Abstract Bending behaviors can be critical in simulating cables, such as the local effects close to cable end regions or dynamic properties of short cables. Wires form up the cable and tend to slip relative to each other under bending load. Complex interactions among wires make the modelling of cables challenging. In this work, we propose an analytical model for bending parallel wire cables in which the cable cross section with layered wires is idealized as a composite section of the laminated beam. The slips and interactive forces among wires are modelled by the interfacial slips and the resulting interactive forces at the interfaces of the composite section. In this way, the bending cable can transform into an in-plane stress state laminated beam. The state space method is then applied to solve the problem, and the numerical results agree well with the experimental results and analytical formulations in the literature. Bending stiffness of the cable differs from lower bound to upper bound according to the anti-slip ability among wires, from full-slip state to no-slip state. The overall deflection, as well as the local deformations and stresses of the bending cable, can be simultaneously obtained. These results show that the present model is efficient and accurate in simulating bending cables, which is capable of extending to more cable studies.

中文翻译：

---

考虑导线间相互作用的平行电缆弯曲分析模型

摘要 弯曲行为在模拟电缆中非常重要，例如靠近电缆末端区域的局部效应或短电缆的动态特性。电线形成电缆并在弯曲载荷下趋向于相对于彼此滑动。电线之间复杂的相互作用使电缆建模具有挑战性。在这项工作中，我们提出了一种用于弯曲平行电线电缆的分析模型，其中具有分层电线的电缆横截面被理想化为层压梁的复合部分。线之间的滑移和相互作用力由界面滑移和复合截面界面处产生的相互作用力建模。这样，弯曲电缆就可以转变为面内应力状态的层合梁。然后应用状态空间方法来解决问题，数值结果与文献中的实验结果和解析公式吻合良好。电缆的抗弯刚度根据电线之间的防滑能力从下限到上限不同，从全滑状态到无滑状态。可以同时获得弯曲电缆的整体挠度以及局部变形和应力。这些结果表明，本模型在模拟弯曲电缆方面是有效和准确的，能够扩展到更多的电缆研究。以及弯曲电缆的局部变形和应力，可以同时获得。这些结果表明，本模型在模拟弯曲电缆方面是有效和准确的，能够扩展到更多的电缆研究。以及弯曲电缆的局部变形和应力，可以同时获得。这些结果表明，本模型在模拟弯曲电缆方面是有效和准确的，能够扩展到更多的电缆研究。