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Free vibrations of hybrid cable networks with external dampers and pretensioned cross-ties

机译：具有外部阻尼器的混合电缆网络的自由振动和预张紧交叉关系

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摘要

This study proposes a refined model, by taking the cable sag and cross-tie pretension into account, to investigate the effects of cross-ties on dynamics of a hybrid cable network sys-tem. Based on a typical hybrid system, i.e., two cables with one pretensioned cross-tie and two near-anchorage external dampers, the system characteristic equation is formulated via the complex modal analysis method, and the influence of cross-tie pretension on the dynamics of the system is discussed. Then, simplified analytical methods, based on the taut-string model, are presented and compared with the refined analysis method. The ana-lytical results indicate that the effect of cross-tie pretension on the dynamic characteristics of hybrid systems is closely related to anchorage form of the cross-tie. When the cross-tie is not connected to the ground, it could apparently change the dynamic characteristics of the system due to its pretension. Nevertheless, when the cross-tie is connected to the ground, the cross-tie pretension marginally influences the system dynamics. The proposed simpli-fied analytical method, which considers the cable tension change caused by cross-tie pre-tension, is shown to be accurate as compared with the refined analytical method except for the first two modes of the system. However, completely neglecting cable sag and cross-tie pretension in dynamic analyses of hybrid cable networks leads to considerable inaccura-cies of the estimated system frequencies and modal damping ratios.
机译：本研究提出了一种精致的模型，通过考虑到电缆下垂和交叉捆绑预感，研究交叉关系对混合电缆网络系统的动态的影响。基于典型的混合系统，即两个具有一个预张紧交叉系的电缆和两个近锚固外部阻尼器，通过复杂的模态分析方法配制了系统特性方程，以及交叉束缚预拉伸对动力学的影响讨论系统。然后，提出并将简化的分析方法与Raut-String模型提出并与精制分析方法进行了比较。 ANA-Lytical结果表明，交叉系带对混合系统的动态特性的影响与交叉系的锚固形式密切相关。当交叉系数未连接到地时，它可能由于其预宽而显然改变了系统的动态特性。然而，当交叉系连接连接到地面时，交叉系数的预拉伸略微影响系统动态。所提出的简化分析方法，其考虑了交叉系带张力引起的电缆张力变化，与除系统的前两种模式之外的精制分析方法相比，如除了改进的分析方法相比，所示是准确的。然而，在混合电缆网络的动态分析中完全忽略了电缆下垂和交叉扎带，导致估计系统频率和模态阻尼比的相当大的不一致。

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