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In-plane modal responses of two-cable networks considering cable bending stiffness effect
Engineering Structures ( IF 5.5 ) Pub Date : 2020-12-28 , DOI: 10.1016/j.engstruct.2020.111691
Amir Younespour , Shaohong Cheng

Cross-tie solution has proven to be effective in mitigating cable vibrations on cable-stayed bridges. In the formed cable network, the consisting cables are divided into shorter segments by cross-ties and thus significantly reduced their effective length. While bending stiffness plays an important role in the behavior of shorter cables, its effect has not been considered in any existing cable network analytical models. To assess the impact of cable bending stiffness on the in-plane dynamic response of cable networks, in the current study, an existing analytical model of a two-cable network is refined by taking into account the cable bending stiffness in the formulation. A set of closed-form solutions are derived to clearly reveal the impact of cable bending stiffness on the modal response of two-cable networks having different configurations. The proposed analytical model is validated by numerical simulations and the modal analysis results are compared with those of the corresponding taut-cable networks. It is found that the cable bending stiffness would influence all the modes of a cable network by increasing their modal frequencies, with the stiffening effect on the high order global and local modes being more considerable. If neglected, an underestimation of network fundamental frequency up to 7.1% could occur. Further, the cable bending stiffness has more effect on local modes than global modes. Some local modes could evolve into global modes. Nevertheless, the modal order is not affected by the presence of cable bending stiffness.



中文翻译:

考虑电缆弯曲刚度效应的两芯网络平面内模态响应

事实证明,交叉扎带解决方案可有效减轻斜拉桥上的电缆振动。在形成的电缆网络中,组成的电缆通过交叉绑带分成较短的段,因此有效地减少了电缆的有效长度。尽管弯曲刚度在较短电缆的行为中起着重要作用,但在任何现有的电缆网络分析模型中都没有考虑到其影响。为了评估电缆弯曲刚度对电缆网络的面内动态响应的影响,在当前研究中,通过考虑配方中的电缆弯曲刚度来完善现有的两芯​​电缆网络分析模型。得出了一组封闭形式的解决方案,以清楚地揭示电缆弯曲刚度对具有不同配置的双电缆网络的模态响应的影响。通过数值模拟验证了所提出的分析模型,并将模态分析结果与相应的拉紧电缆网络进行了比较。发现电缆的弯曲刚度将通过增加电缆的模态频率来影响电缆网络的所有模态,而对高阶全局模态和局部模态的强化作用则更为明显。如果忽略,可能会低估网络基本频率,最高可达7.1%。此外,电缆的弯曲刚度对局部模式的影响要大于整体模式。一些本地模式可能会演变为全局模式。但是,模态顺序不受电缆弯曲刚度的影响。

更新日期:2020-12-29
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