Buckling under axial compression of long cylindrical shells with random axisymmetric imperfections
Author:
John C. Amazigo
Journal:
Quart. Appl. Math. 26 (1969), 537-566
DOI:
https://doi.org/10.1090/qam/99838
MathSciNet review:
QAM99838
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Abstract |
References |
Additional Information
Abstract: The buckling of long cylinders with homogeneous random axisymmetric geometric imperfections under uniform axial compression is studied by means of a modified truncated hierarchy technique. It is found that the buckling load of the cylinder depends only on the spectral density of the random imperfections. In particular, for small values of the standard deviation of the axisymmetric imperfection the buckling load depends only on the value of the spectral density at a specific wave number.
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W. T. Koiter, The effect of axisymmetric imperfections on the buckling of cylindrical shells under axial compression, Kon. Nederl. Akad. Wetensch., Amsterdam, Serie3 B, 66 (1963), No. 5
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V. V. Bolotin, Statistical methods in the nonlinear theory of elastic shells, NASA TT F-85, 1962
W. B. Fraser, Buckling of a structure with random imperfections, Ph.D. Thesis, Harvard University, 1965
J. B. Keller, Stochastic equations and wave propagation in random media, Proc. Sympos. Appl. Math. XVI, Vol. 16, Amer. Math. Soc., Providence, R. I., 1964, pp. 145–170
R. C. Bourret, Stochastically perturbed fields, with applications to wave propagation in random media, Il Nuovo Cimento, Series X 26, 1–31 (1962)
J. M. Richardson, The application of truncated hierarchy techniques in the solution of a stochastic linear differential equation, Proc. Sympos. Appl. Math. XVI, Vol. 16, Amer. Math. Soc., Providence, R. I., 1964, pp. 290–302
C. W. Haines, Hierarchy methods for random vibrations of elastic strings and beams, J. Eng. Math. 1, 293–305 (1967)
J. S. Bendat, Principles and applications of random noise theory, Wiley, New York, 1958
D. Middleton, An introduction to statistical communication theory, McGraw Hill, New York, 1960
W. T. Koiter, The effect of axisymmetric imperfections on the buckling of cylindrical shells under axial compression, Kon. Nederl. Akad. Wetensch., Amsterdam, Serie3 B, 66 (1963), No. 5
B. O. Almroth, Influence of imperfections and edge restraint on the buckling of axially compressed cylinders, Lockheed Missiles and Space Company, 6-75-65-57
W. T. Koiter, Elastic stability and post-buckling behavior, Proc. Sympos. Nonlinear Problems, edited by R. E. Langer, University of Wisconsin Press, 257–275 (1963)
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Article copyright:
© Copyright 1969
American Mathematical Society
