複數模態分析應用於相鄰結構物之阻尼最佳參數與主動控制研究

Complex modal analysis of optimal damper parameters and active control of adjacent structural systems

邱銘毅(Ming-Yi Chio)

指導教授 ： 王安培 ； 劉明宜

中原大學/工學院/土木工程研究所/碩士(2015年)

https://doi.org/10.6840/cycu201500873

摘要

本文最主要為研究兩棟相鄰且平行之結構物，文中算例以兩棟五層樓等高結構物和兩棟二十層樓等高結構物進行探討，首先，以自由振動為基礎，利用複數振態分析(complex modal analysis)計算系統各個振態之各項參數，包括自然頻率、阻尼頻率、阻尼比、振動型態，以及繪製阻尼比、阻尼器阻尼係數與阻尼器勁度之關係曲面，並推估各個振態之最佳阻尼比與對應的阻尼器阻尼係數和阻尼器勁度；接著，在阻尼器最佳參數的條件下，執行強迫振動，亦即當平行結構系統受到地震力作用時，分別進行被動控制，以及利用具有可處理系統不確定性且運算簡單等優點的模糊滑動模式控制(fuzzy sliding mode control)演算法進行主動控制；最後，比較系統在未控制、被動控制與主動控制等三個狀態下，評估阻尼器的振動控制效能。透過研究成果可瞭解平行結構系統之動力特性與耦合行為，以及黏彈性阻尼器對於平行結構系統振動控制之成效，期望提供國內既有集合式住宅結構安全評估，以及新建集合式住宅結構設計分析的參考。

關鍵字

平行結構控制、複數模態、模糊理論、滑動模式

並列摘要

The objective of study is researching adjacent structures with attached dampers , this study discussed five-floor adjacent structures and twenty-floor adjacent structures as an example. Based on the free vibration theory, the complex modal analysis is presented to calculate the natural frequency, damped frequency, damping ratio, mode shape and the curve of damping ratio versus damper coefficient for each mode of the system. The optimal damping ratio with the corresponding damper coefficient and damper stiffness for each of the system can therefore be obtained. Under considerations of these optimal damper parameters, the forced vibration analysis is conducted to calculate the time histories of structural response under seismic excitation for four types of systems: without control, passive control, fuzzy sliding mode control and neural network control. The results can be used to assess the effectiveness of attached dampers, as well as to capture the dynamic characteristics of adjacent structures.

並列關鍵字

Adjacent Structures,Complex Mode,Fuzzy Theory ,Sliding Mode

參考文獻

周偉權 (2009)，「模糊滑動模式於相鄰結構之控制」，中原大學土木工程研究所碩士論文，中壢市，台灣。

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