Optimal topological design of periodic structures for natural frequencies / Zhi Hao Zuo in Journal of structural engineering, Vol. 137 N° 10 (Octobre 2011)  

Public ISBD [article]  inJournal of structural engineering > Vol. 137 N° 10 (Octobre 2011) . - pp. 1229-1240 Titre : Optimal topological design of periodic structures for natural frequencies Type de document : texte imprimé Auteurs : Zhi Hao Zuo, Auteur ; Yi Min Xie, Auteur Année de publication : 2012 Article en page(s) : pp. 1229-1240 Note générale : Génie Civil Langues : Anglais (eng) Mots-clés : Topology optimization Bidirectional evolutionary structural (BESO) Eigenvalue Natural frequency Periodic structures Repetitive Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : This paper proposes a method for topology optimization of periodic structures on dynamic problems by using an improved bidirectional evolutionary structural optimization (BESO) technique. Frequency optimization and frequency-stiffness optimization are formulated for periodic continuum structures at the macroscopic level under arbitrary loadings and boundaries. Numerical instabilities that occur in common topological frequency optimization are dealt with by eliminating singular and single-hinged elements and removing alternative element groups in case of sudden drops of the relevant frequency. Layout periodicity of the optimal design is guaranteed by creating a representative unit cell (RUC) on the basis of a user-defined cell mode and averaging the sensitivities from all unit cells into the RUC. The capability and effectiveness of the proposed approach are demonstrated by numerical experiments with various cell modes. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i10/p1229_s1?isAuthorized=no [article] Optimal topological design of periodic structures for natural frequencies [texte imprimé] / Zhi Hao Zuo, Auteur ; Yi Min Xie, Auteur . - 2012 . - pp. 1229-1240. Génie Civil Langues : Anglais (eng) in Journal of structural engineering > Vol. 137 N° 10 (Octobre 2011) . - pp. 1229-1240 Mots-clés : Topology optimization Bidirectional evolutionary structural (BESO) Eigenvalue Natural frequency Periodic structures Repetitive Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : This paper proposes a method for topology optimization of periodic structures on dynamic problems by using an improved bidirectional evolutionary structural optimization (BESO) technique. Frequency optimization and frequency-stiffness optimization are formulated for periodic continuum structures at the macroscopic level under arbitrary loadings and boundaries. Numerical instabilities that occur in common topological frequency optimization are dealt with by eliminating singular and single-hinged elements and removing alternative element groups in case of sudden drops of the relevant frequency. Layout periodicity of the optimal design is guaranteed by creating a representative unit cell (RUC) on the basis of a user-defined cell mode and averaging the sensitivities from all unit cells into the RUC. The capability and effectiveness of the proposed approach are demonstrated by numerical experiments with various cell modes. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i10/p1229_s1?isAuthorized=no

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