樓房結構裝設調諧質量阻尼器之最佳化參數研究

Investigation on Optimal Parameters of Tuned Mass Dampers in Building Structures

張益賓(Yi-Bin Chang)

指導教授 ： 王安培 ； 劉明怡

中原大學/工學院/土木工程研究所/碩士(2014年)

https://doi.org/10.6840/cycu201400960

摘要

本文主旨為以複數模態分析探討調諧質量阻尼器(Tuned Mass Damper, TMD)之最佳化參數，並與Den Hartog經驗公式以及遺傳演算法比較三者之間之減振效用評估。首先，建立結構系統，推導裝設阻尼器的樓房結構之運動方程式；接著，進行複數模態分析推估阻尼器之最佳化參數；最後，進行時間域分析，分別針對受地震力作用下之樓房結構在未控制、被動控制以及以模糊滑動模式控制為基礎得主動控制等三種條件下，計算其振動反應，並評估阻尼器之減振效用。此外，本研究分別比較單層樓房結構與三層樓房結構加裝TMD在EL Centro地震力下的減振作用。結果顯示複數模態分析所得之TMD最佳化參數對於低阻尼樓房結構具有最優異之減振效用，遺傳演算法所得結果次之，Den Hartog公式所得結果則較不顯著；遺傳演算法所得之TMD最佳化參數對於高阻尼樓房結構具有最優異之減振效用，Den Hartog公式所得結果次之，複數模態分析所得結果則較不顯著。

關鍵字

複數模態分析 ； 調諧質量阻尼器 ； 樓房結構 ； 模糊滑動控制模式

並列摘要

Purpose of this paper is to explore the complex modal analysis tuned mass damper (TMD) of the optimal parameters, and with the vibration between the empirical formula of Den Hartog and genetic algorithms compare the three utility assessment. The structural system is developed by deriving the equations of motion for a building structure with a damper. Based on these governing equations, the optimal parameters of the damper are determined using the complex modal analysis in the frequency domain analysis. Under considerations of these optimal parameters, the time domain analysis is conducted to calculate the time histories of structural response for one types and three types of systems: without control, passive control and active control, i.e., fuzzy sliding mode control. The results indicate that the effectiveness of the complex modal analysis is relatively higher than that of the genetic algorithms in low damping building structure, whereas the effectiveness of the empirical formula of Den Hartog is comparatively insignificant; the effectiveness of the genetic algorithms is relatively higher than that of the empirical formula of Den Hartog in high damping building structure, whereas the effectiveness of the complex modal analysis is comparatively insignificant.

並列關鍵字

tuned mass damper ； complex modal analysis ； building structure ； fuzzy sliding mode control

參考文獻

楊智喬(2014)「減振裝置於樓房結構控制之應用」，中原大學土木工程研究所碩士論文，中壢市，台灣。

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