Vibrations of a folded plate

نویسندگان

  • HERVÉ LE DRET
  • P. G. CIARLET
چکیده

— In this article, it is shown that the eigenvalues and eigenvector s o f the threedimensional linearized elasticity operator in a thin folded plate converge toward the eigenvalues and eigenvectors of a limit 2d-2d model as the thickness o fthe plates tends to 0. The convergence o f the associated stresses is also established. Resumé. — On montre dans cet article que les valeurs propres et vecteurs propres de l'opérateur de l'élasticité linéarisée tridimensionnelle dans un domaine en forme de plaque pliée convergent vers les valeurs propres et vecteurs propres d'un modèle limite 2d-2d quand l'épaisseur des plaques tend vers 0. On établit également que les contraintes qui leur sont associées convergent.

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تاریخ انتشار 2017