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Shock and Vibration
Volume 3, Issue 6, Pages 403-417
http://dx.doi.org/10.3233/SAV-1996-3602

Vibration Analysis of Viscoelastically Damped Sandwich Shells

Ji-Fan He1 and Bang-An Ma2

1Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
2Institute of Mechanics, Academia Sinica, Beijing 100080, China

Received 14 July 1995; Accepted 20 May 1996

Copyright © 1996 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The simplified governing equations and corresponding boundary conditions of vibration of viscoelastically damped unsymmetrical sandwich shells are given. The asymptotic solution to the equations is then discussed. If only the first terms of the asymptotic solution of all variables are taken as an approximate solution, the result is identical with that obtained from the modal strain energy method. By taking more terms of the asymptotic solution with successive calculations and use of the Padé approximants method, accuracy of natural frequencies and modal loss factors of sandwich shells can be improved. The lowest three or four natural frequencies and modal loss factors of simply supported cylindrical sandwich shells are calculated.