# 臺灣博碩士論文加值系統

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 本文的主要目的在於使用調諧液柱阻尼器(Tuned Liquid Column Damper, TLCD)來對承受外部簡諧負載之阻尼結構系統進行減振。本文首先利用拉格朗日方程式(Lagrange’s equations)來推導調諧液柱阻尼器的元素性質矩陣，然後利用牛頓第二運動定律推導多自由度彈簧-阻尼-質量主系統的整體性質矩陣。接著則利用有限元素法的矩陣組合技巧來組合上述兩種矩陣，以獲得安裝有調諧液柱阻尼器之多自由度彈簧-阻尼-質量系統的運動方程式。在數值分析中，吾人除了研究不同種類的系統裝設調諧液柱阻尼器的減振性能，一些和本研究主題相關的重要參數，例如：質量比、自然頻率比、激振頻率比、阻尼比…等，亦在本文加以探討。由本文所提出的數值結果可以發現，上述調諧液柱阻尼器的相關參數對多自由度彈簧-阻尼-質量主系統的減振有很大的影響。
 The objective of this paper is to study the use of tuned liquid column damper (TLCD) for vibration reduction of a damped strructural system due to external harmonic loads. First of all, the element property matrices of the TLCD element are derived using Lagrange’s equations, and then the overall property matrices of the multi-degrees-of-freedom spring-damper-mass main system are determined using Newton’s second law. Next, the above-mentioned property matrices are combined, by means of assembly technique of finite element method, to yield the equations of motion of the entire vibrating system (i.e., the multi-degrees-of-freedom spring-damper -mass main system installed with a TLCD). Some important factors closely relating to the current research topic, such as mass ratio, natural frequency ratio, excitation frequency ratio, damping ratio, etc, are investigated. From the presented numerical results, it can be found that the above-mentioned parameters of TLCD have significant influence on the vibration reduction of multi-degrees-of-freedom spring-damper-mass main system.
 摘要…………………………………………………………………………IVAbstract…………………………………………………………………….IV謝誌………………….………………………………………………………IV目錄………………………………………………………………………….IV表目錄………………………………………………………………...……IV圖目錄………………………………………………………………….….VIII符號說明……………………………………………………………….……XI第一章 緒論………………………………………………………………...11.1 研究動機與目的……………………………………………….…11.2 文獻回顧………………………………………………………….41.3 研究方法………………………………………………………….6第二章 安裝有調諧液柱阻尼器之水平運動主系統的運動方程式與 動態放大因子……………………………………………………...82.1 調諧液柱阻尼元素(TLCD element) …………………………...82.2 多自由度彈簧-阻尼-質量系統的性質矩陣……………….…..122.3 安裝有調諧液柱阻尼器之水平運動主系統的運動方程式…….152.4 多自由度彈簧-阻尼-質量系統的靜態變形量………………….172.5 安裝有調諧液柱阻尼器之多自由度彈簧-阻尼-質量系統的動態放大因子(dynamic magnification factor)……………………....18第三章 單自由度彈簧-阻尼-質量系統裝設一個調諧液柱阻尼器的振動分析……………………………………………………………….213.1 單自由度彈簧-阻尼-質量系統裝設一個調諧液柱阻尼器的動態放大因子………………………………………………………..213.2 數值分析………………………………………………………….253.2.1　阻尼器總質量的影響…………………………………...253.2.2　連通管內液體質量的影響……………………………...283.2.3　阻尼器等效彈簧常數的影響…………………………...303.2.4　阻尼器阻尼係數的影響………………………………...313.3 總結……………………………………………………………...32第四章 多自由度彈簧-阻尼-質量系統裝設一個調諧液柱阻尼器的振動分析……………………………………………………………….334.1 三自由度彈簧-質量系統的自由振動分析……………………...334.2 三自由度彈簧-阻尼-質量系統裝設一個調諧液柱阻尼器的強迫振動分析………………………………………………………..354.3 數值分析………………………………………………………...394.3.1　阻尼器截面積的影響…………………………………...414.3.2　阻尼器容器質量的影響………………………………...424.3.3　連通管內液體質量的影響……………………………...444.3.4　阻尼器內部氣體特異熱值的影響……………………...454.3.5　阻尼器之液體質量密度與運動黏性的影響…………...474.4 總結……………………………………………………………...48第五章 多自由度彈簧-阻尼-質量系統裝設多個調諧液柱阻尼器的振動分析……………………………………………………………….495.1 五自由度彈簧-質量系統的自由振動分析……………………...495.2 五自由度彈簧-阻尼-質量系統裝設多個調諧液柱阻尼器的強迫振動分析………………………………………………………..505.3 數值分析…………..……………………………………………...535.3.1　調諧液柱阻尼器裝設數量的影響…………………….545.4 總結……………………………………………………………...57第六章 結論與未來展望………………………………………………….586.1 結論………………...……………………………………………..586.2 未來展望…………………………………………………………59第七章 參考資料………………………………………………………….60
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 1 MR-TLCD應用於結構物減震之研究 2 多方向調諧液柱阻尼器應用於結構減振之研究

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