TECHNICAL PAPERS
Aug 15, 2003

Imperfection Sensitivity of Laminated Cylindrical Shells According to Different Shell Theories

Publication: Journal of Engineering Mechanics
Volume 129, Issue 9

Abstract

The imperfection sensitivity of laminated cylindrical shells is considered—via the initial postbuckling analysis—on the basis of three different shell theories: Donnell in 1933; Sanders in 1963; and Timoshenko in 1961. The procedure involves nonlinear partial differential equations, which are converted into a sequence of three linear sets. The equations are solved with the variables expanded in Fourier series in the circumferential direction and in finite differences in the axial directions. A general code is developed and used in studying the effect of higher exactness of the shell theory on the sensitivity behavior, and in a parametric study of the sensitivity of anisotropic angle-ply cylindrical shells.

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References

Arbocz, J., and Hol, J. M. A. M. (1989). “ANILISA—computational module for Koiter imperfection sensitivity theory.” Rep. LR-582, Faculty of Aerospace Engineering, Delft Univ. of Technology, Delft, The Netherlands.
Arbocz, J., and Hol, J. M. A. M.(1990). “Koiter’s stability theory in a computer aided engineering (CAE) environment.” Int. J. Solids Struct., 26(9/10), 945–973.
Budiansky, B. (1965). “Dynamic buckling of elastic structures: criteria and estimates.” Proc., Int. Conf. Dynamic Stability of Structures, Pergamon Press, Oxford, 83–106.
Budiansky, B. (1969). “Post-buckling behavior of cylinders in torsion.” International Union of Theoretical Applied Mechanics Symposium on the Theory of Thin Shells, Copenhagen, F. I. Niordson, ed., Springer-Verlag, New York.
Budiansky, B.(1974). “Theory of buckling and post-buckling behavior of elastic structures.” Adv. Appl. Mech., 14, 1–65.
Budiansky, B., and Hutchinson, J. W. (1964). “Dynamic buckling of imperfection sensitive structures.” Proc., 11th IUTAM Congress, 636–651, Springer-Verlag, Berlin.
Cohen, G. A.(1968). “Effect of non-linear prebuckling state on the post-buckling behavior and imperfection sensitivity of elastic structures.” AIAA J., 6(8), 1616–1619.
Donnell, L. A. (1933). “Stability of thin-walled tubes under torsion.” NACA TR-479, National Advisory Committee for Aeronautics, Washington, D.C.
Firer, M., and Sheinman, I.(1995). “Nonlinear analysis of laminated non-circular cylindrical shells.” Int. J. Solids Struct., 32(10), 1405–1416.
Fitch, J. R.(1968). “The buckling and post-buckling behavior of spherical caps under concentrated load.” Int. J. Solids Struct., 4, 421–446.
Fitch, J. R., and Budiansky, B.(1970). “Buckling and post-buckling behavior of spherical caps under axisymmetric load.” AIAA J., 8(4), 686–693.
Hutchinson, J. W., and Amazigo, C.(1967). “Imperfection sensitivity of eccentrically stiffened cylindrical shells.” AIAA J., 5(3), 392–401.
Hutchinson, J. W., and Frauenthal, J. C.(1969). “Elastic post-buckling behavior of stiffened and barreled cylindrical shells.” J. Appl. Mech., 36, 784–790.
Hutchinson, J. W., and Koiter, W. T.(1970). “Post-buckling theory.” Appl. Mech. Rev., 23(12), 1353–1363.
Koiter, W. T. (1945). “On the stability of elastic equilibrium.” PhD thesis (in Dutch), TH-Delft, The Netherlands H.T. Paris Amsterdam (English translation published as NASA TTF, 1967).
Sanders, J. L., Jr. (1963). “Nonlinear theories of thin shells.” Q. Appl. Math., 21, 21–36.
Sheinman, I., and Goldfeld, Y.(2001). “Buckling of laminated cylindrical shells in terms of different shell theories and formulations.” AIAA J., 39(9), 1773–1781.
Sheinman, I., and Simitses, G. J.(1983). “Bucking and post-buckling of imperfect cylindrical shells under axial compression.” Comput. Struct., 17(2), 277–285.
Simitses, G. J.(1986). “Buckling and postbuckling of imperfect cylindrical shells: A review.” Appl. Mech. Rev., 39(10), 1517–1524.
Simitses, G. J., Shaw, D., and Sheinman, I.(1985a). “Stability of cylindrical shells by various nonlinear shell theories.” Z. Angew. Math. Mech., 65, 159–166.
Simitses, G. J., Sheinman, I., and Shaw, D.(1985b). “The accuracy of Donnell’s equations for axially-loaded imperfect orthotropic cylinders.” Comput. Struct., 20(6), 939–945.
Simitses, G. J., Shaw, D., and Sheinman, I.(1985c). “Imperfection sensitivity of laminated cylindrical shells in torsion and axial compression.” Compos. Struct., 4(4), 335–360.
Timoshenko, S. (1961). Theory of elastic stability, McGraw-Hill, New York.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 129Issue 9September 2003
Pages: 1048 - 1053

History

Received: Jun 11, 2002
Accepted: Feb 6, 2003
Published online: Aug 15, 2003
Published in print: Sep 2003

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Authors

Affiliations

Izhak Sheinman
Professor, Faculty of Civil Engineering, Technion-Israel Institute of Technology, Haifa 3200, Israel.
Yiska Goldfeld
Research Scientist, Faculty of Civil Engineering, Technion-Israel Institute of Technology, Haifa 3200, Israel.

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