Viscoelastic Timoshenko Beams with Occasionally Constant Relaxation Functions

被引:12
|
作者
Tatar, Nasser-eddine [1 ]
机构
[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
来源
APPLIED MATHEMATICS AND OPTIMIZATION | 2012年 / 66卷 / 01期
关键词
Arbitrary decay; Memory term; Relaxation function; Stabilization; Timoshenko beam; Viscoelasticity; BOUNDARY FEEDBACK STABILIZATION; EXPONENTIAL STABILITY; ASYMPTOTIC-BEHAVIOR; SYSTEMS; DECAY;
D O I
10.1007/s00245-012-9167-z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For a prescribed desirable arbitrary decay suitable viscoelastic materials are determined through their relaxation functions. It is shown that if we wish to have a decay of order gamma(t) then the kernels should be of the same order. That is their product with this function should be summable.
引用
收藏
页码:123 / 145
页数:23
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