Discretization Methods in Structural Mechanics pp 235-242 | Cite as
Probabilistic Finite Element Analysis of Unsymmetrical Buckling of Thin Shallow Spherical Shells
Conference paper
Summary
The effect of uncertain initial imperfections of thin shallow spherical shells under external pressure on the buckling is investigated by Monte Carlo simulation. The buckling pressure is estimated by means of nonlinear eigenvalue analysis of the shells discretized by triangular finite elements. The imperfect middle surface of the shells is represented as a two-dimensional spatial stochastic process discretized according to the finite element division. The simulation results show the effect of the input correlation function on the mean and coefficient of variation of the buckling pressure.
Keywords
Probabilistic Variable Middle Plane Initial Imperfection Nonlinear Eigenvalue Problem Nonlinear Finite Element Analysis
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References
- 1.Yamamoto, Y. and Kokubo, K.: Effects of Geometrical Imperfections and Boundaries on the Buckling Strength of a Spherical Shell. Computers and Structures. 19 (1984) 285–290.CrossRefGoogle Scholar
- 2.Boltotin, V.V.: Statistical methods in the nonlinear theory of elastic shells. NASA TT F-85 (1962).Google Scholar
- 3.Zienkiewicz, O.C.: The finite element method. 3rd ed. London: McGraw-Hill Book Co. 1977.MATHGoogle Scholar
- 4.Shinozuka, M.: Random Eigenvalue problems in structural analysis. AIAA Journal, 10 (1972) 456–462.MATHCrossRefGoogle Scholar
- 5.Belytschko, T and Hsieh, B. J.: Non-linear transient finite element analysis with convectedco-ordinates.Int. J. Num. Meth. in Engrg. 7 (1973) 255–271.MATHCrossRefGoogle Scholar
- 6.Kondoh, K. and Atluri, S.N.: A simplified finite element method for large deformation, post-buckling analyses of large frame structures, using explicitly derived tangent stiffness matrices. Int. J. Num. Meth. in Engrg. 23 (1986) 69–90.MathSciNetMATHCrossRefGoogle Scholar
- 7.Huang, N.C.: Unsymmetrical buckling of thin shallow spherical shells. Trans. ASME. Ser. E, 31 (1964) 447–457.CrossRefGoogle Scholar
- 8.Endou, A., Hangai, Y. and Kawamata, S.: Post-buckling analysis of elastic shells of revolution by the finite element method. Report of the Institute of Industrial Science, the University of Tokyo, 26 (1976) 48–81.Google Scholar
- 9..Elishakoff, I.: Probabilistic methods in the theory of structures. New York: John Wiley & Sons (1983).MATHGoogle Scholar
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© Springer-Verlag Berlin Heidelberg 1990