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研究生: 李致頤
Lee, Chih-Yi
論文名稱: 局部尖銳凹痕圓管在循環彎曲負載下行為及毀損之研究
Response and Failure of Local Sharp-dented Circular Tubes 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: 2016
畢業學年度: 104
語文別: 中文
論文頁數: 54
中文關鍵詞: 凹痕圓管循環彎曲力矩曲度橢圓化循環至損壞圈數
外文關鍵詞: Local Sharp-dented Circular Tubes, Cycling Bending, Moment, Curvature, Ovalization, Number of Cycles Required to Produce Failure
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  • 本文主要針對五種不同深度之局部尖銳凹痕6061-T6鋁合金圓管作對稱循環彎曲負載實驗,透過彎管試驗機與曲度-橢圓化量測器,以進行實驗的測試及數據的量測,來探討其相關的力學行為與損壞。從實驗之彎矩-曲度關係圖中可知,在對稱循環彎曲負載下,實驗試件皆會產生些許循環硬化的現象,在經過反覆加載後,其迴圈會趨近於穩定的狀態,且凹痕深度對上述的關係幾乎沒有影響。其次,由橢圓化-曲度關係圖中可發現,橢圓化值會隨循環彎曲圈數的增加,曲線呈現不對稱棘齒狀的增加,且凹痕深度越深,橢圓化增加的速度就越快。由控制曲度-循環至損壞圈數雙對數關係圖中可知,凹痕深度越深,其斜率越平緩,且會為近乎平行的直線。最後,本文參考Kyriakides和Shaw【2】、Lee et al.【8】論文中所提出的理論方程式,在導入尖銳凹痕深度後,提出一個新的理論方程式,來描述不同深度局部尖銳凹痕圓管在循環彎曲負載時,控制曲度與循環至損壞圈數間的關係。此理論分析與實驗值比較後發現,理論能充分描述實驗結果。

    In this thesis, the behavior and failure of local sharp-dented 6061-T6 aluminum alloy tubes with five different dent depths subjected to symmetrical cycling bending were investigated. In order to study the mechanical behavior, the tube bending machine and curvature-ovalization measurement apparatus were used to measure and collect the experimental data. From the moment- curvature relationship, it is shown that the tubes exhibit slightly cyclic hardening and become stable after a few bending cycles. The dent depth has almost no influence on its relationship. Next, for the ovalization-curvature relationship, it is shown that the curves exhibit ratcheting, unsymmetrical and increasing way along with the number of the bending cycles. Larger dent depths lead to faster increase of ovalization. From the controlled curvature-number of cycles required to produce failure relationships on a log-log scale, larger dent depths lead to flatter slopes of the relationship. In addition, the relationships almost become parallel straight lines. Finally, by referring Kyriakides and Shaw [2] and Lee et al. [8], a theoretical formulation was proposed in this thesis to simulate the relationship between the controlled curvature and number of cycles required to produce failure for local sharp- dented circular tubes with different dent depths subjected to cyclic bending. By comparing the theoretical analysis with the experimental data, it is shown that the theoretical formulation can properly simulate the experimental results.

    摘要 I 誌謝 XII 目錄 XIII 表目錄 XV 圖目錄 XVI 符號說明 XIX 第一章緒論 1 1-1研究動機 1 1-2文獻回顧 2 1-3研究目的 10 第二章實驗設備 11 2-1彎管試驗機 11 2-2油壓伺服控制 15 2-3電腦監控系統 19 2-4檢測儀器 21 2-5實驗原理 24 2-6整體效能 27 第三章實驗方法 29 3-1實驗材料與規格 29 3-2實驗方式 31 3-3實驗步驟 31 3-4實驗數據整理 33 3-5實驗注意事項 35 第四章實驗結果與理論分析 37 4-1力學行為之實驗結果 37 4-1-1 彎矩與曲度之關係 37 4-1-2橢圓化與曲度之關係 41 4-1-3控制曲度與循環至損壞圈數之關係 44 4-2理論分析 45 第五章結論 51 參考文獻 52

    1. P. K, Shaw. andKyriakides, S., “Inelastic Analysis of Thin-Walled Tubes under Cyclic Bending”, International Journal of Solids and Structures, Vol. 21, No. 11, pp.1073-1110(1985).
    2. Kyriakides, S. and P. K, Shaw.,”Inelastic Buckling of Tubes under Cyclic Loads”,ASME Journal of Pressure Vessel and Technology, Vol. 109, pp. 169-178 (1987).
    3. Corona. E. and Kyriakides, S.,”An Experimental Investigation of the Degradation and Buckling of Circular Tubes under Cyclic Bending and External Pressure”,Thin-Walled Structures, Vol. 12, pp. 229-263 (1991).
    4. Corona. E. and Kyriakides, S.,”On the collapse of Inelastic Tubes under Combined Bending and Pressure”,International Journal of Solids and Structures, Vol. 24, pp. 505-535(1988).
    5. W. F. Pan, T. R. Wang and C. M. Hsu,”A curvature-ovalization measurement apparatus for circular tubes under cyclic bending”,Experimental Mechanics, Vol. 38, No. 2, pp.99-102 (1998).
    6. W. F. PanandC. H. Fan, “An experimental study on the effect of curvature-rate at preloading stage on subsequent creep or relaxation of thin-walled tubes under pure bending”, JSME InternationalJournal, Series A, Vol. 41, No. 4, pp. 525-531 (1998).
    7. W. F. PanandC. H. Fan, “An experimental study on the effect of curvature-rate at preloading stage on subsequent creep or relaxation of thin-walled tubes under pure bending”, JSME InternationalJournal, Series A, Vol. 41, No. 4, pp. 525-531 (1998).
    8. Lee, K. L., and Pan, W. F. “ Viscoplastic Collapse of Titanium
    Alloy Tube under Cyclic Bending, ” Structural Engineering andMechanics – an International Journal, Vol. 11, No.3, pp. 315-324.(2001)
    9. K. L. Lee, W. F. Pan and J. N. Kuo, The influence of the diameter-to-thickness ratio on the stability of circular tubes under cyclic bending, International Journal of Solids and Structures, Vol. 38, No. 14, pp. 2401-2413 (2001).
    10. W. F. Pan and K. L. Lee, The effect of mean curvature on the response and collapse of thin-walled tubes under cyclic bending, JSME International Journal, Series A, Vol. 45, No. 2, pp. 309-318 (2002).
    11. 徐建民、李國龍和潘文峰,圓管在對稱與不對稱循環彎曲負載下力學行為之實驗研究,技術學刊,第十八卷,第二期,257-262頁(2003)。
    12. K. L. Lee, W. F. Pan and C. M. Hsu, Experimental and theoretical evaluations of the effect between diameter-to-thickness ratio and curvature-rate on the stability of circular tubes under cyclic bending, JSME International Journal, Series A, Vol. 47, No. 2, pp. 212-222 (2004).
    13. K. H. Chang, C. M. Hsu, S. R. Sheu and W. F. Pan, Viscoplastic response and collapse of 316L stainless steel under cyclic bending, Steel and Composite Structures, Vol. 5, No. 5, pp. 359-374 (2005).
    14. 張高華、李國龍和潘文峰,圓管承受循環彎曲負載截面變形量測器之設計,技術學刊,第二十三卷,第一期,21-28頁(2008)。
    15. K. H. Chang and W. F. Pan, Buckling life estimation of circular tubes under cyclic bending, International Journal of Solids and Structures, Vol. 46, No. 2, pp. 254-270 (2009).
    16. K. L. Lee, C. Y. Hung, H. Y. Chang and W. F. Pan, Buckling life estimation of circular tubes of different materials under cyclic bending, Journal of Chinese Institute Engineers, Vol. 33, No. 2, pp. 177-189 (2010).
    17. K. L. Lee, C. M. Hsu and W. F. Pan, The influence of diameter-to-thickness ratios on the response and collapse of sharp-notched circular tubes under cyclic bending, Journal of Mechanics, Vol. 28, No. 3, pp. 461-468 (2012).
    18. . L. Lee, C. M. Hsu and W. F. Pan, The influence of mean curvatures on the collapse of sharp-notched circular tubes under cyclic bending, Journal of Chinese Society of Mechanical Engineering, Vol. 34, No. 5, pp. 461-468 (2013).
    19. K. L. Lee, C. M. Hsu and W. F. Pan, Response of sharp-notched circular tubes under bending creep and relaxation, Mechanical Engineering Journal, Vol. 1, No. 2, pp. 1-14 (2014).
    20. K. L. Lee, C. H. Meng and W. F. Pan, The influence of notch depth on the response of local sharp-notched circular tubes under cyclic bending, Journal of Applied Mathematics and Physics, Vol. 2, No. 6, pp. 335-341 (2014).
    21. K. L. Lee, Y. Wang and W. F. Pan, Finite element analysis on the response of local sharp-notched circular tubes under cyclic bending, Key Engineering Materials, Vol. 626, pp. 34-39 (2015).

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