Modelling, analysis and control of thin plates / John Lagnese (1988)
Modelling, analysis and control of thin plates [texte imprimé] / John Lagnese, Auteur ; Jacques-Louis Lions, Auteur . - Paris : Masson, 1988 . - 174 p. ; 24 cm. - (Recherches en mathématiques appliquées, ISSN 0292-3168; 6) .
ISBN : 978-2-225-81429-7
Bibliogr. Index
Langues : Anglais (eng)
Mots-clés : Commande, Théorie de la
Plaques et coques élastiques
Plaques (ingénierie)
Plates (Engineering) -- Mathematical modelsIndex. décimale : 624.073 Structures portantes planes. Plaques. Dalles. Disques Résumé : Research in plate theory is considerably stimulated by an increasing number of questions posed by applications: control og large space structures, flexible robots, composite materials...chapiter 1 deals with the question of modelling the dynamique motion of thin plates. in chapter 2 a rigorous study of the situation when k- is given the result is that indeed, in suitable topologies. chapter 3 examine the exact controllability of the M-T model the chapter 4 and 5 deals with similar question which arise for the kirchhoff modelin chapter 6 take up the question of exact controllability of the kirchhff model with thermal effects incorporated into the model, and the chapter 7 is devoted to the reachability problem for viscoelastic plated with long range memory Note de contenu : Au sommaire:
- Plate models
- The mindlin- tioshenko model and its limit as K-
- A priori estimates and exact controllability for mindlin timoshenko plates
- The one dimensional cas
- Exact controllability for kirchhoff plates
- Partial exact controllability for thermoelastic plates
- Reachability for linear plates with a long memory