Data di Pubblicazione:
2008
Citazione:
Asymptotic and numerical analysis of the eigenvalue problem of a clamped cylindrical shell / L. Beirao da Veiga, H. Hakula, J. Pitkaranta. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - 18:11(2008), pp. 1983-2002.
Abstract:
We are interested in the asymptotic analysis of the eigenvalue problem of clamped cylindrical shells. We analyze the lowest eigenvalues as a function of the shell thickness t, the asymptotic behavior of the respective eigenfunctions, and show how the different displacement components and parts of the energy scale in t. As a consequence, we are able to single out the numerical difficulties of the problem, which, surprisingly for a formally bending inhibited problem, include the presence of locking. Extensive numerical tests are included.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Asymptotic behavior; Clamped cylinder; Eigenvalue problem; Finite element method; Shell
Elenco autori:
L. Beirao da Veiga, H. Hakula, J. Pitkaranta
Link alla scheda completa: