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Vibrations of multi-structures including elastic shells: Asymptotic analysis

Published online by Cambridge University Press:  16 April 2002

A. G. ASLANYAN ,
A. B. MOVCHAN  and
Ö. SELSIL
A. G. ASLANYAN
Affiliation:
Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK
A. B. MOVCHAN
Affiliation:
Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK
Ö. SELSIL
Affiliation:
Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK
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Abstract

We consider an eigenvalue problem of three-dimensional elasticity for a multi-structure consisting of a finite three-dimensional solid linked with a thin-walled elastic cylinder. An asymptotic method is used to derive the junction conditions and to obtain the skeleton model for the multi-structure. Explicit asymptotic formulae have been obtained for the first six eigen-frequencies.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 13 , Issue 1 , February 2002 , pp. 109 - 128
Copyright
2002 Cambridge University Press

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