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標題: Buckling Stress of Thin Cylindrical Shells Under Axial Compression by Finite Element Method
作者: 鍾蔿
Chung, Wei
關鍵字: finite element;有限元素;buckling;thin cylindrical shell;挫屈;薄殼圓柱
出版社: 土木工程學系所
引用: [1] von KaÂrma 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 KaÂrma 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] 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. [5] 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. [6] Calladine, C.R, 1983. Theoryof shell structures. Cambridge: Cambridge UniversityPress. [7] Arbocz, J., Hol, J.M.A.M., 1991. Collapse of axially compressed cylindrical shells with random imperfections. AIAA Journal 29,2247~2256. [8] Mandal, P., 1997. Buckling of thin cylindrical shells under axial compression. Ph.D. thesis, University of Cambridge, Department of Engineering. [9] Lancaster, E.R., Calladine, C.R., Palmer, S.C., 1998. Experimental observations on the buckling of a thin cylindrical shell subjected to axial compression. International Journal of Mechanical Sciences, in press. [10] Mandal, P., Calladine, C.R., 2000. Buckling of thin cylindrical shells under axial compression. International Journal of Solids and Structures;37:4509–25. [11] Mandal, P., Calladine, C.R.,祝恩淳, 2001.軸壓圓柱薄殼的挫屈分析. China Civil Engineering Journal,Vol 34 , No 3, 1000-131X 03-0018-05. [12] Cook, R., D., Malkus, D., S., Plesha, M., E., 1989. Concepts and applications of finite element (3nd Edn). John wiley&sons, New York. [13] Timoshenko, S.P., Gere, J.M., 1961. Theory of elastic stability (2nd Edn). McGraw-Hill, New York. [14] Reismann, H.,Pawlik, P., S., 1980. Elasticity Theory and Applications. John wiley&sons. New York. [15] Axelrad, E., L., 1987.Theory of Flexible Shells. Noryh-Holland-Amsterdam. New York. Oxford. Tokyo. [16] 謝元裕,1982,”結構穩定學”,文笙書局。
The main purpose of this paper is to explore the buckling deformation patterns and the buckling stress of the thin cylindrical shell subject to axial force. Using three-dimensional elastic stability variational principle derived three-dimensional finite element model of elastic stability analysis. The analysis results of buckling deformation and stress is considered four different boundary conditions, differ length L, radius R and the thickness t of cylindrical shell. The regression formula of buckling stress is established by considering multiple parameter of analysis results.The finite element analysis results in present paper compare with the classical theory value and can be found previous studies with differences and discrete between experimental data and classical theory value, Classical theory could be errors or using constraints. In the previous experiment, the boundary constraints of thin cylindrical shells more difficult, therefore to create large discreteness of comparsion results between practical and theoretical.

其他識別: U0005-2008201016200100
Appears in Collections:土木工程學系所

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