具有内部点耗散的Timoshenko梁的能量衰减估计

章春国;赵宏亮

系统科学与数学 ›› 2006, Vol. 26 ›› Issue (1) : 83-094.

PDF(374 KB)
PDF(374 KB)
系统科学与数学 ›› 2006, Vol. 26 ›› Issue (1) : 83-094. DOI: 10.12341/jssms08714
论文

具有内部点耗散的Timoshenko梁的能量衰减估计

    章春国(1), 赵宏亮(2)
作者信息 +

Energy Decay Estimates of Timoshenko Beam with a Pointwise Feedback Force

    Zhang Chunguo(1), Zhao Hongliang(2)
Author information +
文章历史 +

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.

Abstract

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.

Key words

Timoshenko beam / pointwise dissipation / regularity / polynomial decay / exponential decay.

引用本文

导出引用
章春国 , 赵宏亮. 具有内部点耗散的Timoshenko梁的能量衰减估计. 系统科学与数学, 2006, 26(1): 83-094. https://doi.org/10.12341/jssms08714
Zhang Chunguo , Zhao Hongliang. Energy Decay Estimates of Timoshenko Beam with a Pointwise Feedback Force. Journal of Systems Science and Mathematical Sciences, 2006, 26(1): 83-094 https://doi.org/10.12341/jssms08714
PDF(374 KB)

Accesses

Citation

Detail

段落导航
相关文章

/