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Asymptotic Behavior of the Eigenfrequency of a One-Dimensional Linear Thermoelastic System

✍ Scribed by Bao Zhu Guo; Siu Pang Yung

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
229 KB
Volume
213
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper, we are concerned with the asymptotic behavior of the eigenvalues arising from a one-dimensional linear thermoelastic system with the Dirichlet᎐ Dirichlet boundary condition. It is shown that the eigenfrequency asymptotically falls on two branches: one branch is along the negative horizontal axis in the complex plane and the other branch is asymptotic to the vertical line Re s yβ₯ 2 r2 k. These results lead to the exponential stability of the system and also Ε½ provide a proof for the numerical simulation results by Liu and Zheng 1993, .

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