Title
Free vibrations for some Koiter shells of revolution
Abstract
The asymptotic behaviour of the smallest eigenvalue in linear Koiter shell problems is studied, as the thickness parameter tends to zero. In particular, three types of shells of revolution are considered. A result concerning the ratio between the bending and the total elastic energy is also provided, by using the general theory detailed in [L. Beirão da Veiga, C. Lovadina, An interpolation theory approach to Shell eigenvalue problems (submitted for publication); L. Beirão da Veiga, C. Lovadina, Asymptotics of shell eigenvalue problems, C.R. Acad. Sci. Paris 9 (2006) 707–710].
Year
DOI
Venue
2008
10.1016/j.aml.2007.10.030
Applied Mathematics Letters
Keywords
Field
DocType
Shells of revolution,Eigenvalue problems,Interpolation theory,Sobolev spaces,Elastic energy
Mathematical optimization,Mathematical analysis,Sobolev space,Interpolation,Interpolation theory,Bending,Elastic energy,L-theory,Asymptotic analysis,Mathematics,Eigenvalues and eigenvectors
Journal
Volume
Issue
ISSN
21
12
0893-9659
Citations 
PageRank 
References 
1
0.63
0
Authors
4
Name
Order
Citations
PageRank
E Artioli131.13
Lourenço Beirão da Veiga2798.41
Harri Hakula34710.80
Carlo Lovadina4718.65