應用諧調質量阻尼器及諧調液體阻尼器於台北101大樓減振之探討

Application of Tune Mass Damper and Tune Liquid Damper to the Vibration Control on Taipei 101

王振平(Jen-Ping Wang)

指導教授 ： 陳永祥

共同指導教授 ： 黃維信(Wei-Shien Hwang)

國立臺灣大學/工學院/土木工程學研究所/碩士(2008年)

https://doi.org/10.6342/NTU.2008.00584

摘要

本論文主要是介紹諧調質量阻尼器(Tuned Mass Damper或TMD)與諧調液體阻尼器(Tuned Liquid Damper或TLD)之被動控制理論及參數設計，及探討應用於台北101大樓承受地震力以及風力作用下的減振效果。
諧調液體阻尼器利用受到水平外力震動時內部液體之激盪行為(sloshing)，進而與結構物產生互制反應。本文採用勢流理論(potential flow)，建立諧調液體阻尼器水槽之非線性液體激盪行為，於受外力擾動作用下，利用邊界元素法及Lagrangian座標描述自由液面，並配合泰勒級數(Taylor series)對時間展開，求得某時刻邊界上速度勢及速度勢梯度分佈，進而利用白努力方程式(Bernoulli's equation)求得水槽側壁之壓力分布，最後由壓力積分得底部剪力。將此剪力施加於結構物上，並利用狀態空間向量法(state space)求得下一時刻之結構反應，反覆疊代運算可得結構與液體之動力反應。

關鍵字

諧調質量阻尼器 ； 諧調液體阻尼器 ； 台北101大樓

並列摘要

In this thesis, the passive control theorem and the design parameters of Tuned Mass Dampers (TMD) and Tuned Liquid Dampers (TLD) will be introduced. Both methods are applied to TAIPEI 101 subjected to earthquake or wind loading as the case study and the efficiency of both dampers will be discussed.
In this study, a TLD with water inside a rigid tank interacts with a structure subjected to a horizontal excitation. The nonlinear sloshing is considered inside the tank based on the theory of potential flows. The Boundary Element Method with the Lagrangian coordinate description of the free surface and the Taylor series expansion of time are used to solve the transient velocity potential and its normal gradient on the free surface. The hydrodynamic pressure on the tank wall can be obtained by using Bernoulli’s Equation, and then the base shear force can be calculated from the hydrodynamic pressure on the tank wall. The base shear force will be counted to the structure at the next time step. Finally, the structure as well as the liquid transient responses can be resulted by turns.

並列關鍵字

Tune Mass Damper ； Tune Liquid Damper ； Taipei 101

參考文獻

14.吳軒宇 (2007) ，「應用諧調質量阻尼器及諧調液柱阻尼器於台北101大樓減振之可行性探討」，碩士論文，國立台灣大學土木工程學研究所。

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