Laminated Timoshenko beams with viscoelastic damping

被引:45
|
作者
Mustafa, Muhammad I. [1 ]
机构
[1] Univ Sharjah, Dept Math, POB 27272, Sharjah, U Arab Emirates
关键词
Laminated beam; General decay; Viscoelastic damping; Relaxation function; ENERGY DECAY-RATES; EXPONENTIAL STABILIZATION; ASYMPTOTIC-BEHAVIOR; STABILITY; EQUATION; SYSTEMS;
D O I
10.1016/j.jmaa.2018.06.016
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we consider a viscoelastic laminated beam model. This structure is given by two identical uniform layers on top of each other, taking into account that an adhesive of small thickness is bonding the two surfaces and produces an interfacial slip. We use minimal and general conditions on the relaxation function and establish explicit energy decay formula which gives the best decay rates expected under this level of generality. Our new result generalizes the earlier related results in the literature. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码:619 / 641
页数:23
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