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. © 2008 Springer-Verlag.
Artioli, E., BEIRAO DA VEIGA, L., Hakula, H., Lovadina, C. (2009). On the asymptotic behavior of shells of revolution in free vibration. COMPUTATIONAL MECHANICS, 44(1), 45-60 [10.1007/s00466-008-0354-3].
On the asymptotic behavior of shells of revolution in free vibration
BEIRAO DA VEIGA, LOURENCOSecondo
;
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. © 2008 Springer-Verlag.
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