Abstract Flexible rockfall barriers are protection systems against risks of falling rocks. Their complex behaviour is still not well understood and the development of relevant models allowing for quick calculations is a need toward the optimisation of such structures. The key issue is the modelling of the so-called ”curtain effect”, where the cable net slides along the supporting cables. The present paper proposes hence a model of sliding cable submitted to concentrated forces. It addresses the stability conditions of the centred finite difference scheme, especially in the framework of the Dynamic Relaxation Method where estimates are found for the best possible fictitious masses at nodes. Expressions are derived in the general case, but also for monotonically curved cables and looped cable elements or rings. Elementary problems are shown for validation, before a case study based on experiments conducted during the French National project C2ROP demonstrates the accuracy and the reliability of the proposed methodology. The present study is however limited to quasi-static loadings and therefore needs further developments to be extended to realistic dynamic cases which are discussed in the conclusion.

中文翻译：

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带动态松弛的落石屏障幕墙效应建模

摘要 柔性落石屏障是防止落石风险的保护系统。它们的复杂行为仍未得到很好的理解，并且需要开发允许快速计算的相关模型来优化此类结构。关键问题是所谓的“窗帘效应”的建模，其中电缆网沿着支撑电缆滑动。因此，本文提出了一种受集中力作用的滑索模型。它解决了中心有限差分方案的稳定性条件，特别是在动态松弛方法的框架中，在该框架中可以找到节点处可能的最佳虚拟质量的估计值。表达式是在一般情况下导出的，但也适用于单调弯曲的电缆和环形电缆元素或环。在基于法国国家项目 C2ROP 期间进行的实验的案例研究证明了所提议方法的准确性和可靠性之前，显示了基本问题以供验证。然而，目前的研究仅限于准静态载荷，因此需要进一步发展以扩展到结论中讨论的现实动态案例。