摘要为解决超高层建筑在强风作用下遭受涡旋脱落的影响可能会出现大幅振动问题，提出将高性能串并联调谐质量阻尼器惯容器 (Tuned Tandem Mass Dampers‐Inerters, TTMDI) 系统用于超高层建筑横风向风致振动控制。在频域内，推导出超高层建筑-TTMDI系统的峰值响应公式，进而定义优化准则，并采用模式搜索法进行控制装置参数寻优。以某超高层建筑为例，考虑TTMDI系统的不同拓扑形式和总惯容质量比，分别从其控制有效性、刚度和阻尼系数、冲程、惯性力和鲁棒性方面，对TTMDI性能进行评估，并与调谐质量阻尼器(Tuned Mass Damper, TMD)，串并联调谐质量阻尼器(Tuned Tandem Mass Dampers, TTMD)和调谐质量阻尼惯容器(Tuned Mass Damper‐Inerter, TMDI)进行了比较。数值结果表明：TTMDI具有更好的风致振动控制有效性和鲁棒性。此外，当拓扑或总惯容质量比增大到一定程度时，TTMDI只需要一个连接阻尼；而且，TTMDI系统对总阻尼的需求不到TMDI系统的一半，更易于实现。
Abstract：In order to solve the problem of large amplitude vibration of super tall building susceptible to vortex shedding under the strong wind, the tuned tandem mass dampers-inerters (TTMDI) was proposed for cross wind-induced vibration control of super tall building. In the frequency domain, the peak responses of the structure furnished with the TTMDI were formulated, and the criterion for the optimum searching was then defined. Parameter optimization of the TTMDI was conducted by resorting to pattern search algorithm. Taking a super-tall building as a numerical example, considering TTMDI with different inertial properties configured in different topologies, the performance evaluation on the TTMDI included its control effectiveness, stiffness and damping coefficient, strokes, inerter forces and robustness. For purposes of further comparison, the optimum results of the tuned mass damper (TMD), tuned tandem mass dampers(TTMD) and the tandem mass damper-inerter(TMDI) were also included into consideration. Numerical results demonstrate that TTMDI system has superior control effectiveness and robustness. Furthermore, when topology or inertia ratio increase to a certain extent, the TTMDI only needs a linking damping. Likewise, the total damping requirement of TTMDI system is less than half that of TMDI system, thus being easier to implement.
路畅，李春祥，曹黎媛. 基于拓扑布置的超高层建筑TTMDI风致振动控制[J]. 振动与冲击, 2022, 41(9): 244-252.
LU Chang, LI Chunxiang, CAO Liyuan. Wind-induced vibration control of super high-rise building TTMDI system based on topological layout. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(9): 244-252.
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