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Estimates for the low eigenfrequencies of a multi-structure including an elastic shell

Published online by Cambridge University Press:  01 July 2003

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

An eigenvalue problem is considered for a multi-structure consisting of a three-dimensional finite solid connected to an arbitrary smooth elastic thin shell of revolution. Two-sided estimates are obtained for the first six eigenfrequencies of the multi-structure. Explicit asymptotic formulae are given.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 14 , Issue 3 , June 2003 , pp. 313 - 342
Copyright
2003 Cambridge University Press

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