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研究生: 許祖銘
Hsu, Tzu-Ming
論文名稱: 液化後淺基礎變形模擬與預測
Prediction of Deformations in Shallow Foundations over Liquefied Soil Based on Numerical Simulations
指導教授: 張文忠
Chang, Wen-Jong
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: 2024
畢業學年度: 112
語文別: 中文
論文頁數: 164
中文關鍵詞: 土壤液化數值模擬液化後淺基礎變形多變數迴歸公式貫入沉陷淺基礎傾角
外文關鍵詞: numerical simulation, multiple regression, shallow foundation deformation after liquefaction, penetration settlement, shallow foundation inclination
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  • 本研究以數值模擬成果建立一套液化後淺基礎變形之評估流程,利用分析區域之現地資料,以數值方法模擬區域液化後淺基礎之變形行為,利用分析案例之淺基礎變形資料進行多變數迴歸,確立現地液化後淺基礎之評估變形流程。數值模擬考慮現地土層分布與建物調查資料簡化後建立數值模型,其中考量到建物結構細節收集不易,建物採用剛性較高之彈性系統進行假設,以設計地震反應譜相符之地表加速度歷時作為模型輸入運動,計算液化後淺基礎之貫入沉陷與差異沉陷引致之傾角,對淺基礎變形之各影響因子進行分析,分析結果顯示貫入沉陷會隨著建物接觸應力與液化層厚度增加而增加,而隨著地表非液化層、基礎寬度和相對密度增加而減少。研究結果顯示貫入沉陷與基礎特徵之關係緊密,不宜利用自由場沉陷之計算結果與貫入沉陷進行連結。所有分析案例之淺基礎變形結果建立一迴歸公式,其迴歸公式結果與模擬之變形結果高度相關,進一步利用此迴歸公式計算,結合傾角-貫入沉陷關係式可推估淺基礎之傾角,所建立流程可快速取得現地淺基礎液化後變形量。

    This study establishes an assessment procedure for the post-liquefaction deformation of shallow foundations, based on numerical simulation results. Using in-situ data from the study area, numerical methods are employed to simulate the deformation behavior of shallow foundations in the region after liquefaction. The deformation data from the analysis cases are then used to perform a multiple regression, thus establishing an assessment procedure for in-situ post-liquefaction shallow foundation deformation. The numerical simulations consider the simplified distribution of soil layers and building survey data to create numerical models. Given the difficulty in collecting detailed building structural information, buildings are assumed to be rigid elastic systems. The ground acceleration time histories corresponding to the design earthquake response spectrum are used as input motion for the model. The simulations calculate the penetration settlement and inclination by differential settlement of post-liquefaction shallow foundations. Various factors influencing shallow foundation deformation are analyzed. Results indicate that penetration settlement increases with building contact stress and liquefiable layer thickness but decreases with non-liquefiable surface layer thickness, foundation width, and relative density. The study shows a close relationship between penetration settlement and foundation characteristics, suggesting that it is inappropriate to link the calculation results of free-field settlement with penetration settlement. A regression formula is established based on the deformation results of all analyzed cases, and the results of this regression formula show a high correlation with the simulated deformation results. This regression formula, combined with the inclination-penetration settlement relationship, can be used to estimate the inclination of shallow foundations. The established procedure allows for a quick determination of post-liquefaction deformation of in-situ shallow foundations.

    摘要 I Extended Abstract II 誌謝 VII 目錄 VIII 表目錄 XI 圖目錄 XII 第一章 緒論 1 1.1 研究背景與動機 1 1.2 研究目的與方法 2 1.3 論文架構 3 第二章 文獻回顧 4 2.1 土壤液化及對淺基礎影響 4 2.1.1 土壤液化之定義與種類 4 2.1.2 液化土壤中淺基礎變形機制 6 2.2 土壤液化引致基礎沉陷之試驗與模擬 7 2.2.1 淺基礎離心機試驗 7 2.2.2 淺基礎數值模擬分析 11 2.3 淺基礎液化引致沉陷之變因 15 2.4 評估建物液化後變形之流程 19 2.5 自由場液化沉陷評估 25 第三章 研究方法 28 3.1 分析流程 28 3.2 數值模擬軟體-PLAXIS 30 3.2.1 PLAXIS簡介 30 3.2.2 PLAXIS基本操作 30 3.2.3 土壤模型參數 31 3.2.4 界面元素(Interface Element) 42 3.2.5 PLAXIS有限元素運算原理 44 3.2.6 動力邊界條件 49 第四章 淺基礎液化測試模型之建立流程與分析 52 4.1 模型尺寸與幾何考量 52 4.2 材料參數 55 4.3 動力邊界與材料阻尼 60 4.4 模擬流程 68 4.5 模擬結果 70 4.5.1 界面元素Rinter影響 70 4.5.2 相對密度影響 74 4.5.3 接觸應力影響 76 4.5.4 滲流係數影響 77 第五章 淺基礎數值分析與成果 80 5.1 液化後現地淺基礎變形之模擬 80 5.1.1 土層鑽孔資料 80 5.1.2 建物特徵 82 5.1.3 地震波資料 83 5.1.4 數值模型建立 85 5.2 結果分析 88 5.2.1 垂直應變 88 5.2.2 各地區動態後淺基礎變形 90 5.2.3 數值模型自由場沉陷 91 5.2.4 各地區液化後淺基礎變形 92 第六章 淺基礎變形資料分析與迴歸 96 6.1 地表非液化層(HC)影響 96 6.2 相對密度(Dr)影響 98 6.3 多層液化層分布影響 100 6.4 基礎特徵之影響 104 6.5 淺基礎變形迴歸 107 6.5.1 與Ishihara and Youshimine(1992)自由場沉陷連結 107 6.5.2 淺基礎變形迴歸公式 110 6.5.3 貫入沉陷與傾角關係 113 第七章 結論與建議 114 7.1 結論 114 7.2 建議 115 參考文獻 116 附錄 i 附錄 A 各地區鑽孔簡化後土層分布 i 附錄 B 各地區簡化後建物特徵 iv 附錄 C 材料參數 v 附錄 D 各案例動態結束後之淺基礎變形數據 ix 附錄 E 各案例液化後之淺基礎變形數據 xxii

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