EXPONENTIAL STABILITY OF A JOINT-LEG-BEAM SYSTEM WITH MEMORY DAMPING

被引：1
作者：
Zhang, Qiong [1 ]
机构：
[1] Beijing Inst Technol, Sch Math, Beijing 100081, Peoples R China
来源：
MATHEMATICAL CONTROL AND RELATED FIELDS | 2015年 / 5卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Joint-leg-beam system; memory damping; C-0-semigroup; exponential stability; STABILIZATION;
D O I：
10.3934/mcrf.2015.5.321
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a system for combined axial and transverse motions of two viscoelastic Euler-Bernoulli beams connected through two legs to a joint. This model comes from rigidizable and inflatable space structures. First, the exponential stability of the joint-leg-beam system is obtained when both beams are subject to viscoelastic damping and memory kernels satisfy reasonable assumptions. Then, we show the lack of uniform decay of the coupled system when only one beam is assumed to have a memory damping and the second beam has no damping.
引用
收藏
页码：321 / 333
页数：13
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