TMD 應用於橋梁受車輛與地震載重之減振研究

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廖健閔(Chien-Min Liao) 查詢紙本館藏

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土木工程學系

論文名稱

TMD 應用於橋梁受車輛與地震載重之減振研究

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摘要(中)

本研究主要探討橋梁受車輛與地震載重作用所造成橋面板的振動反應，並期望尋找出適當的被動式調諧質量阻尼裝置(Tuned Mass Damper)設計參數以達到橋梁減振的目標。
研究中採用向量式有限元素法(VFIFE)建立結構動力數值模型，並在其中加入移動載重分析功能，將車體質量簡化為集中載重後再將移動載重以等值節點力的方式加入程式中進行分析，探討簡支型橋梁與連續型橋梁受到移動載重作用下之動態反應。在模型中加入TMD並調整其設計參數與配置方式後，針對橋面板減振效果加以討論。接著以一座三跨連續梁橋為目標橋梁，將TMD安裝於橋軸方向控制橋梁受地震作用下之位移反應，觀察結構物於線性與非線性的行為中，TMD設計週期之變化與橋梁位移控制效果之關係，最後比較TMD與黏滯性阻尼之減振功效。
經由分析結果得知，橋梁在受到車輛載重或是地震載重作用下，結構於線性與非線性階段中，均能夠找到合適的TMD設計參數有效的降低目標橋梁之振動反應。

摘要(英)

This study discussed the dynamic response of bridges, which subjected to moving loads and earthquakes, and expect to mitigate the response of bridges by installing passive tuned mass damper (TMD). The purpose of this research is aimed to find the appropriate parameters for TMD to achieve the best performance of mitigating the dynamic response of bridges.
Vector Form Intrinsic Finite Element Method (VFIFE) was used to predict the bridges subjected to moving loads, which was simulated by equivalent nodal force. The daynamic behavior of simple support beam and continuous beam subjected to moving loads were discussed in this study. Besides, dynamic responses with considering different parameters and configurations of TMD were also been investigated. A three-span-continuous bridge with TMD in axial direction is used to reducing the displacement of bridge which subjected to earthquake. The effects of displacement control with the relation between non-linear structures and design period of TMD had been discussed. The comparison between viscous damper and TMD were shown at last.
The numerical results showed that the TMD can successfully reduced the dynamic response of bridges under moving loads or earthquakes while the structure is either in linear or non-linear behavior.

關鍵字(中)

★ 移動載重
★ 地震
★ 調諧質量阻尼
★ 向量式有限元素法
★ 橋梁

關鍵字(英)

論文目次

摘要……………………………………………………………………….I
Abstract…………………………………………………………………..II
目錄…………………………………………………………………..III
圖目錄.……………………………………………………………….VI
表目錄……………………………………………………………...XIII
第一章緒論 1
1.1 研究背景與動機 1
1.2 文獻回顧 4
1.2.1 向量式有限元素法 4
1.2.2 移動載重 6
1.2.3 調諧質量阻尼裝置 8
1.3 研究內容 10
第二章向量式有限元素法與移動載重 12
2.1 向量式有限元素法分析移動載重 12
2.1.1 等值節點力 13
2.1.2 移動載重模擬方法 16
2.2 簡支梁受移動載重振動理論(姚忠達與楊永斌, 2000) 18
2.3 數值分析驗證 23
2.4 簡支梁之振動反應 24
2.5 連續梁之振動反應 36
2.5.1 分析模型 36
2.5.2 分析結果 37
第三章 TMD應用於橋梁受車輛載重之減振 43
3.1 受移動載重作用之橋梁與TMD系統運動方程式 43
3.2 TMD之基本理論與設計參數 48
3.2.1 雙自由度TMD系統介紹(Den Hartog, 1956) 48
3.2.2 TMD設計參數(Den Hartog, 1956) 52
3.3 數值分析結果與探討 57
3.3.1 不同車輛載重對橋梁反應之影響 60
3.3.2 TMD於橋梁受車輛低速通過下之減振效果 68
3.3.3 TMD頻率比與阻尼比對於橋梁反應的影響 76
3.3.4 不同TMD配置方式對於橋梁減振效果的討論 82
第四章 TMD應用於橋梁受地震載重之減振 90
4.1 數值分析模型與地震震波 90
4.2 橋梁受移動載重與地震作用下之反應 94
4.3 TMD於線性結構之減振效果 99
4.4 TMD於非線性結構之減振效果 103
4.5 TMD與黏滯性阻尼之減振效果比較 116
第五章結論與建議 122
5.1 結論 122
5.2 建議 125
參考文獻……………………………………………………………… 126

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指導教授

莊德興

審核日期

2014-6-26

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