Comptes Rendus
no. 9
Estimating the convergence rate for eigenfrequencies of anisotropic plates with variable thickness
[Estimation du taux de convergence des valeurs propres des plaques anisotropes, avec épaisseur variable]
Serguei A. Nazarov1
1 Harrow School of Computer Science, Centre for Techno-Mathematics and Scientific Computing Laboratory, University of Westminster, London, UK
Comptes Rendus. Mécanique, Volume 330 (2002) no. 9, pp. 603-607.

On propose d'obtenir une majoration des écarts entre les valeurs propres du problème spectral d'une plaque mince élastique anisotrope et les valeurs propres du problème modèle bi-dimensionnel, par des termes qui ne dépendent que de l'épaisseur de la plaque et de la valeur propre limite correspondante.

Estimates of the differences between rescaled eigenvalues of the spectral problem for a thin anisotropic plate and eigenvalues of its two-dimensional models are obtained with bounds expressed in terms of the plate's thickness and attributes of the limit eigenvalue.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-0721(02)01515-2
Keywords: computational solid mechanics, thin anisotropic plate, two-dimensional problem
Mot clés : mécanique des solides numériques, plaque mince anisotrope, modèle bi-dimensional

Serguei A. Nazarov 1

1 Harrow School of Computer Science, Centre for Techno-Mathematics and Scientific Computing Laboratory, University of Westminster, London, UK 
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Serguei A. Nazarov. Estimating the convergence rate for eigenfrequencies of anisotropic plates with variable thickness. Comptes Rendus. Mécanique, Volume 330 (2002) no. 9, pp. 603-607. doi : 10.1016/S1631-0721(02)01515-2. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(02)01515-2/

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