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研究生: 楊智皓
JHIH-HAO YOUNG
論文名稱: 加勁擋土結構物內部穩定之模式不確定性分析與可靠度設計
Reliability-Based Analysis for Internal Stabilities of Geosynthetic-Reinforced Soil Structures Incorporating Model Uncertainties
指導教授: 楊國鑫
Kuo-Hsin Yang
口試委員: 楊亦東
I-Tung Yang
蔡幸致
Hsing-Chih Tsai
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: 2013
畢業學年度: 101
語文別: 中文
論文頁數: 251
中文關鍵詞: 加勁擋土結構物模式不確定性破壞機率可靠度設計
外文關鍵詞: Geosynthetic-reinforced soil (GRS) structures, model uncertainty, failure probability, reliability-based design (RBD)
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加勁擋土牆(Geosynthetic-Reinforced Soil structures)近三十年來在土木工程界發展迅速。現今加勁擋土結構物之設計主要以定量分析(deterministic approach)的方式評估結構物內外部穩定性之安全係數。然而,以安全係數為主的設計方式並未能通盤考慮到設計參數的變異性以及加勁材張力預測公式的模式不確定性。有鑑於此,本文希望能藉由機率方式(probabilistic approach)進行加勁擋土牆內部穩定之可靠度設計,並分別使用三種加勁材張力預測公式(Rankine與Coulomb側向土壓法與K-stiffness法)進行模式不確定性之探討。預期不同預測方法間得到之張力發展值,在考慮模式因子影響後能更加接近實測結果。本研究首先蒐集加勁擋土牆參數與加勁材張力發展的實測資料,根據實測值與預測結果量化模式不確定性。之後,以參數靈敏度分析結果,找出影響加勁擋土牆內部穩定性較大(如破壞機率變化較大)的參數為可靠度分析時需考慮的變數,並進一步進行可靠度分析,發展出一系列可靠度設計圖。最後,本論文舉一案例說明可靠度設計圖考慮模式因子影響之設計變化。本研究發現在未考慮模式不確定性之情況下,加勁材斷裂模式中,相同破壞機率下的側向土壓法計算之張力發展值遠大於使用K-stiffness法所計算之結果。而在考慮模式不確定後,相同破壞機率下的側向土壓法所計算之張力發展值與K-stiffness法計算結果變得接近。


Over the past three decades, Geosynthetic-Reinforced Soil (GRS) structures have been developed rapidly in civil engineering related construction. Nowadays, GRS structures are conventionally designed using the deterministic approach to calculate the factors of safety against internal and external stabilities of GRS structures. However, the deterministic approach is not able to consider variability and uncertainty from design variables and prediction models. In contrast with the deterministic approach, the reliability approach considering the possible variations in the design parameters and the model uncertainty of design methods for predicting reinforcement loads (i.e, earth pressure methods using Rankine’s and Coulomb’s Ka and K-stiffness method) can estimate the safety of the structure and the possible risk of failure more realistically. In this study, the model uncertainty is statistically quantified using a model factor, defined as the measured reinforcement load divided by the predicted reinforcement load. The model factor is simulated using two approaches: generalized model factor and correlation model factor. A series of RBD design charts with and without incorporating model uncertainty is developed. The RBD results are compared and the impact of model factor on the prediction of reinforcement tensile loads is investigated. It is expected the RBD results using three prediction methods become more consistent when the model uncertainty is considered. The results obtained from this study provide insightful information of RBD for internal stability of GRS structures.

摘 要 I ABSTRACT II 誌 謝 III 圖目錄 IX 表目錄 XXI 第一章 緒論 1 1.1研究動機及目的 1 1.2研究方法 5 1.3論文架構 6 第二章 文獻回顧 8 2.1加勁擋土牆發展 8 2.2 加勁擋土結構 9 2.2.1 地工合成材料類型 10 2.2.2 牆面版類型 11 2.3加勁材張力預測方法 13 2.3.1側向土壓力理論 14 2.3.2 K-stiffness理論 21 2.4加勁擋土牆之可靠度分析 28 2.5模式不確定性 32 第三章 加勁擋土牆資料描述 33 3.1介紹 33 3.2加勁擋土牆相關研究 34 3.2.1 混凝土面板HDPE加勁格網牆, 1984 (Case GW5) 34 3.2.2 挪威奧斯陸之加勁格網牆, 1987 (Case GW7) 37 3.2.3 阿岡昆之混凝土面HDPE加勁格網板牆, 1988 (Case GW8) 40 3.2.4 阿岡昆之疊塊式PET加勁格網擋土牆, 1988 (Case GW9) 42 3.2.5 阿岡昆之不織布回包牆, 1988 (Case GW10) 45 3.2.6 RMCC之PP加勁格網回包牆, 1986 (Case GW11) 47 3.2.7 RMCC之外部支撐木質面板加勁格網牆 (Case GW12)和節塊面板加勁格網牆 (Case GW13), 1987 50 3.2.8 RMCC之足高鋁合金板加勁格網牆,1989 (Case GW14) 54 3.2.9 RMCC之節塊式鋁合金板加勁格網牆, 1989 (Case GW15) 57 3.2.10 WSDOT之不織布回包牆, 1989 (Case GW16) 59 3.2.11 加拿大之混凝土面板加勁格網牆, 1990 (Case GW18) 62 3.2.12 聖雷米之混凝土面板聚酯繩牆, 1993 (Case GW19) 64 3.2.13 義大利之加勁格網回包牆, 1998 (Case GW20) 66 3.3加勁材張力預測結果討論 69 第四章 模式不確定性 81 4.1實測值與預測值偏差 81 4.2加勁牆參數對模式不確定性影響分析 84 4.3模式因子機率分佈 92 4.3.1極端數據分析 92 4.3.2 模式因子分佈頻率 94 4.3.3 機率分佈函數之QQ繪圖 100 4.3.4 A-D檢定機率函數 103 4.3.5 機率分佈檢定結果討論 108 4.4常數模式因子 109 4.5廣義模式因子 113 4.6 Tmax相關係數之模式因子 116 4.7小結 122 第五章 可靠度分析與設計 123 5.1可靠度分析方法介紹 123 5.2基本參數與隨機變數介紹 126 5.3破壞模式 130 5.3.1斷裂破壞 130 5.3.2拉出破壞 131 5.4可靠度設計圖 133 5.4.1參數靈敏度分析 133 5.4.2可靠度設計圖說明 135 5.4.3不同破壞模式之相互關性 138 5.4.4可靠度設計圖範例 141 5.5考慮模式因子之可靠度設計圖 153 5.5.1廣義模式因子 153 5.5.1相關係數模式因子 164 5.4討論與比較 176 第六章 比較與討論 178 6.1斷裂破壞比較 178 6.1.1斷裂破壞機率(Pf)為10-2 180 6.1.2斷裂破壞機率(Pf)為10-3 184 6.1.3斷裂破壞機率(Pf)為10-4 188 6.1.4可靠度分析與傳統安全係數比較 192 6.2拉出破壞比較 194 6.2.1拉出破壞機率(Pf)為10-2 196 6.2.2拉出破壞機率(Pf)為10-3 200 6.2.3拉出破壞機率(Pf)為10-4 204 6.1.4可靠度分析與傳統安全係數比較 208 6.3討論與比較 210 第七章 結論與建議 215 7.1結論 215 7.2建議 218 文獻回顧 219

文獻回顧

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