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contributor authorBaizhikova, Zheren;Le, JiaLiang;Ballarini, Roberto
date accessioned2023-04-06T12:51:11Z
date available2023-04-06T12:51:11Z
date copyright10/13/2022 12:00:00 AM
date issued2022
identifier issn218936
identifier otherjam_90_1_011003.pdf
identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4288629
description abstractGeometrical imperfections are ubiquitous in loadbearing structures, including beams, columns, and shells. Fabrication processes of structural members most often create geometrical imperfections of random size and shape, which lead to nondeterministic loadcarrying capacity. This study investigates the statistics of the buckling load of a beam with a random initial imperfection profile that rests on a nonlinear elastic foundation. The geometrical imperfection is represented by a zeromean Gaussian random field, generated using the Karhunen–Loève expansion. The spatial distribution of the random imperfection is characterized by the probability distribution of the local imperfection magnitude and a spatial autocorrelation function. A finitedifference scheme is used to solve the governing equilibrium equation for a given initial imperfection profile, from which the buckling load is determined. Through a set of Monte Carlo simulations, the mean and variance of the buckling load are determined. The simulations reveal the influence of different length scales on the statistics of the buckling load, including the beam length and the autocorrelation length of the geometrical imperfection. The size effects predicted with the simplified model have implications for reliabilitybased structural design.
publisherThe American Society of Mechanical Engineers (ASME)
titleStochastic Buckling of Geometrically Imperfect Beams on Elastic Foundation
typeJournal Paper
journal volume90
journal issue1
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.4055811
journal fristpage11003
journal lastpage110036
page6
treeJournal of Applied Mechanics:;2022:;volume( 090 ):;issue: 001
contenttypeFulltext


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