On the optimal shape of a compressed columnAuthor(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;
Keywords: Lagrange problem | Pontryagin's principle | estimates of cross-sectional area
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.