A stability analysis for vibrating viscoelastic spherical shells (The effect of damping on the LBB constants of vibration problems)

Authors
Chang, YC Demkowicz, L
Citation
Yc. Chang et L. Demkowicz, A stability analysis for vibrating viscoelastic spherical shells (The effect of damping on the LBB constants of vibration problems), TAIWAN J M, 2(2), 1998, pp. 213-242
Citations number
13
Categorie Soggetti
Mathematics
Journal title
TAIWANESE JOURNAL OF MATHEMATICS
ISSN journal
10275487 → ACNP
Volume
2
Issue
2
Year of publication
1998
Pages
213 - 242
Database
ISI
SICI code
1027-5487(199806)2:2<213:ASAFVV>2.0.ZU;2-0
Abstract
This paper is a continuation of [3-6] and it is devoted to a stability anal ysis of multilayered vibrating viscoelastic spheres, both in vacuo and in a n acoustical fluid. The analysis is done by investigating the effect of vis coelastic damping on the (continuous) Ladyzenskaya-Babuska-Brezzi (LBB) con stants for the related boundary-value problems. The sphere is modeled using both 3-D viscoelasticity and the Kirchhoff-Love shell theory.