INVARIANT REPRESENTATION OF PROPAGATION PROPERTIES FOR BI-COUPLED PERIODIC STRUCTURES - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Sound and Vibration Année : 2002

INVARIANT REPRESENTATION OF PROPAGATION PROPERTIES FOR BI-COUPLED PERIODIC STRUCTURES

Résumé

General bi-coupled periodic systems are dealt with by means of transfer matrices of single units. The solutions of the associated characteristic equation are discussed in terms of invariant quantities by exploiting the well-known reversibility of its coefficients. An exhaustive description of the free wave propagation patterns is given on the invariant plane where propagation domains with qualitatively different character are identified. The asymptotic behavior of the roots of the characteristic equation when the invariants tend to infinity is analyzed. The contour plot of the real part of the propagation constants, responsible for the amount of attenuation of the characteristic waves, is illustrated on the invariants' plane. Next, several models of bi-coupled periodic structures made up of beams resting on elastic supports are considered. A non-linear mapping from the invariants' plane to the physical parameters plane provides a concise representation of the pattern of the propagation domains. A mechanical interpretation associated with the boundaries of these regions is given. Finally, the proper'selection of the physical parameters governing the propagation modes is discussed.

Domaines

Génie civil
Fichier principal
Vignette du fichier
Romeo_Luongo.pdf (2.28 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00798016 , version 1 (07-03-2013)

Identifiants

  • HAL Id : hal-00798016 , version 1

Citer

Francesco Romeo, Angelo Luongo. INVARIANT REPRESENTATION OF PROPAGATION PROPERTIES FOR BI-COUPLED PERIODIC STRUCTURES. Journal of Sound and Vibration, 2002, 257 (5), pp.869-886. ⟨hal-00798016⟩
60 Consultations
175 Téléchargements

Partager

Gmail Facebook X LinkedIn More