Comptes Rendus
no. 4
Local problems for vibrating systems with concentrated masses: a review
[Sur les problèmes locaux pour les systèmes vibratoires avec des masses concentrées]
Miguel Lobo1 ; Eugenia Pérez2
1 Departamento de Matemáticas, Estadı́stica y Computación, Universidad de Cantabria, Avenida de los Castros s/n. 39005 Santander, Spain
2 Departamento de Matemática Aplicada y Ciencias de la Computación, Universidad de Cantabria, Avenida de los Castros s/n., 39005 Santander, Spain
Comptes Rendus. Mécanique, Volume 331 (2003) no. 4, pp. 303-317.

In this review we collect certain results obtained in the last decades on vibrating systems with concentrated masses. In particular, we show the connection of the eigenvalues and eigenfunctions of the local problem with the low and high frequency vibrations of the original problem.

Ce rapport-ci contient quelques resultats obtenus tout au long des denières décades sur les systèmes vibratoires avec masses concentrées. Notamment, on met en evidence la connexion entre les éléments propres du problème local et les vibrations de basses fréquences et d'hautes fréquences du problème original.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-0721(03)00058-5
Keywords: Vibrations, Spectral analysis, Concentrated masses, Low frequencies, High frequencies
Mots-clés : Vibrations, Analyse spectrale, Masses concentrées, Fréquences basses, Fréquences hautes

Miguel Lobo 1 ; Eugenia Pérez 2

1 Departamento de Matemáticas, Estadı́stica y Computación, Universidad de Cantabria, Avenida de los Castros s/n. 39005 Santander, Spain
2 Departamento de Matemática Aplicada y Ciencias de la Computación, Universidad de Cantabria, Avenida de los Castros s/n., 39005 Santander, Spain 
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Miguel Lobo; Eugenia Pérez. Local problems for vibrating systems with concentrated masses: a review. Comptes Rendus. Mécanique, Volume 331 (2003) no. 4, pp. 303-317. doi : 10.1016/S1631-0721(03)00058-5. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(03)00058-5/

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