Collapse Analysis of Ring-Stiffened Cylinders Using Ring Elements
Publication: Journal of Engineering Mechanics
Volume 123, Issue 4
Abstract
Asymptotic and fully nonlinear analyses are used to find the maximum load carrying capacity of ring-stiffened cylinders subjected to hydrostatic pressure. Both procedures use ring elements with harmonic description of displacements in the circumferential direction, and p-version shape functions in the other direction (longitudinal for shell and radial for stiffener). In the asymptotic procedure, the harmonics are uncoupled in the solution process, whereas they are coupled in the fully nonlinear analysis. In the latter analysis, a special iterative scheme that uncouples the harmonics in the solution of the iterative/incremental linear equations is employed. In general, the discrepancies between the two procedures increase with the level of imperfections and the thinness of the shell. The prebuckling nonlinearities that are not accounted for in the asymptotic procedure are identified as the major source of discrepancy. Sensitivity to imperfections in the shape of buckling modes given by the linear and nonlinear bifurcation analysis is also studied for comparison.
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References
1.
Arbocz, J. (1992). “The effect of initial imperfections on shell stability—an updated review.”Rep. LR-695, Fac. of Aerosp. Engrg., Delft Univ. of Technol., Delft, The Netherlands.
2.
Arbocz, J., and Hol, J. M. A. M. (1994). “On the reliability of buckling load predictions.”Proc., 35th AIAA/ASME/ASCE/AHS/ASC Struct., Struct. Dyn. and Mat. Conf., Am. Inst. of Aeronautics and Astronautics, New York, N.Y., 514–521.
3.
Brush, D. O., and Almroth, B. O. (1975). Buckling of bars, plates and shells. McGraw-Hill Book Co., Inc., New York, N.Y.
4.
Budiansky, B. (1966). “Dynamic buckling of elastic structures—criteria and estimates.”Dynamic stability of structures, G. Herrmann, ed., Pergamon Press, Inc., Oxford, England, 83–106.
5.
Bushnell, D. (1985). Computerized buckling analysis of shells. Kluwer Academic Publishers Group, Boston, Mass.
6.
Crisfield, M. A.(1981). “A fast incremental/iterative solution procedure that handles snap-through.”Comp. and Structures, 13, 55–62.
7.
Harding, J. E., et al. (eds.). (1982). Buckling of shells in offshore structures. Gulf Publishing Co., Book Div., Houston, Tex.
8.
Jones, R. M. (1975). Mechanics of composite materials. Hemisphere Publishing Corp., New York, N.Y.
9.
Kasagi, A., and Sridharan, S. (1995a). “Imperfection-sensitivity of layered composite cylinders.”J. Engrg. Mech., ASCE, 121(7), 810– 818.
10.
Kasagi, A., and Sridharan, S.(1995b). “Modal interaction in composite cylinders under hydrostatic pressure.”International J. Solids and Struct., 32(10), 1349–1369.
11.
Koiter, W. T. (1945). “On the stability of equilibrium,” dissert., Delft Univ. of Technol., Delft, The Netherlands (English translation, 1967).
12.
Ley, R. P., Johnson, E. R., and Gürdal, Z.(1994). “Buckling of imperfect anisotropic, ring-stiffened cylinders under combined loads.”AIAA J., 32(6), 1302–1309.
13.
Moradi, B., and Parsons, I. O. (1991). “A comparison of the modeling techniques for the buckling of stiffened shells.”ASCE Engrg. Mech. Conf., ASCE, 856–860.
14.
Ramm, E. (ed.). (1982). “Buckling of shells.”Proc., State-of-the-Art Colloquium, Springer-Verlag, Berlin, Germany.
15.
Ravichandran, R. V., Sridharan, S., and Gould, P. L. (1994). “Local-global model for the nonlinear analysis of locally defective shells of revolution.”Int. J. for Numer. Methods in Engrg., 37(18), 3037– 3074.
16.
Sridharan, S., and Alberts, J.(1997). “Some aspects of numerical modeling of buckling of ring-stiffened cylinders.”AIAA J., 35(1), 187–195.
17.
Sridharan, S., Zeggane, M., and Starnes, J. H. Jr.(1992). “Postbuckling response of stiffened composite cylindrical shells.”AIAA J., 30(12), 2897–2905.
18.
Thompson, J. M. T., and Hunt, G. W. (eds.). (1983). “Collapse: The buckling of structures in theory and practice.”Proc., IUTAM Symp., Cambridge University Press, London, England.
19.
Wunderliche, W., Cramer, H., and Obrecht, H. (1985). “Application of ring-elements in the nonlinear analysis of shells of revolution under nonaxisymmetric loading.”Computer methods in applied mechanics and engineering, volume 51, 259–275.
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Published In
Journal of Engineering Mechanics
Volume 123 • Issue 4 • April 1997
Pages: 367 - 375
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Apr 1, 1997
Published in print: Apr 1997
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