Abstract
The present paper addresses the problem of the response variability of structures, which experience bifurcation buckling. The buckling strength of such structures may be very sensitive to the small structural imperfections, which are practically inevitable in all real structures. A new general method is presented, which is particularly suitable for the treatment of the stochastic nature of the structural imperfections. The new method is exemplified with two well known buckling problems. The first problem is the buckling of a column on a linear elastic foundation. The shape imperfections of the column are treated as a weakly stationary random process with a pre-specified auto-correlation function. The second problem is the buckling of a thin cylindrical shell under axial compression. The shape imperfections of the shell are treated as a broad-band random Gaussian process with an arbitrarily specified power spectral density function. In both cases, representative numerical results are presented for the purpose of improving our understanding of the response variability of these structures.
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© 1991 Computational Mechanics Publications
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Palassopoulos, G.V. (1991). On the Effect of Stochastic Imperfections on the Buckling Strength of Certain Structures. In: Spanos, P.D., Brebbia, C.A. (eds) Computational Stochastic Mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3692-1_19
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DOI: https://doi.org/10.1007/978-94-011-3692-1_19
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-85166-698-0
Online ISBN: 978-94-011-3692-1
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