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研究生: 徐源鴻
Xu, Yuan-Hong
論文名稱: 橢圓長寬比對二維顆粒混合物分層效應影響之研究
On the effects of the aspect ratio on the particle segregation in a spherical granular matter with a tracing elliptic grain in two-dimension vertical vibration
指導教授: 方中
Fang, Chung
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: 2010
畢業學年度: 98
語文別: 中文
論文頁數: 97
中文關鍵詞: 分層效應橢圓長寬比垂直振動
外文關鍵詞: segregation, elliptic aspect ratio, vertical vibration
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  • 本研究是有關橢圓長寬比在二維乾燥顆粒混合物中分層現象效應影,顆粒混合物由單一橢圓顆粒(示蹤顆粒)與大量且相同的圓球顆粒(環境顆粒)所組成。數值模擬結果指出,隨著橢圓長寬比的增加,示蹤顆粒上升至混合物頂部的時間變短:並有著增強分離現象。這樣的效應和因顆粒大小導致分層現象的結果相比較,更可以明顯的觀察到。對於橢圓示蹤顆粒的上升運動,結果發現存在著五個物理機制有著許多的貢獻:
    (1)拱效應的形成
    (2)滲透機制作用
    (3)示蹤顆粒的投影面
    (4)示蹤顆粒的力矩效應
    (5)近示蹤顆粒的環境顆粒之移動軌跡影響

    The present study is concerned with the effects of the aspect ratio on the segregation phenomena in a binary dry granular mixture composed of a single elliptic particle ( trace particle ) and a large amount of identical spherical particles ( environmental particles ). Numerical simulations show that as the aspect ratio increases, the time span for the trace particle rising to the top of the mixture becomes shorter: an index for the enhanced segregation phenomena. Such an effect becomes more obvious when compared to the result from the size-induced segregation phenomena. It is found that there exist five physical mechanisms that many contribute to the rising motions of the elliptic trace particle:
    (i) the formation of the arch effects ;
    (ii) the permeation effects ;
    (iii) the projection area of the trace particle ;
    (iv) the tilding torque of the trace particle; and
    (v) the moving trajectory of the environmental particles near the trace particle.

    摘 要----------------------------------------------------- i 誌 謝--------------------------------------------------- iii 目 錄---------------------------------------------------- iv 表 目 錄------------------------------------------------- vi 圖 目 錄------------------------------------------------ vii 符號說明-------------------------------------------------- x 第一章 顆粒物質論述--------------------------------------- 1 1.1 何謂顆粒物質------------------------------------------ 1 1.2 為何要研究顆粒物質------------------------------------ 1 1.3 剪脹性現象-------------------------------------------- 2 1.4 拱效應和筒倉現象-------------------------------------- 3 1.5 對流現象---------------------------------------------- 6 1.6 巴西堅果效應------------------------------------------ 7 1.7 論文架構--------------------------------------------- 11 第二章 離散元素法論述------------------------------------ 12 2.1 離散元素法起緣--------------------------------------- 12 2.2 離散元素法基本理念----------------------------------- 13 2.3 離散元素法運算公式----------------------------------- 15 2.4 顆粒模型建立方式------------------------------------- 17 2.5 離散元素法之商業套裝軟體EDEM介紹--------------------- 20 第三章 文獻回顧------------------------------------------ 23 3.1 前言------------------------------------------------- 23 3.2 簡述文獻內容成果------------------------------------- 23 3.3 材料參數設定----------------------------------------- 24 3.3.1 恢復係數(Coefficients of Restitution)------------ 24 3.3.2 摩擦係數(Coefficient of friction)---------------- 25 3.3.3 模擬材料參數設定----------------------------------- 28 3.4 環境模型定義----------------------------------------- 29 3.4.1 振動槽尺寸設定------------------------------------- 29 3.4.2 振動槽顆粒生成設定--------------------------------- 30 3.4.3 振動槽動力設定------------------------------------- 32 3.4.4 時步(Time step)---------------------------------- 32 3.5 顆粒模型製作----------------------------------------- 35 3.6 文獻驗證結果----------------------------------------- 43 3.7 第四章前置模擬--------------------------------------- 51 第四章 橢圓顆粒分離現象模擬------------------------------ 53 4.1 前言------------------------------------------------- 53 4.2 模擬模型製作----------------------------------------- 53 4.3 橢圓盤示蹤顆粒不同長寬比之模擬結果------------------- 59 4.4 結果分析與探討--------------------------------------- 83 第五章 結論與建議---------------------------------------- 93 5.1 研究結論--------------------------------------------- 93 5.2 研究建議--------------------------------------------- 94 參考文獻------------------------------------------------- 95 簡歷----------------------------------------------------- 97

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