[Sur le problème de Lagrange de la forme optimale d'une colonne]
On propose une nouvelle approche au problème classique de Lagrange de la forme d'une colonne encastrée la plus solide à volume et hauteur fixés. On montre l'existence d'une telle colonne et on donne un algorithme pour la calculer.
A new approach to the classical Lagrange problem about the form of the strongest clamped column of fixed volume and height is proposed. The existence of the optimal column is proved and a method to find its design is given.
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Youri V. Egorov 1
@article{CRMATH_2002__335_12_997_0, author = {Youri V. Egorov}, title = {On the {Lagrange} problem about the strongest column}, journal = {Comptes Rendus. Math\'ematique}, pages = {997--1002}, publisher = {Elsevier}, volume = {335}, number = {12}, year = {2002}, doi = {10.1016/S1631-073X(02)02607-9}, language = {en}, }
Youri V. Egorov. On the Lagrange problem about the strongest column. Comptes Rendus. Mathématique, Volume 335 (2002) no. 12, pp. 997-1002. doi : 10.1016/S1631-073X(02)02607-9. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02607-9/
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