具有内部点耗散的Timoshenko梁的能量衰减估计  

ENERGY DECAY ESTIMATES OF TIMOSHENKO BEAM WITH A POINTWISE FEEDBACK FORCE

作　　者：章春国[1] 赵宏亮[2] 

机构地区：[1]杭州电子科技大学数学系,杭州310018 [2]东北师范大学数学与统计学院,长春130024

出　　处：《系统科学与数学》2006年第1期83-94,共12页Journal of Systems Science and Mathematical Sciences

基　　金：杭州电子科技大学科研基金;数学天元青年基金;东北师范大学青年基金资助课题.

摘　　要：研究具有反馈控制力的Timoshenko梁的能量衰减．证明了梁的能量不是一致衰减的．当梁的能量不是一致衰减时,利用初始值的正则性和无阻尼问题的最佳正则性结果,给出了多项式衰减估计．In this paper, we study the energy decay estimates of a Timoshenko beam which is subject to a pointwise control force. We show that uniform energy decay may not occur. We give explicit polynomial decay estimates valid for regular initial data, when nonuniform energy decay occurs. Our method consists of deducing the decay estimates from observability inequalities for the associated undamped problem via sharp trace regularity results.

关 键 词：TIMOSHENKO梁 点耗散 正则性 多项式衰减 指数衰减 

分 类 号：O326[理学—一般力学与力学基础]