The asymptotic behavior of the smallest eigenvalue in linear shell problems is studied, as the thickness parameter tends to zero. In order to cover the widest range of mid-surface geometry and boundary conditions, an abstract approach has been followed, and the Real Interpolation Theory has been used as main tool. A result concerning the ratio between the bending and the total elastic energy is proved. Furthermore, an example of application to cylindrical shells is detailed.
Titolo: | An Interpolation Theory approach to Shell Eigenvalue Problems |
Autori: | BEIRAO DA VEIGA, LOURENCO (Primo) |
Parole Chiave: | Interpolation theory; Koiter shell |
Settore Scientifico Disciplinare: | Settore MAT/08 - Analisi Numerica |
Data di pubblicazione: | 2008 |
Rivista: | |
Tipologia: | Article (author) |
Digital Object Identifier (DOI): | 10.1142/S0218202508003273 |
Appare nelle tipologie: | 01 - Articolo su periodico |
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