Non-linear buckling of a column with initial imperfection via stochastic and non-stochastic convex models

Author Type

Faculty

Co-Author Type 1

Faculty

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

International Journal of Non Linear Mechanics

Publication Status

Version of Record

Abstract

Buckling of initial imperfection sensitive structure - column on a non-linear elastic foundation - is investigated. A criterion based on the concept of "modal buckling load" is proposed to determine which modes should be included in the analysis when the weighted residuals method is utilized to calculate the limit load - maximum load the structure can support - for a given initial deflection. For stochastic analysis, a random field model is suggested for the uncertain initial imperfection, and Monte Carlo simulations are performed to obtain the probability density of the buckling load and the reliability of the column. Finally, a non-stochastic convex model of uncertainty is employed to describe a situation when only limited information is available on uncertain initial deflection, and the minimum buckling load is obtained for this model. The results from both the stochastic and the non-stochastic approaches are derived and critically contrasted. © 1993.

First Page

71

Last Page

82

DOI

10.1016/0020-7462(94)90053-1

Publication Date

1-1-1994

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