The discontinuity in the sensitivity of laminated cylindrical shells is investigated via the initial post-buckling analysis. A general procedure for sensitivity, based on Koiter’s parameters and using the Donnell and Sanders shell theories, is developed and used for parametric study of the discontinuity phenomenon. It was found that the discontinuity occurs at points of change of the circumferential wave number.
Issue Section:
Brief Notes
1.
Koiter, W. T., 1945, thesis, Delft, Amsterdam, H. J. Paris; Technical Report AFFDL-TR-70-25, Air Force Flight Dynamics Laboratory, Air Force Systems Command, Wright-Patterson Air Force Base, OH, Feb. 1970 (translated edition).
2.
Arbocz, J., and Hol, J. M. A. M., 1989, “ANILISA—Computational Modules for Koiter’s Imperfection Sensitivity Theory,” Report LR-582, Faculty of Aerospace Engineering, Delft University of Technology.
3.
Arbocz
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, and Hol
, J. M. A. M.
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.4.
Donnell, L. H., 1933, “Stability of Thin-Walled Tubes Under Torsion,” NACA TR-479.
5.
Sanders
, J. L.
, 1963
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,” Quar. J. Appl. Math.
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), pp. 21
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.6.
Sheinman
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, and Goldfeld
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, 2001
, “Buckling of Laminated Cylindrical Shells in Terms of Different Shell Theories and Formulations
,” AIAA J.
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), pp. 1773
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.7.
Simitses, G. J., 1986, An Introduction to the Elastic Stability of Structures, Robert E. Krieger, Malabar, FL.
8.
Sheinman
, I.
, and Tene
, Y.
, 1973
, “Potential Energy of a Normal Pressure Field Acting on an Arbitrary Shell
,” AIAA J.
, 11
(8
), p. 1216
1216
.9.
Budiansky, B., and Hutchinson, J. W., 1964, “Dynamic Buckling of Imperfection Sensitive Structures,” Proceedings XI International Congress on Applied Mechanics, Munich, pp. 83–106.
10.
Hutchinson
, J. W.
, and Budiansky
, B.
, 1966
, “Dynamic Buckling Estimates
,” AIAA J.
, 4
(3
), pp. 525
–530
.11.
Budiansky
, B.
, and Amazigo
, J. C.
, 1968
, “Initial Post-buckling of Cylindrical Shells Under Hydrostatic Pressure
,” J. Math. Phys.
, 47
, pp. 223
–235
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