cable length have limit effects on the cable structure deformations. The dynamic hysteresis of steel cable mainly depends on the length and material properties. The cable structures with larger diameters and proper initial tensions have the higher stiffness and smaller deformation，which improves the performance in long-distance transmission task.

Key words: absolute nodal coordinate formulation（ANCF）, steel cable, deformation, hysteresis, initial tension

摘要： 基于绝对节点坐标法并引入高阶位移插值函数，建立可描述钢索截面变形和旋转的钢索单元模型。考虑重力，计算轴向载荷下钢索结构变形及动态迟滞效应，采用准静态实验和动态载荷下的解析解验证了模型合理性。对不同载荷、结构参数及材料特性的钢索进行了准静态变形和动力学响应迟滞仿真分析。结果表明：轴向载荷下钢索结构的刚度主要受其直径影响，初始张力和钢索长度对变形的影响有限，动态响应迟滞时间由其自身长度及材料特性决定。相同条件下采用大直径钢索并适当增大初始张力，可在一定程度上增大钢索结构刚度，减小传动过程中的末端变形，改善长距离工况下钢索的传动性能。

关键词: 绝对节点坐标法, 钢索, 变形, 迟滞, 初始张力