A component mode synthesis method for reduced-order modeling of cable networks in cable-stayed bridges
A component mode synthesis method for reduced-order modeling of cable networks in cable-stayed bridges
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DOI：
10.1016/j.jsv.2020.115769
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发表时间：
2021-01
影响因子：
4.7
通讯作者：
Lin Chen;Yuyuan Xu;Limin Sun
中科院分区：
文献类型：
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作者：
Lin Chen;Yuyuan Xu;Limin Sun
斜拉桥中的拉索变得越来越长，利用交叉拉索将它们连接起来形成索网是一种很有前途的抑制其振动的方法。这种电缆网络的动力学是复杂的，并且没有被很好地理解，特别是对于由许多电缆和交叉纽带组成的真实网络而言。提出了一种基于分量振型综合法的索网自由振动和强迫振动分析的通用数值模型。该模型将每根拉索视为一个子结构，将阻尼器/横拉索视为无质量界面单元。然后提出了一种耦合方案，从拉索模型和阻尼器/横拉索的力学特性来建立系统模型。采用模式截断法和广义拟静力修正模式相结合的方法对每根拉索进行了模型降阶，以考虑阻尼器/横拉索在连接点引起的拉索响应的不连续性。随后，利用该模型对典型索网进行了自由振动分析，计算出的频率和振型与闭合解吻合较好，表明了该方法的有效性和准确性。此外，与有限差分模型相比，该模型在分析具有弹性交叉系和近锚定阻尼器的三索网络的强迫振动时具有更高的效率。
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.