Reliability approach to the random imperfection sensitivity of columns

DOI10.1007/BF01267987zbMath0554.73042OpenAlexW2006532545MaRDI QIDQ760250

Isaac Elishakoff

Publication date: 1985

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01267987

zbMATH Keywords

reliability functionFourier coefficientsMonte-Carlo methodmixed quadratic-cubic elastic foundationmultimode solutionnormally distributed random functionsingle mode solutionstochastically imperfect finite columns

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) Reliability and life testing (62N05)

Cites Work

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• Reliability of axially compressed cylindrical shells with random axisymmetric imperfections
• On a probabilistic stability theory for imperfection sensitive structures
• Hoff’s Problem in a Probabilistic Setting
• Remarks on the Static and Dynamic Imperfection-Sensitivity of Nonsymmetric Structures
• Impact Buckling of Thin Bar Via Monte Carlo Method
• Simulation of space-random fields for solution of stochastic boundary-value problems
• Buckling of a Stochastically Imperfect Finite Column on a Nonlinear Elastic Foundation: A Reliability Study
• Buckling imperfection sensitivity of columns and spherical caps
• The Buckling of a Column With Random Initial Deflections
• On Postbuckling Behavior and Imperfection Sensitivity of Thin Elastic Plates on a Non‐Linear Elastic Foundation
• The Kolmogorov-Smirnov Test for Goodness of Fit

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