Inerter dampers (IDs) and other inerter‐based vibration absorbers have elicited growing interest for vibration mitigation of stay cables. This study systematically investigates the vibration mitigation mechanism of tuned IDs (TIDs) for stay cables based on a continuous cable model. A TID consists of an ID connected with a spring stiffness in series (TID‐S) or parallel (TID‐P). On the basis of systematical parametric analyses, the impact of stiffness in series or parallel connections is evaluated, and the interrelations among ID, TID‐S, and TID‐P are elaborated. Subsequently, a detailed tuning procedure is summarized. Two optimal tuning formulas are also obtained to facilitate the rapid design of TID‐S and TID‐P. According to the optimized results, the damping ratios contributed by ID, TID‐S, or TID‐P to a stay cable are essentially determined by the inertance value. When the inertance deviates from the optimal value, the performance of ID drops significantly, but this adverse effect can be mitigated by tuning the stiffness in TID‐S or TID‐P.

中文翻译：

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带有串联或并联刚度连接的调谐惯性阻尼器的优化设计，用于电缆振动控制

惯性阻尼器（ID）和其他基于惯性的减振器引起了人们对减少斜拉索振动的兴趣。这项研究基于连续电缆模型，系统地研究了斜拉索的调谐ID（TID）的减振机制。TID包含一个ID，该ID与串联（TID-S）或并联（TID-P）的弹簧刚度相连。在系统的参数分析的基础上，评估了串联或并联连接的刚度的影响，并详细说明了ID，TID-S和TID-P之间的相互关系。随后，总结了详细的调整过程。还获得了两个最佳调整公式，以促进TID‐S和TID‐P的快速设计。根据优化结果，ID，TID‐S，或TID-P与斜拉索的连接基本上由惯性值确定。当惯性偏离最佳值时，ID的性能会大大下降，但是可以通过调整TID-S或TID-P的刚度来减轻这种不利影响。