Asymptotic analysis of the buckling of externally pressurized cylinders with random imperfections-Reference-Cited by-同舟云学术

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

Published:1974 Issue:4 Volume:31 Page:429-442
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Amazigo John C.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1974-31-04/S0033-569X-1974-99693-9/S0033-569X-1974-99693-9.pdf

Reference11 articles.

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. A simplified method of elastic-stability analysis for thin cylindrical shells;Batdorf, S. B.;Tech. Rep. Nat. Adv. Comm. Aeronaut.,1947

5. B. Budiansky and J. C. Amazigo, Initital post-buckling behavior of cylindrical shells under external pressure, J. Math. Phys. 47 (1908), 223–235.

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