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研究生: 董少凡
Tung, Shao-Fan
論文名稱: 時域中土壤結構互制問題之有限元素分析
Time-Domian Finite Element Analysis of Soil-Structure Interaction Problems
指導教授: 朱聖浩
Ju, Shen-Haw
學位類別: 碩士
Master
系所名稱: 工學院 - 土木工程學系
Department of Civil Engineering
論文出版年: 2008
畢業學年度: 96
語文別: 英文
論文頁數: 169
中文關鍵詞: SHAKE程式有限元素法土壤結構互制設計反應譜SIMQKE程式震波傳遞相位角影響危害度分析人工地震
外文關鍵詞: SIMQKE, SHAKE91, Finite element method, Design response spectrum, Wave propagation, Artificial motion, Phase angle effect, Soil-structure interaction, Seismic hazard analysis
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  • 本論文主要目的是發展三維有限元素網格來模擬土壤-結構互制的行為。且為了防止震波傳遞到邊界所產生的折射和散射,加入吸收邊界在土壤網格的周圍。利用SIMQKE程式,輸入目標反應譜並產生人工地震。本論文中,所輸入之目標反應譜為『耐震設計規範與解說』所提供之設計反應譜。由於經由設計反應譜所產生出來之人工地震歷時屬地表的振動歷時,所以必須使用SHAKE91程式來計算土壤網格底層之振動歷時,最後將計算出來之振動歷時輸入到土壤網格的底層做地震力分析。按照此流程,便可使用傳統有限元素法來做土壤-結構互制動力分析問題。

    This thesis developed a time-domain finite element method to perform the soil-structure interaction analysis. First a traditional finite mesh is generated with absorbing boundary conditions, and then the earthquake time-history accelerations or displacements are applied at the bottom of the soil mesh. The artificial motion is obtained from the well-developed program SIMQKE, which generates statistically independent artificial acceleration time histories and tries to match the target response spectrum. Therefore, the target response spectrum in this thesis is specified the design response spectrum mentioned in Taiwan, Earthquake Resistant Design Code and Illustration of Constructions. Since the artificial motion generated by the design response spectrum is on the ground surface, the motion in the desired depth at the mesh bottom should be estimated by the program SHAKE91, which is used to compute the linear response of the semi-infinite horizontally layered soil deposit overlying a uniform half-space subjected to vertically propagating shear wave. Using the suggested procedure, one can perform the soil-structure interaction analysis as simple as the traditional dynamic finite element analysis.

    Chapter 1 Introduction 1 1.1. Background and Propose 1 1.2. Developed of SSI Method 2 1.2. Developed of Foundation Independence 3 1.3. Developed of Effective Period and Damping 4 1.3. Brief Account of Research 6 Chapter 2 Theory Illustration 8 2.1. Introduction 8 2.1. Modeling Beam Elements 9 2.2. Solid and Shell Elements 11 2.3. Concept of Modal Analysis 13 2.4. Theories of Wave Propagation 15 2.4.1. Propagation of Harmonic Shear Wave in 1-D System 15 2.4.2. Transient Motions 20 2.5. Theories of Earthquake Generation 21 2.5.1. Artificial Motion Generation 21 2.5.2. Generation of Power Spectral Density Function 23 2.5.3. Improving Response Spectral Matches 23 2.6. Seismic Hazard Analysis 24 2.7. Rayleigh Damping 26 2.8. Absorbing Boundary 27 2.9. Newmark's Method 28 2.9.1. Basic Procedure 28 2.9.2. Newmark's Method for Linear System 29 2.10. Fast Fourier Transform (F.F.T.) 31 Chapter 3 The Effective Period and Damping 42 3.1. Introduction 42 3.2. Theoretical Background of NEHRP Code 42 3.2.1. Springs and Dashpots in the Equivalent System 42 3.2.2. Solution of the Motion in Laplace Domain 45 3.2.3. Effective Period and Damping of the Flexible-base 47 3.3. Programs for Finite Element Analysis 50 3.3.1. The Program, AD 50 3.3.2. The Program, AB 50 3.3.3. The Program, AN 51 3.3.4. The Program, AE 51 3.3.5. The Program, VASJAPAN 51 3.4. Illustration of Mesh for Modal Analysis 52 3.4.1. Illustration of Building Mesh 52 3.4.2. Illustration of Soil Mesh 53 3.4.3. Determination of the Fixed-Base Period 53 3.4.4. Determination of the Flexible-Base Period 54 3.5. Additional Effects of Soil-Structural Interaction 54 3.5.1. The Size Effect on the X-Y Plane 55 3.5.2. The Size Effect in the Z Direction 55 3.5.3. The Effect of the Structural Basements 56 3.6. Comparison Numerical Results with NEHRP Code 57 3.7. Conclusions 58 Chapter 4 Seismic Responses Analysis 72 4.1. Introduction 72 4.2. Seismic Analytic Programs 72 4.3. Finite Element Model 73 4.4. Seismic Analysis Procedures 74 4.4.1. Generation of the Ground Motion 75 4.4.2. Magnitude of Artificial Motion 76 4.4.3. Motion in Desired Depth 77 4.4.4. Estimating Damping 79 4.4.5. Phase Angle Variation 80 4.4.6. Seismic Analysis 81 4.5. Seismic Analytic Results 81 4.5.1. Mode Analysis Results 81 4.5.2. Phase Angle Effect 82 4.5.3. Comparison of Time History Results 83 4.6. Conclusions 86 Chapter 5 Conclusions and Future Works 112 5.1. Conclusions 112 5.2. Future Works 113 Reference 115 Appendix A Finite Element Analytic Programs 118 Appendix B Seismic Analytic Programs 142

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