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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 鍾立來 | |
dc.contributor.author | Jing Jhang | en |
dc.contributor.author | 章 靖 | zh_TW |
dc.date.accessioned | 2021-06-15T16:42:14Z | - |
dc.date.available | 2015-08-16 | |
dc.date.copyright | 2015-08-16 | |
dc.date.issued | 2015 | |
dc.date.submitted | 2015-08-11 | |
dc.identifier.citation | [1]、Hermann Frahm(1911). “Device for Damping Vibrations of Bodies. ”
[2]、Den Hartog J.P.(1956) “Mechanical Vibrations 4th Edition”, McGraw-Hill, New York. [3]、Fahim Sadek, Bijan Mohraz, Andrew W. Taylor, “A Method of Estimating The Parameters of Tuned Mass Dampers for Seismic Applications. ” [4]、張民岦 “淺談調諧式質量阻尼器”,中華技術期刊,67期 (2005.7)。 [5]、R. Lourenco, A. J. Roffel, S. Narasimhan. “Adaptive Pendulum Mass Damper for the Control of Structural Vibrations. ” [6]、Richard Lourenco. “Design Construction and Testing of an Adaptive Pendulum Tuned Mass Damper. ” [7]、Mahendra P. Singh, Sarbjeet Singh and Luis M. Moreschi ”Tuned Mass Dampers for Response Control of Torsional Buildings. ”, Earthquake Engineering Structure Dynamic (2002) [8]、Jin-Min Ueng, Chi-Chang Lin and Jer-Fu Wang “Practical Design Issues of Tuned Mass Dampers for Torsionally Coupled Buildings under Earthquake Loadings. ” (2008) [9]、Jose L. Almaz ´ an, Juan C. De la Llera, Jos ´ e A. Inaudi, Diego L ´ opez-Garc ´ ´ıa , Luis E. Izquierdo, “A Bidirectional and Homogeneous Tuned Mass Damper: A New Device for Passive Control of Vibrations.” [10]、鍾立來、吳賴雲、林廷翰. “雙擺長摩擦單擺型調諧質量阻尼器減振效益之 研究” [11]、王振平、陳永祥 “應用調諧質量阻尼器於台北101大樓減振之探討” [12]、吳軒宇、陳永祥 ”應用調諧質量阻尼器及調諧液柱阻尼器於台北101大樓 減振支可行性探討” [13]、連冠華、鍾立來、吳賴雲 “可變擺長單擺式調諧質塊阻尼器之半主動控制” [14]、鍾立來、吳賴雲、賴勇安. “應用相位控制原理於調諧質塊阻尼器最佳化結構控制設計” [15]、鍾立來、吳賴雲、林美君. “結構具單一非線性調諧質塊阻尼器最佳化設計於將低風力反應之研究” [16]、Johnn E. A. Bertram、Andy Ruina. “Multiple Walking Speed-Frequency Relations are Predicted by Constrained Optimization. ” [17]、Ken Tsutsuguchi, Satoshi Shimada, Yasuhito Suenaga, Noboru Sonehara and Sakuichi Ohtsuka. “Human Walking Animation Based on Foot Reaction Force in the Three Dimensional Virtual World. ” [18]、Blanchard, J, Davies, B.L. & Smith, J.W.B. Design Criteria and Analysis for Dynamic Loading of Footbridges, Proceedings of a Symposium on Dynamic Behaviour of Bridges, Transport and Road Research Laboratory Supplementary Report 275, pp.90-100, 1997 [19]、Bachmann, H. and Ammann, W. “Vibrations in Structures Induced by Man and Machines. ”, IABSE Structural Engi- neering Document 3e, International Association for Bridge and Structural Engineering, Zu¨rich, 1987, Ch. 2 and Appendix A. [20]、M. Brand, B.Eng., Structural Engineer, Meinhardt (Australia), J.G.Sanjayan, B.Sc.Eng., PhD, MIEAust, Associate Professor, Civil Engineering, Monash University A. Sudbury, BA Cantab., PhD, Senior Lecturer, School of Mathematical Sciences,Monash University. ”Dynamic Response of Pedestrian Bridges for Random Crowd Loading. ” [21]、Michael Willford, Peter Younga , Caroline Fieldb. “Improved Methodologies for the Prediction of Footfall-Induced Vibration. ” [22]、Christoph Heinemeyer、Markus Feldmann. “European Design Guide for Footbridge Vibration.” [23]、Aikaterini Pachi、Tianjain Ji. “Frequency and Velocity of People Walking” [24]、J. Kala, V. Salajka and P. Hradil. “Footbridge Response on Single Pedestrian Induced Vibration Analysis” [25]、Stana Živanovic, Aleksandar Pavic and Paul Reynolds. “Vibration Serviceability of Footbridges Under Human Induced Excitation : A Literature Review. ” [26]、Fjalar Hauksson “Dynamic Behaviour of Footbridges Subjected to Pedestrian Induced Vibrations” [27]、The Sétra, realized within a Sétra/Afgc (French association of civil engineering) working group. “Footbridges Assessment of Vibrational Behaviour of Footbridges Under Pedestrian Loading” [28]、Design of Footbridges Background EN03 RFS-CT-2007-00033 [29]、Design of Footbridges Guideline EN03 RFS-CT-2007-00033 | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/53065 | - |
dc.description.abstract | 懸吊式調諧質量阻尼器(Tuned mass damper ,TMD)一般實務上,都視為小角度擺動、線性回復力,但實際上擺動角度太大,回復力進入非線性,TMD的頻率會下降,會影響其調諧減振的能力,本文第二章即推導單擺長TMD的非線性運動方程式,並運用狀態空間法,轉入離散時間的狀態差分方程式,以求解非線性單擺在每一個瞬間的歷時反應,探討其線性與非線性的回復力、頻率的相對誤差,並以線性與非線性的運動方程式計算結果,觀察進入非線性後,對外力敏感度和設計參數敏感度的影響。綜合分析的結果,TMD擺角過大,確實會令減振效果下降,但需要在非常強的外力激振下才會有如此劇烈的擺動,所以說在一般的工程案例下,將TMD視為線性作設計是合理的。
一般懸吊式TMD機構只有單一個擺長,所以進行最佳化設計時,僅以在外力激振下,結構反應較大的方向去進行最佳化設計,若結構雙向頻率差異較大,且受外力激振下,雙向的反應也相當時,單一擺長並不足以滿足要求,所以,本文中提出單一個TMD具雙擺長的機構,一個TMD就可以同時調諧到結構兩個方向的頻率。分析方法,從雙擺長TMD的運動曲面方程式建立開始,曲面梯度最陡的方向即為回復力的方向,回復力的大小便為曲面梯度的函數,也經由運動曲面,可推得裝設在TMD上的阻尼器兩端的相對速度,即可求得阻尼力,回復力與阻尼力均為非線性,再把此回復力與阻尼力投影到運動方程式建立的兩個水平方向上,就可以建立完整的雙擺長TMD運動方程式,也藉由狀態空間求解此運動方程式,模擬其動力反應。第四章的案例分析,是高樓加裝TMD的設計案例,因為結構頻率差異不太且反應全由單一方向主控,所以原案由單一擺長設計,完全能達到減振要求。本文主要為了彰顯雙擺長設計的優異性,所以會以人為的方式將結構變異,讓結構雙向在不同的頻率比下作設計,並調整風力,比較單擺長與雙擺長設計的差異,結果顯示,以雙擺長調諧確實有比較好的減振效果。 本文的最後一部分,第五章,會以人行橋人行載重引致的振動進行研究,是因為近來結構材質講求輕質材料,且人行橋講求美觀與新穎的設計風格,所以人行走所造成的振動問題也越來越重要。國內對人行橋的振動案例分析沒有一套較清楚完整的參考範本,所以本文參考國外相關研究與規範之人行載重的模擬、作用於橋上的群體載重的特性等,將整理出來的分析程序應用於一個實際案例,整理一套程序,以供相關設計參考。 | zh_TW |
dc.description.abstract | A simple pendulum consists of a mass which hangs from a string and fixes at a pivot point. By applying Newton's secont law, the equation of motion for the pendulum could be obtained. In this study, the nonlinear and linear equation of motion of a pendulum and pendulum-structure system subjected to external forces is derived. The time history analysis is simulated using state-space method. The amplitude of angular displacement is small so that the equation of motion could be reduced as a simple harmonic equation of motion. This assumption is confirmed by comparing the time history analysis, frequency sensitivity analysis, and design parameter sensitivity analysis results.
Passive tuned-mass dampers (TMDs) are a very efficient solution for the control of structural vibrations subjected to long-duration, narrowband excitations. In this study, a suspension typed tuned mass damper with double pendulum lengths is proposed. The pendular mass is suspensed by cables and linked with viscous dampers. The main advantage of the proposed double pendulum lengths TMD is that, it allows control of structural vibrations in both principal directions with different natural frequencies. Numerical results show that, under various wind force excitations, the level of response reduction achieved by the proposed double pendulum lengths TMD is much better than a single pendulum lengths TMD in both directions. Vibration behavior of the footbridge due to pedestrian loading has arised the attraction in these years. The cases of London Millennium bridge, Toda Park bridge in Japan, etc… show that the dynamic action of pedestrian loading should be taken into consideration in design procedures. According to those European footbridge design codes and some relative researches, the method of modeling pedestrian loadings acting on the footbridge is accomplished. Analysis and design procedures of a practical footbridge vibration reduction by TMD is performed in this study. These evaluation methods of footbridge vibration reduction are proposed for engineering applications. | en |
dc.description.provenance | Made available in DSpace on 2021-06-15T16:42:14Z (GMT). No. of bitstreams: 1 ntu-104-R02521234-1.pdf: 12278309 bytes, checksum: f29464591b359636548d5a44d79c9db8 (MD5) Previous issue date: 2015 | en |
dc.description.tableofcontents | 誌謝 I
摘要 II 英文摘要 IV 目錄 V 圖目錄 VII 表目錄 XIII 第一章、緒論 1 1.1研究動機及目的 1 1.2文獻回顧 2 1.3研究方法 4 第二章、單擺長TMD的動力行為 7 2.1單擺長TMD小角度擺幅假設之動力方程式 7 2.2單擺長TMD大角度擺幅之動力方程式 8 2.3單擺運動之自由振動分析(大擺幅與小擺幅之比較) 12 2.4 單自由度結構加裝單擺式TMD分析 14 2.4.1單自由度結構加裝單擺式TMD 15 2.4.2 敏感度分析 20 2.4.2-1 外力頻率敏感度分析 20 2.4.2-2 設計參數敏感度分析 21 第三章、雙擺長TMD之動力行為 37 3.1 雙擺長TMD運動之描述 37 3.1.1 雙擺長TMD於空間中的運動軌跡方程 37 3.1.2 雙擺長TMD於空間中擺動曲面之斜率 38 3.2雙擺長TMD曲面上回復力之方向與大小 39 3.3雙擺長TMD阻尼器提供之阻尼力計算 40 3.4雙擺長TMD之運動方程式 46 3.4.1 雙擺長TMD運動方程式與狀態方程式的建立與推導 46 3.4.2 雙擺長TMD線性週期與非線性週期之比較 48 3.5 算例分析TMD衝程、空間中位移路徑、回復力與阻尼力遲滯迴圈 49 第四章、結構加裝雙擺長TMD之動力行為 72 4.1雙向多自由度結構系統之動力行為與運動方程式之建立 72 4.2雙向多自由度結構系統加裝雙擺長TMD 74 4.2.1運動方程式之建立 74 4.2.2雙擺長TMD之設計程序 80 4.3雙向結構系統加裝TMD之案例分析 81 4.3.1高樓案例分析介紹 81 4.3.1-1主結構Stick model 81 4.3.1-2 TMD設計參數 84 4.3.2高樓案例加裝TMD之分析結果 89 4.4雙擺長與單擺長調諧質量阻尼器對結構雙向頻率不同時的減振效果比較 93 第五章、行人引致載重的模擬與人行橋案例分析 162 5.1人行橋行人引致載重的振動分析程序 162 5.1-1外力形式與等效單頻外力的模擬 162 5.1-2單一行人載重的模擬 167 5.1-3隨機外力載重的模擬 169 5.2人行橋案例分析 170 5.2-1橋粱結構基本型態與TMD配置圖介紹 171 5.2-2橋粱結構系統自由振動與白噪音外力強迫振動分析 175 5.2-3多行人垂直向荷載作用的模擬 176 5.2-3.1等效單頻外力加載 176 5.2-3.2隨機外力加載 178 第六章、結論與展望 194 6.1結論與結果討論 194 6.2未來展望 197 參考文獻 199 | |
dc.language.iso | zh-TW | |
dc.title | 雙擺長調諧質量阻尼器之減振效益與人行橋振動分析之研究 | zh_TW |
dc.title | Effect of Vibration Reduction of Suspension Typed Tuned Mass Damper with Double Pendulum Lengths and Analysis of Footbridges on Pedestrian Induced Vibration | en |
dc.type | Thesis | |
dc.date.schoolyear | 103-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 朱世禹,陳奕信,連冠華 | |
dc.subject.keyword | 雙擺長調諧質量阻尼器,非線性調諧質量阻尼器,人行橋,垂直向人行載重, | zh_TW |
dc.subject.keyword | tuned mass damper,bidirectional,nonlinear,Footbridges vibration, | en |
dc.relation.page | 201 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2015-08-11 | |
dc.contributor.author-college | 工學院 | zh_TW |
dc.contributor.author-dept | 土木工程學研究所 | zh_TW |
顯示於系所單位: | 土木工程學系 |
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