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研究生: 董家彬
Dong, Jia-Bin
論文名稱: 液壓裂岩機之裂岩機制研究
Rock Splitting Analysis of the Power Splitter
指導教授: 張瑞麟
Chang, Jui-Lin
學位類別: 碩士
Master
系所名稱: 工學院 - 資源工程學系
Department of Resources Engineering
論文出版年: 2003
畢業學年度: 91
語文別: 中文
論文頁數: 80
中文關鍵詞: 有限元素分析程式ANSYS加載速率劈裂試驗楔型角
外文關鍵詞: wedge angle, finite element analysis program ANSYS, loading rate, splitting
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  • 摘 要

    本研究以平面應力假設並配合有限元素分析程式ANSYS 5.7版,針對裂岩機劈裂桿之性能,以不同的加載速率及楔型角度來進行數值模擬分析。此外,於實驗室進行小型劈裂模擬試驗,以五種不同之加載速率(5,15,25,35,45 ㎜/min),對兩組不同尺寸之試體(C組試體:0.4×0.4×0.09 m3,D組試體:0.32×0.68×0.09 m3),進行劈裂試驗;並以高速攝影機拍攝,藉以觀察裂縫開裂之過程。
    在程式模擬方面,固定加載速率且變化大小不同之楔型角度,由最大張力處(A點)之應力值顯示,當楔型角愈大,將產生更大之側向徑向力。另外,分析尺寸效應問題,當劈裂路徑愈長,所得到之應力值愈小;但模擬變化不同之加載速率,以試體在同一長度(L),變化寬度(H)之作用下,1/4幾何形狀之X軸邊界上各點之應力值,無太大之變化。
    實驗中,因試體尺寸及高速攝影機本身之限制,所以選擇1000張/秒)之拍攝速度,來擷取劈裂過程;且在10公分之尺標內,裂縫通過不到0.001s,故推估水泥砂漿試體裂縫傳播速率大於100 m/s。此外,以不連續面粗糙度(JRC值)之十個標準之粗糙剖面來量測破裂面粗糙度,其JRC值介於4到8之間;由JRC值之分佈顯示,當加載速率愈快,試體破裂面粗糙度之JRC值有愈大之趨勢。

    關鍵字:有限元素分析程式ANSYS、加載速率、楔型角、劈裂試驗

    Abstract
    This study is performing data simulating analysis regarding the capability of Splitter’s thrust rod with different loading rates and wedge angles assuming plane stress in combination with finite element analysis program ANSYS 5.7. Besides, a few minor splitting simulating tests has been run in the laboratory using two different sizes of samples (sample C:0.4×0.4×0.09 m3,sample D:0.32×0.68×0.09 m3 ) with 5 sets of loading rates (5,15,25,35,45 ㎜/min) ; meanwhile, observing the progress of crack’s fracturing by high-speed video system.
    In the program’s simulation at fixed loading rate with diverse wedge angles, the stress at the point (point A) with highest tension shows that the higher wedge angle result in a higher lateral radial stress. Furthermore, analyzing the dimension effects displays that the longer the splitting path is, the smaller the stress will be. However, when we simulate diverse loading rates, the stress values of every point remains less differential in the margin of x-coordinate of quadrant with same length (L) and diverse width (W) samples.
    During the experiments, owing to the limit of sample’s size and high-speed video camera, we chose video speed of 1000 sheets per second to capture the splitting progress. In a 10cm measure, the crack will pass through less than 0.001s. So, we presume the transmitting speed of cracking cement-martar sample is more than 100 m/s. Furthermore, evaluate the roughness of crack plane by 10 standard rough profiles of Joint roughness coefficient (JRC), the JRC of samples are between 4~8. The distribution of JRC shows that the faster of loading rate goes, the tendency to higher value of JRC is.

    Keyword:finite element analysis program ANSYS,loading rate,wedge angle,splitting

    目 錄 頁次 摘 要…………………………………………………………………...…..Ⅰ Abstract………………………………………………………………...........Ⅱ 誌謝………………………………………………………………………….Ⅲ 目 錄……………………………………………………………………….Ⅳ 表目錄……………………………………………………………………….Ⅶ 圖目錄……………………………………………………………………….Ⅷ 理論與實驗分析之符號定義………………………………….………....ⅩⅠ 第一章 緒論………………………………………………………………….1 1.1 研究背景與動機……………………………………………………1 1.2 研究目的與內容……………………………………………………2 1.3 研究架構………………………...………………………………….3 第二章 前人研究…………………………………………………………….5 2.1 圓形孔洞之力學分析………………………………………………5 2.2 裂岩機之介紹………………………………………………………8 2.3 裂岩機之現地試驗…………………………………………..........18 2.4 國內現有工法之比較……………………………………………..22 2.5 小結…………………………………………………………..........24 第三章 理論模式………………………………………………………...…25 3.1 圓形孔洞之基本假設設……………………………………..........25 3.2 平面應力問題………………………………………………..........26 3.3 小結…………………………………………………………..........30 第四章 分析程式之數值驗證……………………………………………...32 4.1 有限元素分析程式ANSYS………………………………………32 4.1.1 程式架構……………………………………………………...33 4.1.2 圓孔邊界之應力分析簡介…………………………………...36 4.2 數值案例驗證………………………………………………..........37 4.3 敏感度分析…………………………………………………..........41 4.3.1 楔型角………………………………………………………...42 4.3.2 邊界效應……………………………………………………...43 4.3.3 小結…………………………………………………………...49 4.4 三維數值分析………………………………………………..........50 4.4.1 案例介紹……………………………………………………...50 4.4.2 案例分析……………………………………………………...51 第五章 劈裂試驗與結果分析……………………………………………...53 5.1 研究設備……………………………………………………..........53 5.1.1 載重系統及資料擷取系統…………………………………...53 5.1.2 高速攝影系統………………………………………………...55 5.2 試驗方法……………………………………………………..........57 5.2.1 基本假設……………………………………………………...57 5.2.2 力量的傳遞…………………………………………………...57 5.2.3 試驗規劃…………………………………………………...…57 5.2.4 材料概述……………………………………………………...58 5.2.5 水泥砂漿試體製作…………………………………………...59 5.2.6 材料之基本力學試驗…………………………………...……61 5.2.7 粗糙度量測…………………………………………………...63 5.3 試驗結果與討論……………………………………………..........65 5.3.1 裂縫傳播速率觀測…………………………………………...65 5.3.2 最大破壞載重(Pmax)……………………………………….67 5.3.3 破裂面粗糙度……………………………………………...…68 5.3.4 試體劈裂破壞後之定性描述……………………………...…68 第六章 結論與建議………………………………………………………...74 6.1 結論…………………………………………………………...…...74 6.2 建議………………………………………………………...……...76 參考文獻……………………………………………………………...……..77

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