Hostname: page-component-848d4c4894-m9kch Total loading time: 0 Render date: 2024-05-26T02:33:56.375Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)