The paper is concerned with the problem of buckling of finite columns with initial imperfections, resting on a “softening” nonlinear elastic foundation. The approach is probabilistic. The initial imperfections are assumed to be Gaussian random fields with given mean and autocorrelation functions, and the problem is solved by the Monte Carlo Method. For each realization of the initial imperfection function, the buckling load was found through transformation of the two-point nonlinear boundary-value problem into an initial-value problem and results were used in constructing the empirical reliability function at the specified load (relative number of columns with buckling loads exceeding this specified load). Numerous results are presented with regard to the influence of the parameters of the columns on their imperfection sensitivity.
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June 1979
Research Papers
Buckling of a Stochastically Imperfect Finite Column on a Nonlinear Elastic Foundation: A Reliability Study
Isaac Elishakoff
Isaac Elishakoff
Department of Aeronautical Engineering, Technion, Israel Institute of Technology, Haifa, Israel
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Isaac Elishakoff
Department of Aeronautical Engineering, Technion, Israel Institute of Technology, Haifa, Israel
J. Appl. Mech. Jun 1979, 46(2): 411-416 (6 pages)
Published Online: June 1, 1979
Article history
Received:
February 1, 1978
Revised:
August 1, 1978
Online:
July 12, 2010
Citation
Elishakoff, I. (June 1, 1979). "Buckling of a Stochastically Imperfect Finite Column on a Nonlinear Elastic Foundation: A Reliability Study." ASME. J. Appl. Mech. June 1979; 46(2): 411–416. https://doi.org/10.1115/1.3424564
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