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DC 欄位 | 值 | 語言 |
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dc.contributor.advisor | 卿建業 | |
dc.contributor.author | Xuan-Wen Tong | en |
dc.contributor.author | 童瑄文 | zh_TW |
dc.date.accessioned | 2021-05-14T17:42:48Z | - |
dc.date.available | 2015-08-16 | |
dc.date.available | 2021-05-14T17:42:48Z | - |
dc.date.copyright | 2015-08-16 | |
dc.date.issued | 2015 | |
dc.date.submitted | 2015-08-14 | |
dc.identifier.citation | G.E.P Box and G. Jenkins. Time series analysis: Forecasting and control. Holden Day, 1970.
Phoon, K. K. (1995). Reliability-based design of foundations for transmission linestructures, Ph.D. Dissertation, Cornell University, Ithaca, NY. Ahmed, A. and Soubra, A.-H. (2012). Probabilistic analysis of strip footings resting on a spatially random soil using subset simulation approach. Georisk, 6(3), 188-201. Ahmed, A. and Soubra, A.-H. (2014). Probabilistic analysis at the serviceability limit state of two neighboring strip footings resting on a spatially random soil. Structural Safety, 49, 2-9. Al-Bittar, T. and Soubra, A.-H. (2014). Probabilistic analysis of strip footings resting on spatially varying soils and subjected to vertical or inclined loads. ASCE Journal of Geotechnical and Geoenvironmental Engineering, 140(4), 04013043. Ching, J., Hu, Y.G., Yang, Z.Y., Shiao, J.Q., Chen, J.C., and Li, Y.S. (2011). Reliability-based design for allowable bearing capacity of footings on rock masses by considering angle of distortion. International Journal of Rock Mechanics and Mining Sciences, 48, 728-740. Ching, J. and Phoon, K.K. (2013a). Mobilized shear strength of spatially variable soils under simple stress states. Structural Safety, 41, 20-28. Ching, J. and Phoon, K.K. (2013b). Probability distribution for mobilized shear strengths of spatially variable soils under uniform stress states, Georisk, 7(3), 209-224. Ching, J., Phoon, K.K., and Kao, P.H. (2014). Mean and variance of the mobilized shear strengths for spatially variable soils under uniform stress states. ASCE Journal of Engineering Mechanics, 140(3), 487-501. Fenton, G.A. and Griffiths, D.V. (2002). Probabilistic foundation settlement on spatially random soil. ASCE Journal of Geotechnical and Geoenvironmental Engineering, 128(5), 381-390. Fenton, G.A. and Griffiths, D.V. (2005). Three-dimensional probabilistic foundation settlement. ASCE Journal of Geotechnical and Geoenvironmental Engineering, 131(2), 232-239. Griffiths, D.V. and Fenton, G.A. (2009). Probabilistic settlement analysis by stochastic and random finite-element methods. ASCE Journal of Geotechnical and Geoenvironmental Engineering, 135(11), 1629-1637. Griffiths, D.V., Paiboon, J., Huang, J., and Fenton, G.A. (2012). Homogenization of geomaterials containing voids by random fields and finite elements. International Journal of Solids and Structures, 49, 2006-2014. Houy, L., Breysse, D., and Denis, A. (2005). Influence of soil heterogeneity on load redistribution and settlement of a hyperstatic three-support frame. Geotechnique, 55(2), 163-170. Jha, S.K. and Ching, J. (2013). Simulating spatial averages of stationary random field using Fourier series method. ASCE Journal of Engineering Mechanics, 139(5), 594-605. Jimenez, R. and Sitar, N. (2009). The importance of distribution types on finite element analyses of foundation settlement. Computers and Geotechnics, 36, 474-483. Nour, A., Slimani, A., and Laouami, N. (2002). Foundation settlement statistics via finite element analysis. Computers and Geotechnics, 29, 641-672. Paiboon, J., Griffiths, D.V., Huang, J., and Fenton, G.A. (2013). Numerical analysis of effective elastic properties of geomaterials containing voids using 3D random fields and finite elements. International Journal of Solids and Structures, 50, 3233-3241. Paice, G.M., Griffiths, D.V., and Fenton, G.A. (1996). Finite element modeling of settlements on spatially random soil. ASCE Journal of Geotechnical Engineering, 122(9), 777-779. Rungbanaphana, P., Honjo, Y., and Yoshida, I. (2010). Settlement prediction by spatial-temporal random process using Asaoka’s method. Georisk, 4(4), 174-185. Vanmarcke, E.H. (1977). Probabilistic modeling of soil profiles. ASCE Journal of Geotechnical Engineering Division, 103(11), 1227-1246. Vanmarcke, E.H. (1984). Random Fields: Analysis and Synthesis, MIT Press, Cambridge, Mass. G.A. Fenton and E.H. Vanmarcke. (1990) Simulation of random fields via local averagesubdivision. Journal of Geotechnical Engineering Mechanics, 116(8):1733--1749, | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/4507 | - |
dc.description.abstract | 本論文屬於空間變異性系列之研究,主要探討具有空間變異性土壤的彈性模數行為,研究方法為:先利用有限元素法計算具有空間變異性土壤之整體彈性模數,後與離散化後隨機場的數學平均相互比較,結果發現當隨機場為等向性(即水平方向之關聯性長度δx=垂直方向之關聯性長度δz)時,水平方向之楊氏模數(Ex)與離散化後之隨機場的幾何平均較為接近,垂直方向之楊氏模數(Ez)與剪力模數(G)與幾何平均較為接近,而當隨機場為異向性時,即水平方向無限大,如同層狀土壤,發現Ex與算數平均較為接近,Ez、G與倒數平均較為接近。
而為驗證上述結果,建立與工地現場相似之基礎模型,即在隨機場化的土壤上方中間放置硬板後,施加均佈應力,等土壤沉陷後輸出各點位移,轉換為反映到基礎的楊氏模數,類似地盤反應系數的概念,並將楊氏模數與不同範圍的隨機場比較,結果發現在等向性隨機場下,只要選取的隨機場範圍適當,似乎幾何平均或倒數平均表現都不錯,而範圍大多為以基礎起算,五倍寬、五倍深的隨機場;異向性隨機場,因為水平方向關聯性長度很大,所以不用考慮比較之寬度變化,範圍大多也為五倍深度最為適當,且皆倒數平均表現比較佳。 | zh_TW |
dc.description.provenance | Made available in DSpace on 2021-05-14T17:42:48Z (GMT). No. of bitstreams: 1 ntu-104-R02521122-1.pdf: 8976805 bytes, checksum: 92776470fd740f1a17d3771434d03308 (MD5) Previous issue date: 2015 | en |
dc.description.tableofcontents | 致謝 I
中文摘要 II Abstract III 符號表 IV 目錄 VI 圖目錄 VIII 表目錄 XII 第一章 緒論 1 1.1 研究背景 1 1.2研究目的與方法 1 1.3本文內容 2 第二章 文獻回顧 3 2.1 如何表示土壤的空間變異性 3 2.2 穩態隨機過程( Stationary stochastic process ) 5 2.3自關聯性函數(Auto-Correlation Function) 6 2.3 平均效應(Average effect) 9 2.4 關聯性長度(scale of fluctuation (correlation length)) 12 2.5 高斯隨機場 (Gusses random filed) 模擬 13 2.6空間變異性相關研究 16 第三章 研究方法 18 3.1 選用之隨機場 20 3.2有限元素分析(Abaqus)之數值模型 23 3.3 如何計算出整體楊氏模數 26 3.4 基礎模型 31 第四章 結果分析與比較 35 4.1 名詞解釋 35 4.1.1 QQ plot (Quantile-Quantile plot) 35 4.1.2 P-value 36 4.2 單隨機場 37 4.2.1 等向性(δx = δz= 1、2、5、10、100) 37 4.2.2 異向性(δx = ∞ δz = 1、2、5、10、100) 48 4.2.3 單隨機場 (δx=50 δz=2) 61 4.3 基礎 71 4.3.1 等向性(δx = δz= 1、2、5、10、100) 71 4.3.1 異向性(δx = ∞ δz= 1、2、5、10、100) 98 第五章 結論與建議 107 5.1 結論 107 5.2 未來方向與建議 108 參考文獻 110 附錄A 113 附錄B 131 | |
dc.language.iso | zh-TW | |
dc.title | 在簡單應力狀態下探討具有空間變異性土壤的整體彈性模數 | zh_TW |
dc.title | Equivalent elastic moduli for a spatially variable soil mass subjected to a simple stress state | en |
dc.type | Thesis | |
dc.date.schoolyear | 103-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 劉家男,葛宇甯 | |
dc.subject.keyword | 隨機場,關聯性長度,空間變異性,有限元素分析,彈性模數, | zh_TW |
dc.subject.keyword | random field,scale of fluctuation,spatial variability,finite element analysis,elastic modulus, | en |
dc.relation.page | 197 | |
dc.rights.note | 同意授權(全球公開) | |
dc.date.accepted | 2015-08-14 | |
dc.contributor.author-college | 工學院 | zh_TW |
dc.contributor.author-dept | 土木工程學研究所 | zh_TW |
顯示於系所單位: | 土木工程學系 |
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