Superelement modelling of elastic ...
Type de document :
Compte-rendu et recension critique d'ouvrage
Titre :
Superelement modelling of elastic metamaterials: Complex dispersive properties of three-dimensional structured beams and plates
Auteur(s) :
Tallarico, Domenico [Auteur correspondant]
Swiss Federal Laboratories for Materials Science and Technology [Dübendorf] [EMPA]
Hannema, Gwenael [Auteur]
Swiss Federal Laboratories for Materials Science and Technology [Dübendorf] [EMPA]
Miniaci, Marco [Auteur]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
Acoustique - IEMN [ACOUSTIQUE - IEMN]
Bergamini, Andrea [Auteur]
Swiss Federal Laboratories for Materials Science and Technology [Dübendorf] [EMPA]
Zemp, Armin [Auteur]
Laboratory for Mechanics of Materials and Nanostructures [Thun] [EMPA]
van Damme, Bart [Auteur]
Swiss Federal Laboratories for Materials Science and Technology [Dübendorf] [EMPA]
Swiss Federal Laboratories for Materials Science and Technology [Dübendorf] [EMPA]
Hannema, Gwenael [Auteur]
Swiss Federal Laboratories for Materials Science and Technology [Dübendorf] [EMPA]
Miniaci, Marco [Auteur]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
Acoustique - IEMN [ACOUSTIQUE - IEMN]
Bergamini, Andrea [Auteur]
Swiss Federal Laboratories for Materials Science and Technology [Dübendorf] [EMPA]
Zemp, Armin [Auteur]
Laboratory for Mechanics of Materials and Nanostructures [Thun] [EMPA]
van Damme, Bart [Auteur]
Swiss Federal Laboratories for Materials Science and Technology [Dübendorf] [EMPA]
Titre de la revue :
Journal of Sound and Vibration
Pagination :
115499
Éditeur :
Elsevier
Date de publication :
2020-10-13
ISSN :
0022-460X
Mot(s)-clé(s) en anglais :
Elastic metamaterials
Numerical reduction
Dispersive properties
Numerical reduction
Dispersive properties
Discipline(s) HAL :
Sciences de l'ingénieur [physics]/Matériaux
Résumé en anglais : [en]
In this article, we offer a fast calculation method for the dispersive properties of three-dimensional micro-structured solids with one-dimensional and two-dimensional translation symmetry. We review mathematical methods ...
Lire la suite >In this article, we offer a fast calculation method for the dispersive properties of three-dimensional micro-structured solids with one-dimensional and two-dimensional translation symmetry. We review mathematical methods to obtain the complex dispersion diagram for such structures (i.e. the Bloch vector as a function of frequency). This can be done by solving a Bloch-Floquet eigenvalue problem which is non-linear in the Bloch vector. Such a problem inevitably calls for reduction methods as the required number of degrees of freedom of the unit cell increases. Therefore, an asymptotic-in-frequency technique is implemented in order to approximate the dynamic stiffness matrix of the unit cell. This is done by identifying and retaining the most significant nodal degrees-of-freedom, which are used to generate a unit cell "superelement". The accuracy of the Bloch vectors and corresponding eigenvectors asso-ciated with the reduced non-linear eigenvalue problem is demonstrated by direct comparison to full-size computations and shows excellent agreement combined with considerable computing time reduction and controllable limitations.Lire moins >
Lire la suite >In this article, we offer a fast calculation method for the dispersive properties of three-dimensional micro-structured solids with one-dimensional and two-dimensional translation symmetry. We review mathematical methods to obtain the complex dispersion diagram for such structures (i.e. the Bloch vector as a function of frequency). This can be done by solving a Bloch-Floquet eigenvalue problem which is non-linear in the Bloch vector. Such a problem inevitably calls for reduction methods as the required number of degrees of freedom of the unit cell increases. Therefore, an asymptotic-in-frequency technique is implemented in order to approximate the dynamic stiffness matrix of the unit cell. This is done by identifying and retaining the most significant nodal degrees-of-freedom, which are used to generate a unit cell "superelement". The accuracy of the Bloch vectors and corresponding eigenvectors asso-ciated with the reduced non-linear eigenvalue problem is demonstrated by direct comparison to full-size computations and shows excellent agreement combined with considerable computing time reduction and controllable limitations.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Source :
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