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OmniScriptum Optimisation des structures par interpolation séquentielle: Optimisation des structures par interpolation et programmation séquentielle quadratique (Omn.Univ.Europ.)

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Description

L'optimisation structurale prend la forme générale d'un programme mathématique non linéaire et non convexe. Ce problème est difficile à résoudre car la fonction objectif et les contraintes ne s'écrivent pas toujours sous forme explicite en termes des variables de conception de base. Les méthodes de résolution existantes sont lentes et n'intègrent pas la faculté de globalisation. Une démarche alternative est proposé dans ce livre où un nouvel algorithme est introduit. Une séquence de problèmes approchés sont construits selon un processus itératif en utilisant les interpolations de la fonction objectif et des contraintes sur des domaines qui s'emboîtent et qui tendent de plus en plus vers un voisinage immédiat de l'optimum. Cet algorithme a été validé dans le cas de structures linéaires. Sa convergence a été analysée. L'algorithme a été appliqué ensuite avec succès dans le cas d'une structure non linéaire complexe se présentant sous la forme d'un bâtiment soumis à des sollicitations sismiques pour lequel on recherche à minimiser le poids sous la condition que le déplacement du toit reste admissible.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
29 October 2010
Listed Since
01 November 2010

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