Abstract Cable-supported structure is a common system widely used in engineering, with the rapid development of the infrastructure and transportation industry, its structural form has become more and more complicated. Multi-segment cable system, which consists of a suspension cable and several lateral supports, such as the cable-damper system, the main cable of a suspension bridge, etc., is one of the important cable support systems. Due to the low structural rigidity and damping, its dynamic problems have always been the focus of engineering. To obtain a more general conclusion, a unified dynamic model considering the effect of cable sag, additional cable force, flexural stiffness, and the support stiffness of lateral components are considered in this paper for the first time. However, the exact analysis of this model is difficult, in view of this, the dynamic stiffness method is employed in this paper to investigate the dynamic characteristic of the multi-segment cable system. The accuracy of the proposed method is verified by comparing with finite element solutions and experimental results. Results show that the position of lateral supports has a strong coupling effect and influence the lower-order mode more significantly than higher-order modes, and the maximum frequency value can be reached by installing the supports equidistantly.

中文翻译：

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多段电缆系统的精确动态分析

摘要 索支结构是工程中广泛使用的常用体系，随着基础设施和交通运输业的快速发展，其结构形式也越来越复杂。多段索系统由一根悬索和若干侧向支撑组成，如索阻尼系统、悬索桥主索等，是重要的索支撑系统之一。由于结构刚度和阻尼较低，其动力学问题一直是工程研究的重点。为了获得更一般的结论，本文首次考虑了考虑索垂度、附加索力、弯曲刚度和侧向构件支撑刚度影响的统一动力学模型。然而，这个模型的精确分析是困难的，鉴于此，本文采用动态刚度法研究多段索系统的动态特性。通过与有限元解和实验结果的比较，验证了所提出方法的准确性。结果表明，横向支架的位置具有很强的耦合作用，对低阶模态的影响比高阶模态更显着，等距安装支架可以达到最大频率值。