平面梁元素非線性分析與橋梁樁基礎範例研究

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姓名

蘇宇(Yu Su) 查詢紙本館藏

畢業系所

土木工程學系

論文名稱

平面梁元素非線性分析與橋梁樁基礎範例研究

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摘要(中)

本研究採用新近發展之隱式Newmark-β結構動力分析方法，適用於處理大變形、大變位、材料非線性與剛體運動等問題，內容分為兩部分。第一部分配合載重控制與位移控制驗證平面梁元素於高度幾何非線性下分析之能力。
第二部分為橋梁樁基礎之設計法與範例研究目前國內對於樁基礎之設計方法雖已考慮新版設計地震力，但仍採用早期樁基礎之分析設計方法，無法反應整體基礎的邊界條件與互制行為。因此，本研究以國內實際橋梁設計案例，參考日本道路橋示方書有關樁基礎設計規定，使用平面梁元素建立含樁基礎橋墩之分析模型，進行非線性靜力分析。軟弱地盤於地震下土壤易進入塑性，以其分析結果進行檢核設計，經比較，目前國內樁基礎之分析設計法有低估之情形。希冀本研究成果可提供國內橋梁工程師另一可遵循之設計方法。

摘要(英)

This study is divided into two parts. In the first part, The Implicit time integration method(Newmark-β), a new computational method is adopted in this study because the The Implicit time integration method(Newmark-β) has the superior in managing the engineering problems with material nonlinearity, discontinuity, large deformation and arbitrary rigid body motions of deformable bodies. With Newton-Raphson method and displacement-controlled method, we are able to test ability of planar beam elements at highly geometrically nonlinear analysis.
The second part is about pile foundations. Although the seismic design forces of pile foundations have updated based on the current seismic design codes, the analysis method of pile foundations has not yet modified. The current analysis method cannot consider the real boundary conditions and soil-structure interaction. Therefore, in this project the static nonlinear analysis method proposed in the Japan Highway Bridge Design Code is adopted by establishing an analytical model consisting of footing and piles. Through analysis and design by using this model, it is found that if the soil condition is classified soft, the required reinforcement of the piles by current analysis method is underestimated as compared to that by the analytical model. The analysis method in Japan may be considered an alternative method for the pile design.

關鍵字(中)

★ Newmark-β直接積分法
★ 幾何非線性
★ 橋梁樁基礎
★ 土壤結構互制
★ 非線性靜力分析
★ 樁基礎檢核與設計

關鍵字(英)

★ implicit Newmark-β method
★ geometric nonlinearity
★ bridge pile foundation
★ soil-structure interaction
★ nonlinear static analysis

論文目次

目錄
摘要....................................................I
Abstract.................................................II
誌謝....................................................III
目錄....................................................IV
表目錄.................................................VII
圖目錄.................................................IX
第一章緒論.............................................1
1.1 研究動機與目的.......................................1
1.2 文獻回顧.............................................2
1.2.1 向量式有限元素法..................................2
1.2.2 幾何非線性分析....................................4
1.2.3 橋梁與樁基礎......................................4
1.3 論文架構.............................................5
第二章採用隱式直接積分法之有限元素.....................7
2.1 隱式 Newmark-直接積分計算程序.....................8
2.2 平面梁元素之內力計算.................................17
2.3 勁度比例阻尼力計算...................................26
2.4 地表位移輸入法.......................................29
第三章平面梁元素幾何非線性.............................38
3.1 現有幾何非線性增量與迭代方法.........................38
3.2 平面梁元素非線性算例.................................42
第四章非線性土壤彈簧...................................63
4.1 非線性土壤彈簧參數...................................63
4.1.1 等值土壤彈簧......................................63
4.1.2 極限載重容量......................................69
4.1.3 單樁軸向承載力....................................73
4.2 非線性土壤彈簧分析模型...............................74
4.2.1 雙線性彈簧元素....................................74
4.2.2 可壓縮開孔彈塑性彈簧元素..........................75
第五章鋼筋混凝土配筋設計...............................65
5.1 鋼筋混凝土相關規範...................................82
5.1.1 混凝土規定抗壓強度................................82
5.1.2 鋼筋強度限制......................................82
5.1.3 彈性模數..........................................82
5.1.4 強度設計法........................................83
5.2 配筋範例.............................................88
5.2.1 基樁主筋流程......................................88
5.2.2 基樁剪力筋........................................89
5.2.3 基礎板主筋........................................92
5.2.4 基礎板剪力筋......................................94
第六章橋梁樁基礎研究案例...............................95
6.1 樁基礎橋墩數值分析模型...............................95
6.2 單樁數值分析模型與Chang公式之比較....................98
6.3 數值分析模型之參數設定探討...........................99
6.3.1 非線性土壤彈簧....................................104
6.3.2 基礎板水平抵抗力..................................106
6.3.3 大地震時水平被動土壓上限值放大係數................107
6.4 案例分析結果及配筋...................................107
6.5 耐震性能探討.........................................111
第七章結論與未來展望...................................165
7.1結論..................................................165
7.2未來展望..............................................169
參考文獻.................................................171
附圖.....................................................178

參考文獻

參考文獻

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指導教授

李姿瑩(Tzu-Ying Lee)

審核日期

2017-1-24

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