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研究生: 陳信豪
Chen, Shin-Hau
論文名稱: 尖銳凹槽薄壁管在循環彎曲負載下黏塑性力學行為和皺曲損壞之研究
The Viscoplastic Mechanical Behavior and Buckling Failure of Sharp-Notched Thin-Walled 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: 2010
畢業學年度: 98
語文別: 中文
論文頁數: 79
中文關鍵詞: 彎管試驗機循環彎曲
外文關鍵詞: tube bending machine, symmetric cycling bending
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  • 本文主要係實驗探討具五種不同尖銳凹槽深度(0.2、0.4、0.6、0.8及1.0 mm)的SUS304不銹鋼管在不同曲度速率對稱循環彎曲負載下黏塑性力學行為與皺曲破壞的關係。實驗是透過彎管試驗機與曲度-橢圓化量測器以不同控制曲度與曲度速率來進行實驗及量測再收集資料。從彎矩-曲度關係圖發現,實驗試件在曲度控制下做循環彎曲負載時,皆有發生循環硬化的現象,且隨著循環不斷的加載與卸載,彎矩-曲度曲線迴圈也漸漸穩定。從橢圓化-曲度關係圖觀察,橢圓化隨著循環彎曲的圈數增加,圖形呈現棘齒狀成長,橢圓化到某一極值時,圓管發生皺曲破壞。由曲度-循環至皺曲圈數關係圖來看,控制曲度速率越大時,產生皺曲破壞所需要的循環圈數就越少。若將上述實驗值置於雙對數座標中,可發現五個不同凹槽深度的試件分別在三個不同曲度速率下皆呈現關係近似五條平行的直線,最後,本文參考Shaw 和 Kyriakides【2】,Pan 與 Her【8】及范揚東【14】等人論文中所提出的理論方程式,綜合以提出可以描述在不同尖銳凹槽深度且控制不同曲度速率下做循環彎曲負載時,控制曲度與皺曲破壞圈數的關係理論方程式。再將理論方程式所分析的結果與實驗數據做比較,發現理論分析可以充分描述實驗結果。

    This thesis presents the experimental viscoplastic behavior and buckling failure on SUS 304 stainless steel tubes with five different sharp-notched depths (0.2, 0.4, 0.6, 0.8 and 1.0 mm) subjected to symmetric cycling bending test. The experiment used tube bending machine and curvature-ovalization measurement apparatus to control and measure different curvature and different curvature-rate. It can be observed from the experimental moment-curvature curves that all of the tubes have hardened cyclically during the symmetric cycling bending test and become steady after few cycles. As for the ovalization-curvature curve, the ovalization of the tube’s cross-section increases in a ratcheting manner with the number of cycles. When the ovalization reaches a limit, the tube buckles. In addition, from the curvature-number of cycles to produce buckling curve, the larger control curvature rate leads to fewer number of cycles to produce buckling. If the experimental data plot in the log-log scale, for each curvature rate, the aforementioned relationship shows five almost parallel straight lines corresponded to five different notch depths. Finally, this thesis refers the theoretical equations proposed by Shaw and Kyriakides【2】, Pan and Her【8】and Fan【14】, a theoretical formulation was proposed in this thesis to simulate the relationship between the controlled curvature and the number of cycles to produce buckling for any notch depth under any curvature rate. By comparing the simulations with the experimental data, it can be seen that the theoretical formulation can properly simulate the experimental results.

    目錄 頁次 摘 要 -------------------------------------- Ⅰ Abstract-------------------------------------- Ⅱ 誌  謝 -------------------------------------- Ⅲ 目 錄 -------------------------------------- IV 表 目 錄 -------------------------------------- Ⅵ 圖 目 錄 -------------------------------------- Ⅶ 符號說明 -------------------------------------- ⅩⅣ 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----------------------------------- 9 第二章 實驗設備------------------------------- 10 2-1 彎管實驗機---------------------------------- 10 2-2 油壓伺服控制系統----------------------------- 12 2-3 電腦控制系統-------------------------------- 14 2-4 檢測儀器----------------------------------- 15 2-5 實驗原理----------------------------------- 18 2-6 整體效能----------------------------------- 19 第三章 實驗方法------------------------------- 30 3-1 實驗方式----------------------------------- 30 3-2 實驗材料與幾何形狀--------------------------- 30 3-3 實驗程序----------------------------------- 30 3-4 資料收集與整理------------------------------ 33 3-5 注意事項----------------------------------- 35 第四章 實驗結果與理論分析----------------------- 40 4-1 力學行為之實驗結果--------------------------- 40 4-1-1 彎矩與曲度關係---------------------------- 41 4-1-2 曲度與橢圓化關係-------------------------- 42 4-1-3 曲度與皺曲損壞圈數關係---------------------- 43 4-2 理論分析----------------------------------- 44 第五章 結論---------------------------------- 75 參考文獻 ------------------------------------- 77

    1.Shaw, P. K. and Kyriakides, S., 1985, “ Inelastic Analysis of Thin-Walled Tubes under Cyclic Bending, ” International Journal of Solids and Structures, Vol. 21, pp. 1073-1100.

    2.Kyriakides, S. and Shaw, P. K., 1987, “ Inelastic Buckling of Tubes under Cyclic Bending, ” Journal of Pressure Vessel Technology, Vol. 109, pp.169-178.

    3.Corona, E. and Kyriakides, S., 1988, “ On the Collapse of Inelastic Tubes under Combined Bending and Pressure, ” International Journal of Solids and Structures, Vol. 24, pp. 505-535.

    4.Corona, E. and Kyriakides, S., 1991, “ An Experimental Investigation Degradation and Buckling of Circular Tubes under Cyclic Bending and External Pressure , ” Thin-Walled Structures, Vol. 12, pp. 229-263.

    5.Ju, G. T. and Kyriakides, S., 1992, “ Bifurcation Buckling Versus Limit Load Instabilities of Elastic-Plastic Tubes under Bending and External Pressure, ” Journal of Offshore Mechanics and Arctic Engineering, Vol. 113, pp. 43-52.

    6.Vaze, P. and Corona, E., 1996, “ Degradation and Collapse of Tube under Cyclic Bending, ” Thin Wall Structures, Vol. 31, pp. 325-341.

    7.Pan, W. F., Wang, T. R. and Hsu, C. M., 1998, “ A Curvature-Ovalization Measurement Apparatus for Circular Tubes under Cyclic Bending, ” Experimental Mechanics, Vol. 38, No.2, pp. 99-102.

    8.Pan, W. F., Her and Y. S., 1998, “ Viscoplastic Collapse of Thin-Walled Tubes under Cyclic Bending, ” Journal of Engineering Materials and Technology, Vol. 120, pp. 001-004.

    9.Pan, W. F. and Fan, C. H., 1998, “ 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 International Journal, Series A, Vol. 41, No.4, pp. 525-531.

    10.Lee, K. L., Pan, W. F. and Kuo, J. N., 2001, “ 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, pp. 2401-2413.

    11.Lee, K. L., and Pan, W. F., 2001, “ Viscoplastic Collapse of Titanium Alloy Tube under Cyclic Bending, ” Structural Engineering and Mechanics – an International Journal, Vol. 11, No.3, pp. 315-324.

    12.Lee, K. L. and Pan, W. F., 2002, “ Pure Bending Creep of SUS 304 Stainless Steel Tuber, ” Steel and Composite Structures - an International Journal, Vol. 2, No.6, pp. 461-474.

    13.Lee, K. L., Shie, R. F. and Chang, K. H., 2005, “ Experimental and Theoretical Investigation of the Response and Collapse of 316L Stainless Steel Tubes Subjected to Cyclic Bending, ” JSME International Journal, Series A , Vol. 48, No.3, pp. 155-162 .

    14.陳立銓,2007,「不同內外直徑圓管在循環彎曲負載下力學行為及皺曲損壞之分析」,國立成功大學工程科學研究所碩士論文。

    15.范揚東,2008,「尖銳凹槽薄壁管在循環彎曲負載下力學行為及皺曲損壞之研究」,國立成功大學工程科學研究所碩士論文。

    16.廖信智,2009,「尖銳凹槽薄壁管在循環彎曲負載下黏塑性皺曲行為之研究」,國立成功大學工程科學研究所碩士論文。

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