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研究生: 陳懷宇
Huai-yu Chen
論文名稱: 高樓結構垂直撞擊破壞之研究
A Study on the Vertical Impact Collapsing of High-rise Buildings
指導教授: 鄭蘩
Van Jeng
口試委員: 黃慶東
none
陳瑞華
none
學位類別: 碩士
Master
系所名稱: 工程學院 - 營建工程系
Department of Civil and Construction Engineering
論文出版年: 2005
畢業學年度: 93
語文別: 中文
論文頁數: 129
中文關鍵詞: 碰撞有限元素法
外文關鍵詞: Progressive collapse.
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本研究之主要目的為探討大樓內部垂直撞擊的反應行為。垂直撞擊破壞屬於短歷時,高負載的破壞行為,大樓從受衝擊到發生完全破壞的時間相當短,使得逃生救災的反應時間減少,造成了人命和財務的損失。九一一雙子星大樓之倒塌及墨西哥大地震許多建物之崩塌皆為例證,此種破壞與一般大樓地震下韌性破壞不同。
本研究以理論打樁公式搭配有限元素碰撞分析,來了解大樓受衝擊後的受力行為。研究中將大樓簡化分為:理論打樁模型,均勻連續模型,均勻離散模型。在理論模型分析中,建立碰撞參數與反應值的關係,接著在均勻連續模型分析中,將大樓的材料性質分為彈性與塑性,於彈性模型下改變探討參數之影響,並與理論模型結果作比較。塑性模型下,探討降服應力與上部樓層數之影響,並與彈性模型結果作比較,以建立撞擊發生時,各參數與結構受力運動情況的關係。最後在均勻連續模型與均勻離散模型中,探討破壞現象並模擬整棟大樓發生連鎖崩塌之行為。
本研究主要發現如下:
(1) 大樓上部結構樓層增加,會造成撞擊壓力波峰增加,但有一最大極限值。
(2) 於非線性情況下,大樓撞擊後壓力波峰值會被限制於降服應力以內。
(3) 大樓發生破壞的主要模式為壓力波於結構底層的疊加所造成之底層破壞所引發。


The purpose of this research is to investigate the vertical impact collapsing inside the buildings. Vertical Impact collapse was a instant and high loading behavior,. The duration from impacting to total collapsing is very short, and people only have little time to escape. This kind of collapsing will make huge cost on human life and property. This kind of failure is different from the structural failure expected for seismic designed building. The overall collapse of the twin towers of World Trade Center and buildings collapse of high rise buildings in MEXICO EARTHQUAKE are good examples.
 The analysis combine simplified theoretical impact analysis with finite element method impact simulation to explore the reaction of the building under impact. The Building was simulated by three physical models: theoretical pile driving model, uniform continuous model, uniform discrete model. In theoretical model analysis, the basic relation between variables and the reacting result were established. In uniform continue model analysis, two different materials: elastic and plastic, were used. For elastic model, parameters were studied and compared to the results of theoretical model. For plastic model, different yielding level and upper building stories are investigated to establish the relations of these parameters to the reactions. Finally , the failure in uniform continue model and uniform discrete model are used to investigate the progressive collapse behavior of the building.
 The major results of this study are:
1. The peak of impact pressure wave will increase when the stories of the upper structure increase, but it has a ultimate value.
2. In plastic model, the peak value of pressure wave will be limited by the yield stress after impact.
3. The most likely mechanism of the progressive collapse is triggered by the collapse at the bottom of building caused by the superpose of compressing wave.

第一章 緒論 1 1.1 前言 1 1.2研究動機 1 1.3研究方法 2 1.4文獻回顧 3 1.5內容架構 4 第二章 理論基礎 6 2.1前言 6 2.2有限元素矩陣建立 6 2.3中心差分法(Central Difference Method) 7 2.4接觸搜尋與計算 10 2.4.1主(master)從(slave)關係 10 2.4.2 連續網格搜尋法 10 2.4.3 Bucket分類搜尋法(Bucket Sorting Method) 11 2.4.4 接觸力計算 11 2.5理論打樁公式 13 2.6 理論公式參數探論 15 2.6.1樁錘重W 15 2.6.2彈簧勁度k 16 2.6.3小結 17 第三章 均勻連續模型撞擊分析 19 3.1 前言 19 3.2 均勻連續模型建立 19 3.3 線性分析下各參數研究 21 3.3.1彈性模數E值 21 3.3.2不同重量下落 23 3.3.3撞擊速度 26 3.3.4上層結構彈性模數 27 3.3.5小結 29 3.4非線性樁之能量消耗 30 3.4.1上部結構單層 30 3.4.2上部結構四層 33 3.4.3小結 36 第四章 撞擊破壞分析 38 4.1前言 38 4.2均勻連續模型以集中質量建立 38 4.2.1破壞情形 39 4.3均勻離散模型建立 43 4.3.1破壞情形 44 4.4小結 49 第五章 結論與建議 50 5.1線性撞擊 50 5.2非線性撞擊 51 5.3撞擊破壞分析 51 5.4建議 52 參考文獻 54

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