Abstract | ||
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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 |
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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 Artioli | 1 | 3 | 1.13 |
Lourenço Beirão da Veiga | 2 | 79 | 8.41 |
Harri Hakula | 3 | 47 | 10.80 |
Carlo Lovadina | 4 | 71 | 8.65 |