[Sur la formulation géométriquement exacte de la mécanique des structures et ses applications en dynamique, contrôle et optimisation]
Dans cet article nous réexaminons la formulation théorique de la mécanique des structures n'imposant aucune restriction sur la grandeur des déplacements, des rotations ou des déformations, qui est alors dite géométriquement exacte. Une attention pariculière est portée aux aspects du calcul pertinents aux rotations finies, dont la maı̂trise représente un élément clé pour toute formulation de ce type. Nous présentons brièvement quelques applications nouvelles de le théorie géométriquement exacte en dynamique, en contrôle et en optimisation.
In this survey paper we re-examine the theoretical formulation of structural mechanics, introducing no restrictions with respect to the size of displacements, rotations or deformations, which is commonly referred to as geometrically exact. A special attention is given to clarifying the computational aspects of finite rotations as the key ingredient of any such formulation. We briefly discuss several novel applications of the geometrically exact formulation to dynamics, control and optimization.
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Mots-clés : Solides et structures, Rotation finie, Dynamique, Contrôle, Optimisation
Adnan Ibrahimbegovic 1
@article{CRMECA_2003__331_5_383_0,
author = {Adnan Ibrahimbegovic},
title = {On the geometrically exact formulation of structural mechanics and its applications to dynamics, control and optimization},
journal = {Comptes Rendus. M\'ecanique},
pages = {383--394},
publisher = {Elsevier},
volume = {331},
number = {5},
year = {2003},
doi = {10.1016/S1631-0721(03)00062-7},
language = {en},
}
TY - JOUR AU - Adnan Ibrahimbegovic TI - On the geometrically exact formulation of structural mechanics and its applications to dynamics, control and optimization JO - Comptes Rendus. Mécanique PY - 2003 SP - 383 EP - 394 VL - 331 IS - 5 PB - Elsevier DO - 10.1016/S1631-0721(03)00062-7 LA - en ID - CRMECA_2003__331_5_383_0 ER -
%0 Journal Article %A Adnan Ibrahimbegovic %T On the geometrically exact formulation of structural mechanics and its applications to dynamics, control and optimization %J Comptes Rendus. Mécanique %D 2003 %P 383-394 %V 331 %N 5 %I Elsevier %R 10.1016/S1631-0721(03)00062-7 %G en %F CRMECA_2003__331_5_383_0
Adnan Ibrahimbegovic. On the geometrically exact formulation of structural mechanics and its applications to dynamics, control and optimization. Comptes Rendus. Mécanique, Volume 331 (2003) no. 5, pp. 383-394. doi : 10.1016/S1631-0721(03)00062-7. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(03)00062-7/
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