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研究生:蘇宇宏
研究生(外文):Yu Hung Su
論文名稱:多元調諧質量阻尼器之樓板振動控制
論文名稱(外文):Floor Vibration Control Using Multiple Tuned Mass Dampers
指導教授:林其璋林其璋引用關係
指導教授(外文):Chi-Chang Lin
學位類別:碩士
校院名稱:國立中興大學
系所名稱:土木工程學系
學門:工程學門
學類:土木工程學類
論文種類:學術論文
論文出版年:2004
畢業學年度:92
語文別:中文
論文頁數:94
中文關鍵詞:多元調諧質量阻尼器樓板振動控制最佳化設計
外文關鍵詞:Multiple Tuned Mass DampersFloor Vibration ControlOptimization design
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本文主要探討樓板結構受外力擾動後之動態特性及樓板結構裝設多元調諧質量阻尼器(Multiple Tuned Mass Dampers, MTMD)受外力作用下垂直振動反應(包括位移與加速度)之降低效用。本文首先探討樓板結構裝設MTMD之減振原理,並針對裝設於不同位置、不同質量比及不同配置方式之MTMD對樓板結構反應降低的效用比較,求得MTMD的最佳裝設位置並決定MTMD之個數,然後再以求得的最佳裝設位置與個數,求得一組MTMD的最佳質量、阻尼以及勁度係數值,作為設計MTMD時的依據,並以不同的外力擾動,數值模擬驗證其可行性,本文期望藉由MTMD的消能減振效果,提高原樓板結構的抗振能力。
This paper deals with the analysis of dynamic characteristics of floor structure under different external forces and how to use the control devices such as Multiple Tuned Mass Dampers (MTMD) to reduce the dynamic responses of the floors. In the first part, the vibration control philosophy and optimal design of MTMD are presented and the optimal MTMD parameters will be determined. In the second part, in order to prove the effectiveness of MTMD, and propose a mathematical model of the floors under different external forces to verify the effectiveness of MTMD, and expects the response of the floors to be decreased by the MTMD devices.
謝誌 i
中文摘要 ii
Abstract iii
目錄 iv
表格目錄 vi
圖形目錄 vii
第一章 緒論 1
1.1 研究動機與目的 1
1.2 文獻回顧 2
1.3 本文內容 5
第二章 樓板結構裝設MTMD之設計理論 7
2.1樓板結構自然振動頻率推導 7
2.2樓板結構裝設MTMD之運動方程式推導 10
2.3轉換函數 16
2.4均方反應與均方反應比 18
2.3樓板結構裝設MTMD之參數最佳設計 19
第三章 MTMD控制參數對控制效用之影響 21
3.1樓板結構裝設STMD之第一模態振動控制 21
3.2樓板結構裝設STMD之第二、三模態振動控制 23
3.3樓板結構裝設MTMD之振動控制 25
3.3.1 算盤式多元調諧質量阻尼器 25
3.3.2 十字型多元調諧質量阻尼器 27
3.4不同配置MTMD之效用探討 29
第四章 MTMD之控制效用 31
4.1白噪音外力 32
4.2實測微震歷時反應 32
4.3步行外力 34
第五章 結論與建議 36
參考文獻 40
符號表 46
表格 48
圖形 57
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