博碩士論文 973202034 詳細資訊




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姓名 鄔定樺(Ting-Hua Wu)  查詢紙本館藏   畢業系所 土木工程學系
論文名稱 掃描線法量測體積比之不確定性-解析解及驗證
(Uncertainty in Estimation of Volumetric Block Proportionby Using Scanline Method -Analytical Solution and Demonstrate)
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摘要(中) 本研究探討掃描線法(scanline method)使用於岩塊體積比(volume block proportion, VBP)量測之不確定性。使用掃描線法量測物體時,不同的掃描線長度,影響量測岩塊體積比的不確定性(uncertainty)。郭明傳(2005)使用四種不同外框形狀與橢圓或圓顆粒的表徵單元(representative volume element, RVE)隨機串接成不同長度的掃描線,經由簡單隨機抽樣的數值模擬得到不同掃描線長度對量測的不確定性。本研究由統計推導方式,利用樣本點法和中央極限定理,計算量測長度對不確定性的解析解,進一步解釋郭明傳(2005)數值模擬所得的結果。結果顯示解析解與郭明傳(2005)數值模擬兩者相符合。現地量測資料,可使用本研究解析解,計算掃描線法量測岩塊體積比之不確定性。
摘要(英) This research discusses “scanline method” which is used in volume block proportion (VBP) for uncertainty. The major factor which affects the uncertainty of VBP is different scanline lengths. Kuo(2005) uses four kinds of representative volume element (RVE) with different outer edge shape and ellipse or the circular blocks connects the different length of the scanline by simple random sample to simulate VBP uncertainty. This research use the statistical sample point, the central limit theorem, and the length of computation for the uncertainty analytic solution, to explain the Kuo(2005) result of simulation. This research showed the analytic solution match the numerical simulation of Kuo(2005). For the in-situ data, we suggest that use analytic solution of this research to calculate the scanline method for measuring VBP uncertainty.
關鍵字(中) ★ 掃描線法
★ 岩塊體積比
★ 表徵單元
關鍵字(英) ★ representative volume element
★ scanline method
★ volume block proportion
論文目次 摘要 I
Abstract II
誌謝 III
目錄 IV
圖目錄 VI
表目錄 IX
符號說明 X
第一章 緒論 1
1.1 研究動機與目的 1
1.2 研究方法 2
1.3 論文內容與架構 3
第二章 文獻回顧 4
2.1 岩塊體積比量測的重要性 4
2.2 立體量測學(Stereology) 7
2.3 掃描線法數值模擬 8
2.4 掃描線法於圓顆粒解析解 17
2.5 面積比法 19
2.6 中央極限定理(Central Limit Theorem) 23
第三章 掃描線法量測併構岩體表徵單元體積比 26
3.1 表徵單元(RVE)簡介 26
3.2 表徵單元(RVE)推導概念 29
3.3 表徵單元抽樣偏頗性(biased)的影響 31
3.4 表徵單元不確定性推導 40
3.5 表徵單元(RVE)角度與k值影響 57
3.6 表徵單元(RVE)隨機角度之不確定性 63
3.7 推導結果與前人研究結果比較 68
第四章 案例驗證 73
4.1 數值方法 73
4.2 解析方法 75
4.3 驗證結果 87
第五章 結論與建議 91
5.1 結論 91
5.2 建議 92
參考文獻 93
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指導教授 田永銘(Yong-Ming Tien) 審核日期 2010-7-26
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