簡易檢索 / 詳目顯示

研究生: 孟慶勳
Meng, Ching-Hsun
論文名稱: 有限元素分析局部凹痕圓管在循環負載下之行為
Finite Element Analysis on the Response of Local-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: 2015
畢業學年度: 103
語文別: 中文
論文頁數: 81
中文關鍵詞: 有限元素分析橢圓化曲度彎矩局部凹痕循環彎曲
外文關鍵詞: Finite Element ANSYS Analysis, Local-dented Circular Tubes, Cyclic Bending, Moment, Curvature, Ovalization
相關次數: 點閱:168下載:3
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報
  • 本文使用有限元素ANSYS Workbench 15.0軟體分析不同深度凹痕6061-T6鋁合金管承受對稱曲度控制循環彎曲負載下之力學行為。其中所考慮的凹痕深度有: 0、0.3、0.6、0.9及1.2 mm,而分析的力學行為包括有:彎矩-曲度及橢圓化-曲度關係。由ANSYS分析彎矩-曲度關係的結果顯示,凹痕圓管在正向負載時所達到的最大彎矩值與無凹痕圓管差異不大,而反向負載時,由於凹痕兩側因彎曲後接觸變形,所以達到的最大彎矩值與無凹痕圓管出現明顯差異。但不論有無凹痕圓管的彎矩-曲度關係,在經過一些循環圈數後皆呈現一穩定的關係。至於橢圓化-曲度關係皆顯示棘齒狀增加的趨勢,無凹痕圓管顯示對稱的形狀,而有凹痕圓管則顯示不對稱的形狀。且凹痕深度越深時,不對稱的情況就越嚴重,橢圓化增加的也越快。最後,ANSYS分析也和吳政昌[35]所做的實驗結果比較,雖然數值上有一些差異,但趨勢上都非常相似。

    In this study, the finite element software ANSYS Workbench 15.0 was used to analyze the response of local-dented 6060-T6 aluminum alloy circular tubes under cyclic bending. The dent depths considered were 0.0, 0.3, 0.6, 0.9 and 1.2 mm. The mechanical response included: the moment-curvature and ovalization- curvature relationships. From the ANSYS analysis moment-curvature relationship, the maximum bending moment was almost the same for circular tubes with or without a dent in positive loading. However, due to the contact between two sides of the dent, large differences were found in reverse loading. But the steady moment-curvature relationship was found after a few bending cycles for circular tubes with or without a dent. As for the ovalization-curvature relationship, it exhibited ratcheting and increasing trend. The symmetrical shape was seen for tubes without a dent and unsymmetrical shape was found for tubes with a dent. A higher dent depth leads to sever unsymmetrical condition and faster increasing of ovalization. Finally, the ANSYS analysis was compared with the experimental data tested by Wu [35]. Although some differences between the ANSYS analysis and experimental finding were found, the trend of curves were similar.

    摘要 ................................................... i SUMMARY ............................................... ii 誌謝 .................................................. ix 目錄 ................................................... x 表目錄 ................................................ xii 圖目錄 ............................................... xiii 符號說明 .............................................. xvi 第一章 緒論 ............................................. 1 1-1 研究背景及動機 ....................................... 1 1-2 文獻回顧 ............................................ 2 1-3 論文內容 ........................................... 17 第二章 理論基礎 ......................................... 18 2-1 有限元素法 ......................................... 18 2-2 塑性理論介紹 ....................................... 20 2-2-1 雙線段動態硬化法則(Bilinear kinematic hardening)... 23 2-2-2 多線段動態硬化法則(Multilinear kinematic hardening).24 2-3 ANSYS有限元素分析軟體介紹............................ 27 2-4 ANSYS Workbench操作介面介紹......................... 31 第三章 ANSYS Workbench分析.............................. 38 3-1 材料參數設定 ....................................... 38 3-2 有限元素模型之建立................................... 39 3-2-1. 幾何模型 ........................................ 40 3-2-2. 網格分割 ........................................ 41 3-2-3. 元素說明......................................... 42 3-3 邊界條件與負載設定................................... 43 3-3-1. 圓管產生凹痕...................................... 43 3-3-2. 圓管承受循環彎曲 ................................. 49 3-4 求解過程 ........................................... 54 第四章 ANSYS分析結果 .................................. 56 4-1. 加壓深度與凹痕關係 .............................. 56 4-2. 彎矩與曲度關係 ................................. 59 4-3. 橢圓化與曲度關係 ............................... 68 第五章 結論 ...................................... 74 參考文獻 ...................................... 76

    1.  S. Kyriakides and P. K. Shaw, “Response and Stability of Elastoplastic Circular Pipe under Combined Bending and External Pressure,"Int. J. Solids Struct., Vol.18, No.11, pp.957-973, 1982

    2.  P. K. Shaw and S. Kyriakides, “Inelastic Analysis of Thin-Walled Tubes under Cyclic Bending,"Int. J. Solids Struct., Vol.21, No.11, pp.1073-1100, 1985

    3.  Kyriakids, S, and Shaw, P.K,“Inelastic Buckling of Tubes under Cyclic Loads,”ASME Journal of Pressure Vessel Technology, Vol,109, pp169-178,1987

    4.  E. Cornoa and S. Kyriakides, “On the Collapse of Inelastic Tubes under Combined Bending and Pressure,"Int. J. Solids Struct., Vol.24,No.5, pp.505-535, 1988

    5.  E. E. Cornoa and S. Kyriakides, “An Expermental Investigation of the Degradation and Buckling of Circular Tubes under Cyclic Bending and external Pressure,"Thin-Walled Structures, Vol.12, pp.229-263, 1991

    6.  S. Kyriakides and G. T. Ju, “Bifurcation And Localization Instabilities In Cylindrical Shells Under Bending-I. Experiment,"Int. J. Solids Struct, Vol.29, No.9, pp.1117-1142, 1992

    7.  M. Elchalakani, X. L. Zhao, M. ASCE and R. Grzebieta, “Cyclic Bending Tests to Determine Fully Ductile Section Slenderness Limits for Cold-Formed Circular Hollow Sections,"J. Struct. Eng, Vol.130, Issue 7, pp.1001-1011, 2004

    8.  M. Elchalakani and X. L. Zhao, “Concrete-filled cold-formed circular steel tubes subjected to variable amplitude cyclic pure bending,"Engineering Structures, Vol.30, Issue 2, pp.287-299, 2008

    9.  W. F. Pan and Y. S. Her, “Viscoplastic Collapse of Thin- Walled Tubes under Cyclic Bending,"ASME, J. of Engineering Materials and Tech., Vol.120, pp.287-290, 1988

    10. 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).

    11. W. F. Pan and Y. S. Her, “Viscoplastic collapse of thin-walled tubes under cyclic bending”, Journal Engineering Materials and Technology, Vol. 120, No. 4, pp. 287-290 (1998).

    12. W. F. Pan and C. 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 International Journal, Series A, Vol. 41, No. 4, pp. 525-531 (1998).

    13. 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).

    14. 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).

    15. K. L. Lee and W. F. Pan, “Pure bending creep of SUS304 stainless steel tubes”, Steel and Composite Structures, Vol. 2, No. 6, pp. 461-474 (2002).

    16. 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)。

    17. 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).

    18. 徐日豐、徐建民和潘文峰,"圓管在循環彎曲負載下力學行為之理論研究",技術學刊,第二十卷,第三期,305-313頁(2005)。

    19. 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).

    20. K. L. Lee, C. M. Hsu, W. F. Pan, “Endochronic Simulation for the response of 1020 carbon steel tubes under symmetric and unsymmetric cyclic bending with or without external pressure”,Steel and Composite Structures, Vol. 8, No. 2, pp. 99-114 (2008).

    21. 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)。

    22. K. H. Chang, W. F. Pan and K. L., “Mean moment effect on circular thin-walled tubes under cyclic bending”,Structural Engineering and Mechanics, Vol. 28, No. 5, pp. 495-514 (2008).

    23. 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).

    24. 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 of each cross-section of circular tube under cyclic bending”,Journal of Chinese Institute Engineers, Vol. 33, No. 2, pp. 177-189 (2010).

    25. K. L. Lee, C. Y. Hung and W. F. Pan, “Variation of ovalization for sharp-notched circular tubes under cyclic bending”, Journal of Mechanics, Vol. 26, No. 3, pp. 403- 411 (2010).

    26. K. L. Lee, C. Y. Hung and W. F. Pan, “CCD digital camera system for measuring curvature and ovalization of each cross-section of circular tube under cyclic bending”,Journal of Chinese Institute Engineers, Vol. 34, No. 1, pp. 75-86 (2011).

    27. 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).

    28. 李國龍、洪兆宇和潘文峰,"循環彎曲負載下橢圓形凹槽圓管皺曲損壞之實驗分析",中正嶺學報,第四十一卷,第二期,183-190頁(2012)。

    29. K. 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).

    30. K. L. Lee, C. M. Hsu and W. F. Pan, “Viscoplastic collapse of sharp-notched circular tubes under cyclic bending”, Acta Mechanics Solida Sinica, Vol. 26, No. 6, pp. 629- 641 (2013).

    31. K. L. Lee, C. M. Hsu and W. F. Pan, “Response of sharp-notched circular tubes under bending creep and relaxation”,Mechanical EngineeringJournal, Vol. 1, No. 2, pp. 1-14 (2014).

    32. K. L. Lee, Y. T. Chan and W. F. Pan, “Finite element ANSYS analysis of the behavior for 6061-T6 aluminum tubes under cyclic bending with external pressure”,Journal of Civil Engineering and Architecture, Vol. 8, No. 6, pp. 673-679 (2014).

    33. 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).

    34. 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).

    35. 吳政昌 “凹痕圓管在循環彎曲負載下行為之實驗研究” 國立成功大學工程科學研究所碩士論文,(2015)

    下載圖示 校內:立即公開
    校外:立即公開
    QR CODE