Geodesic
Bimodal optimization with constraints: Critical value of the constraint and post-critical configurations
Theoretical and applied mechanics, Tome 38 (2011) no. 2, p. 107

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Zbl
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.
DOI : 10.2298/TAM1102107A
Classification : 74K10 74P10
Keywords: Bimodal optimization, Stability of rods, Post-buckling behavior 
Teodor M. Atanacković; Alexander P. Seyraniany. Bimodal optimization with constraints: Critical value of the constraint and post-critical configurations. Theoretical and applied mechanics, Tome 38 (2011) no. 2, p. 107 . doi: 10.2298/TAM1102107A
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     title = {Bimodal optimization with constraints: {Critical} value of the constraint and post-critical configurations},
     journal = {Theoretical and applied mechanics},
     pages = {107 },
     year = {2011},
     volume = {38},
     number = {2},
     doi = {10.2298/TAM1102107A},
     zbl = {1299.74100},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM1102107A/}
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