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研究生: 陳煜翰
Chen, Yu-Han
論文名稱: 不同外徑/壁厚比凹槽薄壁管在循環彎曲負載下力學行為和皺曲損壞之研究
The Mechanical Behavior and Buckling Failure of Notched Thin-Walled Tubes with Different Diameter/Thickness Ratios under Cyclic Bending
指導教授: 潘文峰
Pan, Wen-Feng
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: 75
中文關鍵詞: 尖銳凹槽循環彎曲皺曲損壞
外文關鍵詞: sharp-notched depths, cyclic bending, buckling failure
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  • 本文主要針對兩種不同管徑具有五種不同尖銳凹槽深度的SUS 304不鏽鋼管作對稱循環彎曲負載實驗,以探討其力學行為與皺曲損壞的關係。實驗係透過彎管實驗機與曲度-橢圓化量測器來進行實驗數據的控制、量測及蒐集。從實驗彎矩-曲度曲線圖中顯示,在對稱控制曲度循環彎曲負載時,實驗試件皆會產生循環硬化的現象,且經過反覆的加載與卸載後,其迴圈會漸趨於穩定。其次,由實驗橢圓化-曲度的曲線圖發現,橢圓化量會隨著循環彎曲的圈數增加而成棘齒狀的增加,且當橢圓化量增加到某一個臨界值時,圓管便會發生皺曲損壞。此外,由實驗曲度-循環彎曲至皺曲圈數的關係圖可看出,控制曲度與循環彎曲至皺曲圈數成反比的關係。若將上述實驗值置於雙對數座標中可發現,不論圓管管徑大小,五個不同尖銳凹槽深度的試件皆近似為五條幾乎平行的直線。最後,本文參考Lee、Pan和Kuo【9】、陳立銓【16】與林家宇【17】的理論模型,提出一個可以描述不同外徑同時具有不同尖銳凹槽深度SUS 304不鏽鋼管在循環彎曲負載下,控制曲度與循環彎曲至皺曲圈數關係的理論方程式。在與實驗值做比對後發現,理論分析能合理的描述實驗結果。

    This thesis investigates the mechanical behavior and buckling failure of SUS 304 stainless steel tubes with two different outside diameter and five different sharp-notched depths subjected to symmetric cycling bending. The tube bending machine and curvature-ovalization measurement apparatus was used to control, measure and collect the experimental data. It can be observed from the experimental moment-curvature curve that the tube exhibits cyclical hardening during the symmetric cycling bending and becomes steady after a few cycles. Secondly, for the experimental ovalization-curvature curve, the ovalization of the tube cross-section increases in a ratcheting manner with the number of cycles. When the tube ovalization reaches to a critical amount, the tube buckles. Besides, it is shown in the experimental curvature-number of cycles curve that the larger control curvature leads to a fewer amount of the number of cycles. If the aforementioned experimental data plot in a log-log scale, no matter circular pipe caliber size, five almost parallel straight lines can be found for five different sharp-notched depths. Finally, by referring the theoretical formulations proposed by Shaw and Kyriakides【2】, Lee et al.【9】, Chen【16】, Lin【17】, a theoretical formulation was proposed to simulate the relationship between the controlled curvature and the number of cycles to produce buckling with notched thin-walled Tubes with different outside diameter. By comparing the theoretical analysis with the experimental data, it is shown that the theoretical formulation can properly simulate the experimental results.

    目錄 頁次 摘 要 ---------------------------------------------------Ⅲ Abstract------------------------------------------------Ⅳ 誌  謝 --------------------------------------------Ⅴ 目 錄 --------------------------------------------------Ⅵ 表 目 錄 ----------------------------------------------Ⅷ 圖 目 錄 --------------------------------------------------Ⅸ 符號說明 ---------------------------------------------XIV 第一章 緒論-----------------------------------------------1 1-1 研究動機與背景---------------------------------------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 彎管實驗機-------------------------------------------11 2-2 油壓伺服控制設備-------------------------------------13 2-3 電腦控制系統---------------------------------------15 2-4 檢測儀器-------------------------------------------16 2-5 整體效能--------------------------------------------19 2-6 實驗原理------------------------------------------20 第三章 實驗方法-------------------------------------------33 3-1 實驗方式--------------------------------------------33 3-2 實驗材料--------------------------------------------33 3-3 實驗步驟--------------------------------------------37 3-4 實驗數據整理---------------------------------------39 3-5 注意事項------------------------------------------42 第四章 實驗結果與理論分析-----------------------------------44 4-1 力學行為之實驗結果-----------------------------------44 4-1-1 彎矩與曲度關係-------------------------------------45 4-1-2 曲度與橢圓化關係------------------------------------46 4-1-3 曲度與皺曲損壞圈數關係------------------------------47 4-2 理論分析---------------------------------------------48 第五章 結論----------------------------------------------71 參考文獻 --------------------------------------------------73

    參考文獻

    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.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.

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

    8.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.

    9.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.

    10.Pan, W. F., and Lee, K. L., 2002, “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.

    11.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.

    12.Lee, K. L., Pan, W. F. and Hsu, C. M., 2004, “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.

    13.Lee, K. L., Pan, W. F. and Hsu, C. M., 2004, “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.

    14.Chang, K.H., and Pan, W. F., 2009, “Buckling life estimation of circular tubes under cyclic bending,” International Journal of Solids and Structures Vol.46,pp. 254-270.

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

    16.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實驗分析」,國立成功大學工程科學研究所碩士論文。

    17.林家宇,2009,「橢圓凹槽薄壁管在循環彎曲負載下力學行為和皺曲損壞之研究」,國立成功大學工程科學研究所碩士論文。

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