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 VeigaSecondo
;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.Pubblicazioni consigliate
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