| 一维线性热弹性系统的边界控制与衰减指数 |
| |
| 引用本文： | 周蓉,郭宝珠. 一维线性热弹性系统的边界控制与衰减指数[J]. 数学物理学报(A辑), 1999, 19(3): 256-265 |
| |
| 作者姓名： | 周蓉 郭宝珠 |
| |
| 作者单位： | 北京理工大学应用数学系!北京，100081，北京理工大学应用数学系!北京，100081 |
| |
| 摘 要： | 考虑边界反馈时，一维热弹性系统的衰减速度．证明了闭环系统的谱确定增长条件成立，且反馈增益常数可任意改变高本征频谱．最后谱方法给出了数值模拟结果．
|
| 关 键 词： | 热弹性 边界控制 稳定性 渐近分析 |
The Decay Rate of a One Dimensional Linear Themoelastic System with Boundary Stabilizer |
| |
| Zhou Rong, Guo Baozhu. The Decay Rate of a One Dimensional Linear Themoelastic System with Boundary Stabilizer[J]. Acta Mathematica Scientia, 1999, 19(3): 256-265 |
| |
| Authors: | Zhou Rong Guo Baozhu |
| |
| Abstract: | In this paper, we give an asymptotic estimation of the eigenfrequencies of a one dimensional themoelastic system with one end stress damping. It is shown that this kind of boundary stress feedback can improve arbitrarily the decay rate of the higher eigenfrequen-cies. The Legendre spectral method is used to compute the eigenvalues of the damped op-erator. Numerical results confirms the theoretical estimations. |
| |
| Keywords: | Thermoelasticity Boundary feedback Stability Asymptotic analysis |
| 本文献已被 CNKI 维普 等数据库收录！ |
