Response Variability of Structures Subjected to Bifurcation Buckling
Publication: Journal of Engineering Mechanics
Volume 118, Issue 6
Abstract
It is well known that the response of structures subjected to bifurcation buckling may be affected radically, both quantitatively and qualitatively, by small structural imperfections. A new analytical method is presented for the determination of the buckling strength of such structures. The method results in the numerical solution of an ordinary matrix eigenvalue problem in a simple closed‐form formula that is particularly suitable for the study of the response variability of these structures. The method is exemplified with the investigation of the well‐known problem of the buckling of the axially compressed thin cylindrical shell. The structural imperfections of the shell are treated as a broadband random Gaussian process with an arbitrarily specified power spectral density function. Numerical results are obtained that demonstrate the inadequacy of Koiter's analysis for such problems, the simplicity and efficiency of the present method, and the significant effect of the power spectral density function of the imperfection pattern on the variability of the buckling strength of the shell.
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Published In
Journal of Engineering Mechanics
Volume 118 • Issue 6 • June 1992
Pages: 1164 - 1183
Copyright
Copyright © 1992 ASCE.
History
Published online: Jun 1, 1992
Published in print: Jun 1992
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