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

被引:6
|
作者
Chang, YC [1 ]
Demkowicz, L
机构
[1] Natl Ctr High Performance Comp, Hsinchu, Taiwan
[2] Univ Texas, Texas Inst Computat & Appl Math, Austin, TX 78712 USA
来源
TAIWANESE JOURNAL OF MATHEMATICS | 1998年 / 2卷 / 02期
关键词
LBB constant; vibration; viscoelastic; acoustic; spherical shell;
D O I
10.11650/twjm/1500406933
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper is a continuation of [3-6] and it is devoted to a stability analysis of multilayered vibrating viscoelastic spheres, both in vacuo and in an acoustical fluid. The analysis is done by investigating the effect of viscoelastic damping on the (continuous) Ladyzenskaya-Babuska-Brezzi (LBB) constants for the related boundary-value problems. The sphere is modeled using both 3-D viscoelasticity and the Kirchhoff-Love shell theory.
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页码:213 / 242
页数:30
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