Finite-Element Analysis of Cylindrical Panels with Random Initial Imperfections
Publication: Journal of Engineering Mechanics
Volume 130, Issue 8
Abstract
Stochastic finite-element analysis of shells is performed using the spectral representation method for the description of the random fields in conjunction with the local average method for the formulation of the stochastic stiffness matrix of the elements. A stochastic formulation of the nonlinear triangular composites facet triangular shell element is implemented for the stability analysis of cylindrical panels with random initial imperfections. The imperfections are described as a two-dimensional univariate homogeneous stochastic field. The elastic modulus and the shell thickness are also described as two-dimensional uni-variate homogeneous stochastic fields. The variability of the limit load of the cylindrical panel is then computed using the Monte Carlo simulation. Useful conclusions for the buckling behavior of cylindrical panels with random initial imperfections are derived from the numerical tests presented in this paper. These tests also demonstrate the applicability of the proposed methodology in realistic problems.
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References
Albertin, U., and Wunderlich, W. (2000). “Buckling design of imperfect spherical shells.” Proc., 4th Int. Colloquium on Computation of Shell and Spatial Structures, M. Papadrakakis, A. Samartin, and E. Onate, eds., IASS-IACM 2000, Chania—Crete, Greece.
Argyris, J. H., Papadrakakis, M., Apostolopoulou, C., and Koutsourelakis, S.(2000). “The TRIC shell element: Theoretical and numerical inverstigation.” Comput. Methods Appl. Mech. Eng., 182, 217–245.
Argyris, J. H., Papadrakakis, M., and Stefanou, G.(2002). “Stochastic finite element analysis of shells.” Comput. Methods Appl. Mech. Eng., 191, 4781–4804.
Argyris, J. H., Tenek, L., and Olofsson, L.(1997). “TRIC, a simple but sophisticated 3node triangular element based on 6 rigid-body and 12 straining modes for fast computational simulations of arbitrary isotropic and laminated composite shells.” Comput. Methods Appl. Mech. Eng., 145, 11–85.
Argyris, J. H., Tenek, L., Papadrakakis, M., and Apostolopoulou, C.(1998). “Postbuckling performance of the TRIC natural mode triangular element for isotropic and laminated composite shells.” Comput. Methods Appl. Mech. Eng., 166, 211–231.
Chryssanthopoulos, M. K., and Poggi, C.(1995). “Probabilistic imperfection sensitivity analysis of axially compressed composite cylinders.” Eng. Struct., 17, 398–406.
Deml, M., and Wunderlich, W.(1997). “Direct evaluation of the ‘worst’ imperfection shape in shell buckling.” Comput. Methods Appl. Mech. Eng., 149, 201–222.
Elishakoff, I., Li, Y. W., and Starnes, J. H., Jr. (1996). “Imperfection sensitivity due to the elastic moduli in the Rooda-Koiter frame.” Chaos, Solitons Fractals, 7, 1179–1186.
Hinton, E., and Owen, D. R. J. (1984). Finite element software for plates and shells, Pineridge, Swansea, U.K., 1984.
Koiter, W. T., Elishakoff, I., Li, Y. W., and Starnes, J. H., Jr. (1994). “Buckling analysis of an axially compressed cylindrical shell under axial compression.” Int. J. Solids Struct., 31, 795–805.
Li, C.-C., and Der Kiureghian, A. (1992). “An optimal discretization of random fields.” Technical Rep. UCB/SEMM-92/04, Department of Civil Engineering, University of Berkeley, Calif.
Li, Y. W., Elishakoff, I., Starnes, J. H., Jr., and Bushnell, D.(1997). “Effect of the thickness variation and initial imperfection on buckling of composite shells: Asymptotic analysis and numerical results by BOSOR4 and PANDA2.” Int. J. Solids Struct., 34, 3755–3767.
Popescu, R., Deodatis, G., and Prevost, J. H.(1998). “Simulation of homogeneous nonGaussian stochastic vector fields.” Probab. Eng. Mech., 13, 1–13.
Schenk, C. A., Schueller, G. I., and Arbocz, J. (2000). “On the analysis of cylindrical shells with random imperfections.” Proc., 4th Int. Colloquium on Computation of Shell and Spatial Structures, M. Papadrakakis, A. Samartin, and E. Onate, eds., IASS-IACM 2000, Chania—Crete, Greece.
Shinozuka, M., and Deodatis, G.(1996). “Simulation of multi-dimensional Gaussian stochastic fields by spectral representation.” Appl. Mech. Rev., 49, 29–53.
Vanmarcke, E. (1983). Random fields: Analysis and synthesis, MIT, Cambridge, Mass.
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Copyright © 2004 American Society of Civil Engineers.
History
Received: Feb 20, 2002
Accepted: Jun 2, 2003
Published online: Jul 15, 2004
Published in print: Aug 2004
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