Electronic Resource
Springer
Acta applicandae mathematicae
17 (1989), S. 269-286
ISSN:
1572-9036
Keywords:
58F14
;
35C20
;
35F20
;
Stochastic bifurcation
;
buckling
;
asymptotic expansion
;
nonlinear equation
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The qualitative behavior of buckled states of two different models of elastic beams is studied. It is assumed that random imperfections affect the governing nonlinear equations. It is shown that near the first critical value of the buckling load the stochastic bifurcation is described asymptotically by an algebraic equation whose coeffficients are Gaussian random variables. The corresponding asymptotic expansion for the displacement is to lowest order a Gaussian stochastic process.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00047074
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