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研究生: 蘇暉凱
Su, Hui-Kai
論文名稱: 不同外徑/壁厚比圓孔管在循環彎曲負載下平均曲率對響應與失效影響之研究
Mean Curvature Effect on the Response and Failure of Round-hole Tubes with Different Diameter-to-thickness Ratios under Cyclic Bending
指導教授: 潘文峰
Pan, Wen-Fung
學位類別: 碩士
Master
系所名稱: 工學院 - 工程科學系
Department of Engineering Science
論文出版年: 2022
畢業學年度: 110
語文別: 中文
論文頁數: 64
中文關鍵詞: 6061-T6鋁合金圓孔管循環彎曲外徑/壁厚比圓孔直徑曲率比曲率彎矩橢圓化循環至損壞圈數
外文關鍵詞: 6061-T6 Aluminum Round-hole Tube, Cyclic Bending, Diameter-to-thickness Ratio, Hole Diameter, Curvature Ratio, Curvature, Moment, Ovalization, Number of Cycles Needed to Initiate Failure
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  • 本文研究不同外徑/壁厚比與不同圓孔直徑的6061-T6鋁合金圓孔管在不同曲率比循環彎曲負載下的響應與失效,其中的不同外徑/壁厚比有:16.5、31.0與60.0,不同圓孔直徑有: 2、4、6、8與10 mm,而不同曲率比有:-1、-0.5、0與0.5。根據實驗結果顯示,不同圓孔直徑對於彎曲-曲率的關係幾乎沒有影響,但對橢圓化-曲率的關係則有顯著的影響。當曲率比為-1時,從第一個循環圈數開始,彎曲-曲率關係即呈現為一個穩定的迴圈關係,而橢圓化-曲率的關係則呈現棘齒、增長與不對稱的趨勢。當曲率比為 -0.5、0或0.5時,由於曲率範圍變小,導致彎矩-曲率從第二個循環圈數起即呈現線彈性的關係,且隨著循環圈數的增加,該關係會有些許鬆弛但之後很快又會回到一個穩定的狀態。此外,當固定外徑/壁厚比時,各別圓孔直徑的曲率範圍-循環至損壞圈數雙對數座標關係顯示,四種不同曲率比對應出四條相互平行的直線。最後,本文使用Lee等人[14]所提出理論來描述不同外徑/壁厚比與不同圓孔直徑的6061-T6鋁合金圓孔管在不同曲率比循環彎曲負載下曲率範圍-循環至損壞圈數的關係,在與實驗結果進行比較後發現,理論可合理的描述實驗結果。

    SUMMARY
    This paper mainly studies the response and failure of 6061-T6 aluminum alloy round-hole tubes with different diameter-to-thickness ratios and different hole diameters subjected to cyclic bending with different curvature ratios. The different diameter-to-thickness ratios are: 16.5, 31.0 and 60.0, the different hole diameters are: 2, 4, 6, 8 and 10 mm, and the different curvature ratios are: -1, -0.5, 0 and 0.5. According to the experimental results, different hole diameters have little effect on the relationship between moment and curvature, but they have a significant effect on the relationship between ovalization and curvature. When the curvature ratio is -1, from the first cycle, the moment-curvature relationship presents a stable loop. However, the ovalization-curvature relationship shows an asymmetrical, ratcheting, growing and bowtie trend. When the curvature ratio is -0.5, 0 or 0.5, since the curvature range becomes smaller, the moment-curvature relationship shows a linear elastic trend from the second cycle. As the number of cycles increases, the relationship depicts a little relax but quickly becomes a steady state. In addition, when the diameter-to-thickness ratio is fixed, the relationships between the curvature range and the number of cycles needed to initiate failure for each hole diameter in double logarithmic coordinates show four mutually parallel straight lines correspond to four different curvature ratios. Finally, this study employs the theory proposed by Lee et al. in 2021 to describe the aforementioned relationships. After comparing the theoretical analysis with the experimental result, it is found that the theory can reasonably describe the experimental result.

    摘要I 英文延伸摘要II 致謝XXXVII 目錄XXXVIII 圖目錄XLII 表目錄XLVI 符號說明XLVII 第一章 緒論1 1.1研究動機1 1.2文獻回顧1 1.3研究目的6 第二章 實驗設備7 2.1彎管實驗機7 2.1.1支撐座 (Support Beam)7 2.1.2承軸座 (Pillow block)7 2.1.3鏈輪 (Sprocket)7 2.1.4鏈條 (Chain)8 2.1.5滾子(Roller)8 2.1.6實心桿(Solid Rod)8 2.2 液壓伺服控制系統10 2.2.1液壓缸(Hydraulic cylinder)10 2.2.2伺服閥(Servo Valve)11 2.2.3幫浦(Pump)11 2.2.5過濾器(Filter)11 2.2.6油管(Oil Pipe)11 2.2.7冷卻器(Cooler)11 2.2.8洩壓閥(Relief Valve)11 2.2.9止逆閥(ON/OFF Valve)12 2.2.10調壓閥(Check Valve)12 2.2.11油箱(Oil Tank)12 2.2.12壓力錶(Pressure Gauge)12 2.2.13油路板(Hydraulic Manifold Block)12 2.3監控系統15 2.3.1可程式化邏輯控制器(PLC: Programmable Logic Controller)15 2.3.2人機介面(HMI: Human Machine Interface)15 2.3.3伺服閥控制器(Servo valve controller)16 2.4檢測儀器16 2.4.1荷重檢出器(Load Cell)16 2.4.2雷射測距儀16 2.5實驗原理18 2.5.1彎矩控制(Moment Control)18 2.5.2曲率控制(Curvature Control)18 2.5.3無軸向力18 2.6整體效能19 2.6.1彎曲力矩(Moment,M)19 2.6.2橢圓化(Ovalization,ΔD/D0)20 第三章 實驗與方法21 第三章實驗方法21 3.1實驗材料與規格21 3.2實驗方式22 3.3實驗步驟22 3.3.1實驗前置作業22 3.3.2啟動實驗機台22 3.3.3儀器歸零與參數設定22 3.3.4實驗執行23 3.3.5數據收集23 3.4實驗數據換算與整理23 3.4.1彎曲曲率(Curvature,κ)23 3.4.2彎曲力矩(Moment,M)25 3.4.3橢圓化(Ovalization,ΔD/D0)25 3.4.4曲率比(Curvature Ratio,r)26 3.4.5循環至損壞圈數(Nf)26 3.5實驗注意事項26 3.5.1確認冷卻系統正常26 3.5.2系統機構維護及保養26 3.5.3確認系統訊號27 3.5.4確認量測校正27 第四章 結果與理論分析28 4.1實驗結果28 4.1.1彎矩-曲率關係28 4.1.2橢圓化-曲率關係35 4.1.3控制曲率範圍與循環至損壞圈數之關係49 4.2理論分析56 4.2.1理論公式56 4.2.2實驗結果與理論分析之比較57 第五章 結論61 5.1結論61 參考文獻63

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