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系統識別號 U0026-0812200915102157
論文名稱(中文) 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
論文名稱(英文) The Mechanical Behavior and Buckling Failure of Ellipse-Notched Thin-Walled Tubes under Cyclic Bending
校院名稱 成功大學
系所名稱(中) 工程科學系碩博士班
系所名稱(英) Department of Engineering Science
學年度 97
學期 2
出版年 98
研究生(中文) 林家宇
研究生(英文) Chia-Yu Lin
學號 N9696420
學位類別 碩士
語文別 中文
論文頁數 60頁
口試委員 口試委員-李國龍
指導教授-潘文峰
口試委員-洪兆宇
口試委員-張高華
中文關鍵字 曲度  橢圓化  皺曲  SUS 304不鏽鋼管 
英文關鍵字 buckling  curvature  ovalization  SUS 304 stainless steel tubes 
學科別分類
中文摘要 本文主要針對五種不同橢圓凹槽深度(寬度固定)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。實驗係透過彎管試驗機與曲度-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,實驗試件皆有循環硬化的現象產生,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,五個不同橢圓凹槽深度的試件可近似為五條幾乎平行的直線。最後,本文參考Shaw 和 Kyriakides【2】及Lee、Pan和Kuo【9】論文中所提出的理論方程式,並導入橢圓凹槽深度後提出一個可以描述不同橢圓凹槽深度SUS 304不鏽鋼管在循環彎曲負載時,控制曲度與循環彎曲至皺曲圈數關係的理論方程式。在與實驗值做比較後發現,理論分析能合理的描述實驗結果。
英文摘要 This thesis investigates the mechanical behavior and buckling failure of SUS 304 stainless steel tubes with five different ellipse-notched depths (fixed notch width) 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. Next, 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. In addition, 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, five almost parallel straight lines can be found for five different ellipse-notched depths. Finally, by referring the theoretical formulations proposed by Shaw and Kyriakides【2】, Lee et al.【9】and by introducing the factor of the ellipse-notched depth, a theoretical formulation was proposed to simulate the relationship between the controlled curvature and the number of cycles to produce buckling. By comparing the theoretical analysis with the experimental data, it is shown that the theoretical formulation can properly simulate the experimental results.
論文目次 摘 要-------------------------------------------- Ⅰ
Abstract-------------------------------------------- Ⅱ
誌  謝-------------------------------------------- Ⅲ
目 錄-------------------------------------------- Ⅳ
表 目 錄-------------------------------------------- Ⅵ
圖 目 錄-------------------------------------------- Ⅶ
符號說明-------------------------------------------- Ⅹ

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---------------------------------------- 8
第二章 實驗設備------------------------------------ 10
2-1 彎管實驗機-------------------------------------- 10
2-2 油壓伺服控制設備-------------------------------- 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---------------------------------------- 20
第三章 實驗方法------------------------------------ 30
3-1 實驗方式---------------------------------------- 30
3-2 實驗材料---------------------------------------- 30
3-3 實驗步驟---------------------------------------- 33
3-4 實驗數據整理------------------------------------ 35
3-5 注意事項---------------------------------------- 38
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---------------------------------------- 43
第五章 結論---------------------------------------- 55
參考文獻-------------------------------------------- 57
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, ” 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. 郭如男,1999,「不同外徑/厚度比薄壁管在循環彎曲負載下皺曲行為之研究」,國立成功大學工程科學研究所碩士論文。

16. 李國龍,2000,「圓管在不同外徑/壁厚比及不同曲度率循環彎曲負載下皺曲行為之研究」,國立成功大學工程科學研究所博士論文。
17. 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。

18. 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。

19. 涂佳銘,2008,「尖銳凹槽薄壁管在循環彎曲負載下橢圓化和循環至皺曲圈數關係之研究」,國立成功大學工程科學研究所碩士論文。
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