Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/16404
標題: 軸壓作用下之方形薄殼柱挫屈應力有限元素法分析
Buckling Stress of Thin Square Column Under Axial Compression by Finite Element Method
作者: 陳彥邦
Chen, Yan-Bang
關鍵字: Axial Compression;軸壓;Thin Square Column;Finite Element Method;方形薄殼柱;有限元素法
出版社: 土木工程學系所
引用: [1] von KaArmaA n, T., Dunn, L.G., Tsien, H., 1940. The in¯uence of curvature on the buckling characteristics of structures. Journal of the Aeronautical Sciences 7, 276~289. [2] von KaArmaA n, T., Tsien, H., 1941. The buckling of thin cylindrical shells under axial compression. Journal of the Aeronautical Sciences 8, 303~312. [3] Koiter , W.T., 1945. On the stability of elastic equilibrium (in Dutch with English summary). Ph.D. thesis, Delft, H J Paris. [4] Tennyson , RC. The effect of unreinforced circular cutouts on the buckling of circular cylindrical shellsunder axial compression. Journal of Engineering for Industry 1968;November:541–6. [5] Arbocz , J., Babcock, C.D., 1969. The effect of general imperfections on the buckling of cylindrical shells. Journal of Applied Mechanics, Trans. ASME 36, 28~38. [6] Almroth , BO, Holmes , AM. Buckling of shells with cutouts. Experimental and analysis. Journal of Solids Structures 1972;8:1057–566. [7] Arbocz , J., 1974. The effect of initial imperfections on shell stability. In: Fung, Y.C., Sechler, E.E. (Eds.), Thin Shell Structures.Prentice-Hall, Englewood Cliffs, N.J, pp. 205~245. [8] Starnes, JH. The effects of cutouts on the buckling of thin shells. In: Fung YC , Sechler EE, editors.Thin shell structures. Englewood Cliffs, New York: Prentice Hall, Inc., 1974:289–304. [9] Toda S. Buckling of cylinders with cutouts under axial compression. Journal of Experimental Mechanics 1983;3:414–7. [10] Calladine , C.R, 1983. Theoryof shell structures. Cambridge: Cambridge UniversityPress. [11] Kno‥del P, Schulz U. Stabilite’ de chemine’es d’acier a` ouvertures dans les tuyaux. Stahlbau (Der) 1988;57(1):13–21. [12] Arbocz, J., Hol, J.M.A.M., 1991. Collapse of axially compressed cylindrical shells with random imperfections. AIAA Journal 29,2247~2256. [13] Samuelson,AL, Eggwertz S. Shell stability handbook. London: Elsevier Applied Science, 1992:278pp. [14] Jullien , J.F, Limam A.Effects of openings of the buckling of cylindrical shells subjected to axial compression,Thin-Walled Structures 31 (1998) 187–202。 [15] Mandal, P., Calladine, C.R., 2000. Buckling of thin cylindrical shells under axial compression. International Journal of Solids and Structures;37:4509–25. [16] Alexander Chajes,1982,Principles of structural stability theory,” 結構穩定學”,文笙書局。 [17] Marian Krolak,Katarzyna Kowal-Michalska,Radoslaw J.Mania and Jacek Świniarski , Stability And Load Carrying Capacity of Multi-Cell Thin-Walled Columns of Rectangular Cross-Sections, 2009,Journal of Theoretical and Applied Mechanics,47,2, pp.435-456,Warsaw [18] 鍾 蒍,2010,”軸壓作用下薄殼圓柱挫屈應力之有限元素法分 析”,碩士論文,國立中興大學土木工程研究所。
摘要: 
本論文主要目的在探討方形薄殼柱受軸力作用之挫屈變形形態及挫屈應力,利用三維彈性穩定變分式推導彈性穩定三維有限元素分析模式,在其兩端固定邊界條件下之多組不同長度、方形邊長及厚度臨界荷重之變化,並歸納出完整挫屈變形形態及計算挫屈應力迴歸公式。由本文所建立的有限元素分析結果經由與薄殼圓柱以及板挫屈理論比較後,可發現三者之挫屈應力為厚度與寬度(半徑)比之次方成比例,並由變形比對方形薄殼柱軸向波浪變形挫屈變形與板之挫屈變形較相近,因此其寬度厚度比之次方值也較為接近。

The main purpose of this paper is to explore the buckling deformation patterns and the buckling stress of the thin square column subject toaxial force. Using three-dimentional elastic stability variational principle derived three-dimentional finite element model of elastic stability analysis. The analysis results of buckling deformation and stress is considered column fixed at both ends boundary conditions, differ length L, two sides of rectangle H and the thickness t of the thin square column. The regression formula of buckling stress is established by considering multiple parameter of analysis results. Established by finite element method analysis results through comparison with the thin cylindrical shells and plate buckling theory can be found in three of the buckling stress than the power is proportional to the thickness and width (radius), and the deformation thin square column axial wave deformation buckling and plate buckling deformation is similar, followed by side the value closer.
URI: http://hdl.handle.net/11455/16404
其他識別: U0005-0607201216363100
Appears in Collections:土木工程學系所

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