Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Asymptotic analysis of the buckling of externally pressurized cylinders with random imperfections

Author: John C. Amazigo
Journal: Quart. Appl. Math. 31 (1974), 429-442
DOI: https://doi.org/10.1090/qam/99693
MathSciNet review: QAM99693
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Abstract | References | Additional Information

Abstract: The buckling of finite circular cylindrical shells with random stress-free initial displacements which are subjected to lateral or hydrostatic pressure is studied using a perturbation scheme developed in an earlier paper [1]. A simple approximate asymptotic expression is obtained for the buckling load for small magnitudes of the imperfection. This result is compared with earlier results obtained for localized imperfections and imperfections in the shape of the linear buckling mode.

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  • [1] J. C. Amazigo, Buckling of stochastically imperfect columns on nonlinear elastic foundations, Quart. Appl. Math. 29 (1971), 403-309
  • [2] J. C. Amazigo, B. Budiansky and G. F. Carrier, Asymptotic analyses of the buckling of imperfect columns on nonlinear elastic foundations, Int. J. Solids Struct. 6 (1970), 1341-1356
  • [3] J. C. Amazigo and W. B. Fraser, Buckling under external pressure of cylindrical shells with dimple-shaped intial imperfections, Int. J. Solids Struct. 7 (1971), 883-900
  • [4] S. B. Batdorf, A simplified method of elastic-stability analysis for thin cylindrical shells, Tech. Rep. Nat. Adv. Comm. Aeronaut., 1947 (1947), no. 874, 25. MR 0032403
  • [5] B. Budiansky and J. C. Amazigo, Initital post-buckling behavior of cylindrical shells under external pressure, J. Math. Phys. 47 (1908), 223-235.
  • [6] B. Budiansky and J. W. Hutchinson, Dynamic buckling of imperfection-sensitive structures, in Proc. XI Internat. Congress of Appl. Mech., ed. H. Gortler, Springer, Munich, 1964
  • [7] W. T. Koiter, On the stability of elastic equilibrium (in Dutch), Thesis, Delft, Amsterdam (1945); English translation issued as NASA TTF-10, 1967, p. 833
  • [8] W. T. Koiter, Elastic stability and post-buckling behavior, Nonlinear Problems (Proc. Sympos., Madison, Wis., 1962) Univ. of Wisconsin Press, Madison, Wis., 1962, pp. 257–275. MR 0148292
  • [9] David Middleton, An introduction to statistical communication theory, International Series in Pure and Applied Physics, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1960. MR 0118561
  • [10] Athanasios Papoulis, Probability, random variables, and stochastic processes, McGraw-Hill Book Co., New York-Toronto-London-Sydney, 1965. MR 0176501

Additional Information

DOI: https://doi.org/10.1090/qam/99693
Article copyright: © Copyright 1974 American Mathematical Society

American Mathematical Society