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標題: 扭轉耦合結構裝設調諧質量阻尼器之設計考量
Practical Considerations in Tuned Mass Damper Design for Torsionally-Coupled Buildings
作者: 黃騰慶
Huang, Teng-Ching
關鍵字: Tuned Mass Damper;調諧質量阻尼器;Torsionally Coupled Structure;扭轉耦合結構
出版社: 土木工程學系
摘 要本文探討多層樓扭轉耦合結構
受地震力作用下,被動調諧質量阻尼器 (TMD)降低結構反應的效用。 文
中依據扭轉耦合結構模態特性將其分類,以裝設 TMD 前後模態位移極小
化的方式設計 TMD 的參數,考慮地震作用在不同方向時, TMD 對各類結
構的控制效果, 並討論 TMD 之擺設方向、其在立面與平面的最佳位置。
研究結果發現: 可由結構的振態決定 TMD 的最佳擺設方向及最佳裝設立
面、平面位置, 同時,本文建議 TMD 選擇調諧的模態應由所欲降低反應
的自由度方向決定。 文中亦討論裝設兩向 TMD 時,其質量分配對控制效
TMD 依然可達減振的效果。 最後,以單層及五層扭轉耦合剪力樓房結構
受 El Centro 地震作用下之數值驗證最佳設計之 TMD 確實能有效降低

AbstractThis study investigates the
vibration control effectiveness of passivetuned mass dampers
(TMDs) for multi-story torsionally-coupled buildingstructures
under two-directional horizontal earthquake excitations.The
general torsionally-coupled structures are classified into
threecategories according to their modal orders in translation
and rotationdirections. The optimum TMD's system parameters
are determined byminimizing the mean-square modal
displacement response ratio, whichthe TMD is designed to tune,
between the structure with and withoutTMD under earthquake
excitation from the most critical direction.Extensive studies
are performed to examine the optimum TMD's locationsin plane
and in height, and the earthquake direction on the
controleffectiveness of TMDs for each category of structure. It
is concludedfrom theoretical developments and numerical
results that the TMD isdesigned to tune the mode which makes
most contribution to the totalresponse of the structure. The
optimum installation location andmoving direction of TMDs are
then determined from the mode shape valuewhich TMDs tune. As
two TMDs are used in reducing two horizontalresponses, this
study gives a rule to arrange the two masses to reducevibrations
in the largest amount. In addition, numerical results showthat
the mode shapes close to the mode which TMD tunes
aresignificantly changed even with small mass of TMD. This
observation isdifferent from those obtained from the
torsionally uncoupled planestructures. Numerical results
from both one- and five-storytorsionally-coupled buildings
subjected to 1940 El Centro earthquakeverify that the
proposed optimum TMDs can reduce the relativedisplacement
and absolute acceleration of the primary
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