General Decay Rates for a Laminated Beam with Memory

被引:31
作者
Chen, Zhijing [1 ]
Liu, Wenjun [1 ]
Chen, Dongqin [1 ]
机构
[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China
来源
TAIWANESE JOURNAL OF MATHEMATICS | 2019年 / 23卷 / 05期
基金
中国国家自然科学基金;
关键词
general stability; laminated beam; memory; energy method; BOUNDARY-CONDITION; TIMOSHENKO BEAMS; WAVE-EQUATION; STABILITY; MODEL;
D O I
10.11650/tjm/181109
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In previous work [23], Mustafa considered a viscoelastic laminated beam system with structural damping in the case of equal-speed wave propagations, and established explicit energy decay formula which gives the best decay rates. In this paper, we continue to consider the similar problems and establish the general decay result for the energy, to system with structural damping in the case of non-equal wave speeds and to system without structural damping in the case of equal wave speeds, respectively. For the first case, we use the second-order energy method to overcome the difficulty of estimating the non-equal speeds term. For the second case, we construct an appropriated perturbed functional to estimate parallel to w(t)parallel to(2)(2)so as to overcome the absence of structural damping.
引用
收藏
页码:1227 / 1252
页数:26
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