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研究生:陳鈞彥
研究生(外文):Chun-Yen Chen
論文名稱:考慮動態載重下多孔性土壤之有限元素法動態分析
論文名稱(外文):Dynamic Analysis of Poroelastic Soil Medium Under Moving Loads by Finite Element Method
指導教授:林義雄林義雄引用關係
學位類別:碩士
校院名稱:國立中興大學
系所名稱:土木工程學系所
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:2008
畢業學年度:96
語文別:中文
論文頁數:88
中文關鍵詞:動態載重多孔性土壤有限元素法
外文關鍵詞:DynamicPoroelastic SoilFinite Element Method
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本論文主要的目的在建立移動式載重作用下,土壤內孔隙水壓之二維有限元素分析模式。此模式主要利用 Biot的動態壓密理論及彈性力學之力平衡方程式來控制,並考慮土壤之遲滯阻尼效應;再利用 Galerkin 法建立有限元素分析模式,以分析受移動載重作用後土壤之位移、應力及孔隙水壓力。

本文中將先討論土壤內有無考慮孔隙水壓作用,為定點衝擊式載重與移動式載重作用下,造成土壤間各種不同的應力和位移分佈之差異性。文中針對不同的土壤參數,包括:剪力模數(G值)、阻尼比(δ值)、滲流係數(K值),在土壤之間孔隙水壓力、應力和位移分佈所造成之變化。經由本文中所建立之模式及分析結果,希望可供工程界在進行設計時做為參考。
This study aims to build the two-dimensional finite element model for pore water pressure under the moving loads. The formulation is controlled by Biot consolidation theory, Elasticity Mechanics of equilibrium equations, and elastic stress and strain linear relation; while the finite element model is established through the method of Galerkin, which analyzes the stress variations of the poroelastic solid. The solid is considered to be poroelastic in this paper.


The variations of soil stresses and the differentiations of the displacement will be first discussed. Whether the solid has pore water pressure or not, and whether the loads are moved will cause the diversities. The different the soil parameters, including shear modulus (G), damping ratio (δ), and seepage coefficient (K), makes the different degrees of variations soil stress and the displacement. This phenomenon will further covered in the study with the loading effect. Through the results of building and analyzing the model in this thesis, we hope it would offer the reference for engineering field when designing.
摘要.......................................................I
英文摘要..................................................II
目錄.....................................................III
圖目錄....................................................VI

第一章 前言.............................................1
1-1 研究背景.........................................1
1-2 文獻回顧.........................................2
1-3 研究目的及方法...................................4

第二章 有限元素分析模式建立.............................6
2-1 分析區域及假設條件...............................6
2-2 控制方程式.......................................7
2-3 邊界狀況........................................10
2-4 有限元素分析模式建立............................11
2-5 Newmark法展開.................................. 14
2-6 計算過程概述....................................18

第三章 數值分析結果....................................19
3-1 實例分析介紹....................................19
3-1-2 衝擊式動態載重...................................22
3-1-3 移動式動態載重...................................24
3-1-4 不同動態載重型態的比較...........................25
3-2 不同土壤剪力模數的影響...........................38
3-2-1 衝擊式動態載重...................................38
3-2-2 移動式動態載重..................................39
3-3 土壤遲滯的影響..................................48
3-3-1 衝擊式動態載重..................................48
3-3-2 移動式動態載重..................................49
3-4 土壤滲透係數的影響..............................59
3-4-1 衝擊式動態載重.................................. 59
3-4-2 移動式動態載重.................................. 60
3-5 載重速度的影響.................................. 73
第四章 結論........................................... 79
參考文獻 ...................................... 80

圖目錄

圖3-1-1 分析尺寸示意圖.............................. 20
圖3-1-2 載重在中點施加(x=160m)時,與時間示意圖.......20
圖3-1-3 土壤網格切割及載重施加示意圖................ 21
圖3-1-4 作用力點位置示意圖.......................... 26
圖3-1-5 土壤有無考慮孔隙水,在中點垂直方向位移圖.... 26
圖3-1-6 作用力分析區域剖面示意圖.................... 27
圖3-1-7 土壤有無考慮孔隙水,在中間剖面最大位移變化圖.27
圖3-1-8 衝擊式載重下,有無考慮孔隙水剪應力變化圖.....28
圖3-1-9 為圖3-1-8中間局部放大圖......................28
圖3-1-10 衝擊式載重下,有無考慮孔隙水位移變化圖.......29
圖3-1-11 為圖3-1-10的局部放大圖...................... 29
圖3-1-12 土壤有考慮孔隙水,在中間剖面下最大應力變化圖.30
圖3-1-13 土壤不考慮孔隙水,在中間剖面下最大應力變化圖.30
圖3-1-14 土壤有無考慮孔隙水,在中央剖面下 變化圖.....31
圖3-1-15 土壤有無考慮孔隙水,在中央剖面下 變化圖..... 31
圖3-1-16 衝擊式載重下土壤有無考慮孔隙水, 應力變化..32
圖3-1-17 土壤有無考慮孔隙水,在中點垂直方向位移圖.... 32
圖3-1-18 土壤有無考慮孔隙水,在中間剖面最大位移變化圖.33
圖3-1-19 移動式載重下,有無考慮孔隙水位移變化圖.......33
圖3-1-20 圖3-1-19的局部放大圖.........................34
圖3-1-21 移動式載重下,有無考慮孔隙水剪應力變化圖.... 34
圖3-1-22 圖3-1-21的局部放大圖.........................35
圖3-1-23 土壤有考慮孔隙水,在中間剖面下最大應力變化圖.35
圖3-1-24 土壤不考慮孔隙水,在中間剖面下最大應力變化圖.36
圖3-1-25 土壤有無考慮孔隙水,在中間剖面 變化圖.......36
圖3-1-26 土壤有無考慮孔隙水,在中間剖面 變化圖.......37
圖3-1-27 土壤有無考慮孔隙水,在中間剖面 變化圖.......37
圖3-2-1 衝擊式載重下,土壤在中點垂直方向位移圖.......40
圖3-2-2 衝擊式載重下,在中間剖面最大位移變化圖.......40
圖3-2-3 衝擊式載重下,在中間剖面孔隙水壓力變化圖.....41
圖3-2-4 衝擊式載重下,在中間剖面 變化圖.............41
圖3-2-5 衝擊式載重下,在中間剖面 變化圖.............42
圖3-2-6 衝擊式載重下,在中間剖面 應力變化圖.........42
圖3-2-7 衝擊式載重下,在中間剖面X方向滲流水壓變化圖..43
圖3-2-8 衝擊式載重下,在中間剖面Y方向滲流水壓變化圖..43
圖3-2-9 移動式載重下,土壤在中點垂直方向位移圖.......44
圖3-2-10 移動式載重下,在中間剖面最大位移變化圖.......44
圖3-2-11 移動式載重下,在中間剖面孔隙水壓力變化圖.....45
圖3-2-12 移動式載重下,在中間剖面 變化圖.............45
圖3-2-13 移動式載重下,在中間剖面 應力變化圖.........46
圖3-2-14 移動式載重下,在中間剖面 應力變化圖.........46
圖3-2-15 移動式載重下,在中間剖面X方向滲流水壓變化圖...47
圖3-2-16 移動式載重下,在中間剖面Y方向滲流水壓變化圖. 47
圖3-3-1 衝擊式載重下,土壤在中點垂直方向位移圖.......50
圖3-3-2 衝擊式載重下,在中間剖面最大位移變化圖.......50
圖3-3-3 衝擊式載重施加時,垂直位移變化圖.............51
圖3-3-4 為圖3-3-3的局部放大圖........................51
圖3-3-5 衝擊式載重下,在中間剖面孔隙水壓變化圖.......52
圖3-3-6 衝擊式載重下,在中間剖面 變化圖.............52
圖3-3-7 衝擊式載重下,在中間剖面 變化圖.............53
圖3-3-8 衝擊式載重下,在中間剖面 變化圖.............53
圖3-3-9 衝擊式載重下,在中間剖面X方向滲流水壓變化圖..54
圖3-3-10 衝擊式載重下,在中間剖面Y方向滲流水壓變化圖..54
圖3-3-11 移動式載重下,土壤在中點垂直方向位移圖.......55
圖3-3-12 移動式載重下,在中間剖面最大位移變化圖.......55
圖3-3-13 移動式載重下,在中間剖面孔隙水壓變化圖.......56
圖3-3-14 移動式載重下,在中間剖面 變化圖.............56
圖3-3-15 移動式載重下,在中間剖面 變化圖.............57
圖3-3-16 移動式載重下,在中間剖面 變化圖............57
圖3-3-17 移動式載重下,在中間剖面X方向滲流水壓變化圖..58
圖3-3-18 移動式載重下,在中間剖面Y方向滲流水壓變化圖..58
圖3-4-1 衝擊式載重下,土壤在中點垂直方向位移圖.......61
圖3-4-2 衝擊式載重下,在中間剖面最大位移變化圖.......61
圖3-4-3 衝擊式載重下,垂直位移變化圖................ 62
圖3-4-4 圖3-4-3局部放大圖............................62
圖3-4-5 衝擊式載重下 ,Y方向滲流線圖.........63
圖3-4-6 衝擊式載重下 ,Y方向滲流線圖.........63
圖3-4-7 衝擊式載重下,在中間剖面孔隙水壓變化圖.......64
圖3-4-8 衝擊式載重下,在中間剖面 變化圖.............64
圖3-4-9 衝擊式載重下,在中間剖面 變化圖.............65
圖3-4-10 衝擊式載重下,在中間剖面 變化圖.............65
圖3-4-11 衝擊式載重下,在中間剖面X方向滲流水壓變化圖..66
圖3-4-12 衝擊式載重下,在中間剖面Y方向滲流水壓變化圖..66
圖3-4-13 移動式載重下,土壤在中點垂直方向位移圖.......67
圖3-4-14 移動式載重下,在中間剖面最大位移變化圖.......67
圖3-4-15 移動式載重下, 方向位移變化圖................68
圖3-4-16 圖3-4-14放大圖...............................68
圖3-4-17 移動式載重下 ,Y方向滲流線圖.........69
圖3-4-18 移動式載重下 ,Y方向滲流線圖.........69
圖3-4-19 移動式載重下,在中間剖面孔隙水壓變化圖.......70
圖3-4-20 移動式載重下,在中間剖面 變化圖.............70
圖3-4-21 移動式載重下,在中間剖面 變化圖.............71
圖3-4-22 移動式載重下,在中間剖面 變化圖.............71
圖3-4-23 移動式載重下,在中間剖面X方向滲流水壓變化圖..72
圖3-4-24 移動式載重下,在中間剖面Y方向滲流水壓變化圖..72
圖3-5-1 移動式載重下,土壤在中點垂直方向位移圖.......74
圖3-5-2 移動式載重下,在中間剖面最大位移變化圖.......74
圖3-5-3 移動式載重下,垂直方向位移變化圖.............75
圖3-5-4 移動式載重下,在中間剖面孔隙水壓變化圖.......75
圖3-5-5 移動式載重下,在中間剖面 應力變化圖.........76
圖3-5-6 移動式載重下,在中間剖面 應力變化圖.........76
圖3-5-7 移動式載重下,在中間剖面 應力變化圖.........77
圖3-5-8 移動式載重下,在中間剖面X方向滲流水壓變化圖..77
圖3-5-9 移動式載重下,在中間剖面Y方向滲流水壓變化圖..78
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