Buckling of stochastically imperfect columns on nonlinear elastic foundations

John C. Amazigo

27 citations0/0 files storedQuarterly of Applied Mathematics

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Probabilistic and Robust Engineering Design Structural Load-Bearing Analysis Vibration and Dynamic Analysis

Abstract

Approximate asymptotic expressions are obtained for the buckling stresses and autocorrelation of the lateral displacement of infinitely long imperfect columns resting on nonlinear elastic foundations. The imperfections are assumed to be homogeneous Gaussian random functions with known autocorrelation. The formulas are discussed and compared with previous results obtained by means of truncated hierarchy and equivalent linearization techniques.

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1969The Buckling of a Column With Random Initial Deflections

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1976Buckling of Stochastically Imperfect Structures 1979The buckling of lattice columns with stochastic imperfections 2022Stochastic Buckling of Geometrically Imperfect Beams on Elastic Foundation 2013Modified Monte Carlo method for buckling analysis of nonlinear imperfect structures 2005Influence of extra terms on asymptotic analysis of imperfection sensitivity of toroidal shell segment with random imperfection 2021Advanced computational technique based on kriging and Polynomial Chaos Expansion for structural stability of mechanical systems with uncertainties

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