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 shellmodel. Our results are in agreement with theoretical results obtained using interpolation theory and cited in literature.
On the asymptotic behaviour of shells of revolution in free vibration / Artioli, E; Beirão da Veiga, L; Hakula, H; Lovadina, C. - In: COMPUTATIONAL MECHANICS. - ISSN 0178-7675. - 44:(2009), pp. 45-60. [10.1007/s00466-008-0354-3]
On the asymptotic behaviour of shells of revolution in free vibration
Artioli E;
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 shellmodel. Our results are in agreement with theoretical results obtained using interpolation theory and cited in literature.
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