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Optimal design of tuned inerter dampers with series or parallel stiffness connection for cable vibration control
Author(s) -
Shi Xiang,
Shi Wei,
Lin Kun,
Xing Lanchang,
Zhu Songye
Publication year - 2021
Publication title -
structural control and health monitoring
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.587
H-Index - 62
eISSN - 1545-2263
pISSN - 1545-2255
DOI - 10.1002/stc.2673
Subject(s) - stiffness , inertance , damper , vibration , structural engineering , parametric statistics , engineering , vibration control , control theory (sociology) , series and parallel circuits , optimal design , computer science , acoustics , mathematics , mechanical engineering , control (management) , electrical engineering , physics , voltage , machine learning , artificial intelligence , statistics , tube (container)
Summary 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.