Abstract Cables in cable-stayed bridges become increasingly long and interconnecting them using cross-ties to form a cable network is a promising method for suppressing their vibrations. Dynamics of such cable networks is complicated and not well-understood particularly for real networks consisting of many cables and cross-ties. This study proposes a general numerical model for free and forced vibration analyses of cable networks based on the component mode synthesis method. The model is developed by regarding each cable as a substructure and the dampers/cross-ties as massless interface elements. A coupling scheme is then presented to formulate the system model from the cable model and mechanical properties of the dampers/cross-ties. Model order reduction is realized for each cable using the modal truncation method in combination with generalized quasi-static correction modes to account for the damper/cross-tie induced discontinuity of cable responses at the connection points. Subsequently, free vibration analysis of typical cable networks has been conducted using the model, and the computed frequencies and mode shapes are found in excellent agreement with the close-form solutions, suggesting the effectiveness and accuracy of the method. Furthermore, the model is shown to be more efficient as compared to a finite difference model in forced vibration analysis of a three-cable network with an elastic cross-tie and near-anchorage dampers.

中文翻译：

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一种斜拉桥索网降阶建模的分量模态综合方法

摘要 斜拉桥中的索索越来越长，通过交叉扎带将索索连接起来形成索网是一种很有前景的抑制索索振动的方法。这种电缆网络的动力学是复杂的，特别是对于由许多电缆和交叉连接组成的真实网络来说并不容易理解。本研究提出了一种基于分量模式综合方法的电缆网络自由和受迫振动分析的通用数值模型。该模型是通过将每根电缆视为子结构而将阻尼器/横梁视为无质量界面元素来开发的。然后提出耦合方案，以根据电缆模型和阻尼器/横梁的机械特性来制定系统模型。使用模态截断方法结合广义准静态校正模式对每根电缆实现模型阶数降低，以解决连接点处电缆响应的阻尼器/交叉拉杆引起的不连续性。随后，使用该模型对典型电缆网络进行了自由振动分析，发现计算出的频率和模态形状与紧密形式的解非常吻合，表明该方法的有效性和准确性。此外，与具有弹性横拉杆和近锚固阻尼器的三缆网络的强迫振动分析中的有限差分模型相比，该模型显示出更有效。随后，使用该模型对典型电缆网络进行了自由振动分析，发现计算出的频率和模态形状与紧密形式的解非常吻合，表明该方法的有效性和准确性。此外，与具有弹性横拉杆和近锚固阻尼器的三缆网络的强迫振动分析中的有限差分模型相比，该模型显示出更有效。随后，使用该模型对典型电缆网络进行了自由振动分析，发现计算出的频率和模态形状与紧密形式的解非常吻合，表明该方法的有效性和准确性。此外，与具有弹性横拉杆和近锚固阻尼器的三缆网络的强迫振动分析中的有限差分模型相比，该模型显示出更有效。