We consider the free vibration problem of thin shells of revolution of constant type of geometry, focusing on the asymptotic behaviour of the lowest eigenfrequency, as the thickness tends to zero. Numerical experiments are computed using two discretization methods, collocation and finite elements, each corresponding to a different shell model. Our results are in agreement with theoretical results obtained using interpolation theory and cited in literature.

On the asymptotic behavior of shells of revolution in free vibration / E. Artioli, L. Beirao da Veiga, H. Hakula, C. Lovadina. - In: COMPUTATIONAL MECHANICS. - ISSN 0178-7675. - 44:1(2009), pp. 45-60.

On the asymptotic behavior of shells of revolution in free vibration

L. Beirao da Veiga
Secondo
;
C. Lovadina
2009

Abstract

We consider the free vibration problem of thin shells of revolution of constant type of geometry, focusing on the asymptotic behaviour of the lowest eigenfrequency, as the thickness tends to zero. Numerical experiments are computed using two discretization methods, collocation and finite elements, each corresponding to a different shell model. Our results are in agreement with theoretical results obtained using interpolation theory and cited in literature.
Collocation method; Finite element method; Free vibrations; Interpolation theory; Shell models
Settore MAT/08 - Analisi Numerica
2009
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/144529
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