Stability for the Timoshenko Beam System with Local Kelvin-Voigt Damping

被引：0
|
作者：
Hong Liang ZHAO
Chun Guo ZHANG
机构：
来源：
Acta Mathematica Sinica(English Series) | 2005年 / 21卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Timoshenko beam; Kelvin-Voigt damping; Semigroup; Stability;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper, we consider a vibrating beam with one segment made of viscoelastic materialof a Kelvin-Voigt (shorted as K-V) type and other parts made of elastic material by means of theTimoshenko model. We have deduced mathematical equations modelling its vibration and studied thestability of the semigroup associated with the equation system. We obtain the exponential stabilityunder certain hypotheses of the smoothness and structural condition of the coefficients of the system,and obtain the strong asymptotic stability under weaker hypotheses of the coefficients.
引用
收藏
页码：655 / 666
页数：12
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