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| 关于连接梁的最优衰减率问题 | |
| 引用本文： | 王耀庭,王光,李胜家. 关于连接梁的最优衰减率问题[J]. 应用泛函分析学报, 2000, 2(2): 111-122 |
| 作者姓名： | 王耀庭 王光 李胜家 |
| 作者单位： | 山西大学数学系,山西太原 030006 |
| 基金项目： | Project 69674011 supported by NSFC, and 981001 supported by Shanxi Science Foundation. |
| 摘 要： | 研究具有耗散结点的连接梁的最优指数衰减率问题，该系统由于能量的衰减而导致弯矩在结点处间断，我们的方法是证明系统的一组广义征元生成状态空间的Riesz基，从而证明最优指数衰减率可由系统的谱确定。 |
| 关 键 词： | 连接梁方程 耗散结点 RIESZ基 最优指数衰减率 |
| 文章编号： | 1009-1327(2000)02-0111-12 |
| 修稿时间： | 1999-11-20 |
On the Optimal Decay Rate of Coupled Beams |
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| WANG Yiao- ting,WANG Guang,LI Sheng- jia Departmentof Mathematics,Shanxi University,Taiyuan ,China. On the Optimal Decay Rate of Coupled Beams[J]. Acta Analysis Functionalis Applicata, 2000, 2(2): 111-122 | |
| Authors: | WANG Yiao- ting WANG Guang LI Sheng- jia Departmentof Mathematics Shanxi University Taiyuan China |
| Affiliation: | WANG Yiao- ting,WANG Guang,LI Sheng- jia Departmentof Mathematics,Shanxi University,Taiyuan 0 30 0 0 6,China |
| Abstract: | This paper studies the optimal exponential decay rate of two beams coupled with a dissipative joint,where the energy dissipation arises from a discontinuity in the bending moment at the joint.The method we used is to prove that a set of the generalized eigenvectors of the system operator form a Riesz basis forthe state space,so thatthe optimal exponential decay rate can be obtained from the spectrum of the system. |
| Keywords: | connected beam equation dissipative joint Riesz basis optimal exponential decay rate |
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