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On the optimal shape of a compressed column

Author(s): Atanacković Teodor M. | Novaković Branislava N. | Basara Emina

Journal: Theoretical and Applied Mechanics ISSN 1450-5584
Volume: 37; Issue: 1; Start page: 37; Date: 2010;
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Keywords: Lagrange problem | Pontryagin's principle | estimates of cross-sectional area

ABSTRACT
A new numerical solution to the Lagrange problem is presented. The solution is compared with a priori estimates obtained recently. Also we derive a new relation that shows that the cross-sectional area at the middle of the optimally shaped column is larger than the cross-sectional area at the ends. Our numerical experiments confirm that conclusion.