Geodesic
On the optimal shape of a compressed column
Theoretical and applied mechanics, Tome 37 (2010) no. 1, p. 37

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Zbl
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.
DOI : 10.2298/TAM1001037A
Classification : 74K10 70K50
Keywords: Lagrange problem, Pontryagin's principle, Estimates of cross-sectional area. 
Teodor M. Atanacković; Emina Basara; Branislava N. Novaković. On the optimal shape of a compressed column. Theoretical and applied mechanics, Tome 37 (2010) no. 1, p. 37 . doi: 10.2298/TAM1001037A
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     title = {On the optimal shape of a compressed column},
     journal = {Theoretical and applied mechanics},
     pages = {37 },
     year = {2010},
     volume = {37},
     number = {1},
     doi = {10.2298/TAM1001037A},
     zbl = {1299.74101},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM1001037A/}
}
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