Reliability approach to the random imperfection sensitivity of columns

Author Type

Outside Researcher

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

Acta Mechanica

Publication Status

Version of Record

Abstract

Buckling of stochastically imperfect finite columns on a mixed quadratic-cubic elastic foundation is studied. The imperfection function is assumed to be a normally distributed random function of the space coordinate with given mean function and autocorrelation function. The problem is solved by the Monte-Carlo-Method. The Fourier coefficients of the initial imperfection function, expanded in terms of the buckling modes of the associated perfect column, are simulated. For each trial the buckling load is obtained numerically, and the results are used in constructing the reliability function at a specified load (defined as the probability of the buckling load exceeding this specified load). The study is a sequel to an earlier work of the author concerning the reliability of stochastically imperfect columns on a purely cubic nonlinear elastic foundation. © 1985 Springer-Verlag.

First Page

151

Last Page

170

DOI

10.1007/BF01267987

Publication Date

4-1-1985

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