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.

引用

页码：213 / 242

页数：30

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