Bimodal optimization with constraints: Critical value of the constraint and post-critical configurations | Zendy

Teodor Atanackovic | Zendy; Alexander Seyraniany | Zendy

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Bimodal optimization with constraints: Critical value of the constraint and post-critical configurations

Author(s) -

Teodor Atanackovic,

Alexander Seyraniany

Publication year - 2011

Publication title -

theoretical and applied mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.279

H-Index - 6

eISSN - 2406-0925

pISSN - 1450-5584

DOI - 10.2298/tam1102107a

Subject(s) - constraint (computer aided design) , critical point (mathematics) , mathematics , value (mathematics) , shape optimization , mathematical optimization , pontryagin's minimum principle , mathematical analysis , geometry , physics , statistics , optimal control , finite element method , thermodynamics

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

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