On the Control of Dissipative Viscoelastic Timoshenko Beams

被引：8
|
作者：
Mustafa, Muhammad I. [1 ]
机构：
[1] Univ Sharjah, Dept Math, POB 27272, Sharjah, U Arab Emirates
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2021年 / 18卷 / 02期
关键词：
Timoshenko beam; energy decay rates; viscoelastic damping; frictional damping; 35B40; 74D99; 93D15; 93D20;
D O I：
10.1007/s00009-020-01680-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider a Timoshenko system subject to a complementary effect of frictional damping and viscoelastic damping. Under very general assumptions on the relaxation function and the frictional damping term, we establish, for the first time as per our knowledge, explicit and optimal energy decay rates for this system. Our result generalizes and improves earlier related results in the literature.
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收藏
页数：20
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