具有动态边界反馈的Timoshenko梁的能量衰减估计  

Energy decay estimates of Timoshenko beam with dynamic boundary feedback

作　　者：严佳梦 鲁轶戈 章春国[1] YAN Jiameng;LU Yige;ZHANG Chunguo(School of Sciences,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China)

机构地区：[1]杭州电子科技大学理学院,浙江杭州310018

出　　处：《杭州电子科技大学学报（自然科学版）》2021年第6期87-93,共7页Journal of Hangzhou Dianzi University：Natural Sciences

基　　金：国家自然科学基金资助项目(61374096)。

摘　　要：研究具有动态边界反馈的Timoshenko梁的能量衰减问题。首先,将系统改写成Hilbert空间上的抽象Cauchy问题,运用算子半群理论得到Timoshenko梁系统的解的存在唯一性;然后,借助乘子技巧结合频域方法证明了该系统的能量是一致指数衰减的。This paper concerns the energy decay estimates of Timoshenko beam system with dynamic boundary feedback. Firstly, the system is rewritten into the abstract Cauchy problem in Hilbert space, and the existence and uniqueness of the solution of Timoshenko beam equation is obtained by using the operator semigroup theory. Secondly, by the use of the multiplier techniques and frequency domain method, it is proved that the energy of the system is uniformly exponentially decay.

关 键 词：动态边界反馈 频域方法 乘子技巧 能量衰减估计 

分 类 号：O231.4[理学—运筹学与控制论]