%0 Journal Article
%T Bimodal optimization with constraints: Critical value of the constraint and post-critical configurations
%A Atanackovi£¿ Teodor M.
%A Seyraniany Alexander P.
%J Theoretical and Applied Mechanics
%D 2011
%I Serbian Society of Mechanics, Belgrade
%R 10.2298/tam1102107a
%X By using a method based on Pontryagin¡¯s principle, formulated in [13], and [14] we study optimal shape of an elastic column with constraints on the minimal value of the cross-sectional area. We determine the critical value of the minimal cross-sectional area separating bi from unimodal optimization. Also we study the post-critical shape of optimally shaped rod and find the preferred configuration of the bifurcating solutions from the point of view of minimal total energy.
%K bimodal optimization
%K stability of rods
%K post-buckling behavior
%U http://www.doiserbia.nb.rs/img/doi/1450-5584/2011/1450-55841102107A.pdf