Stabilization of the Timoshenko beam by thermal effect (Q711445)
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scientific article; zbMATH DE number 5805942
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stabilization of the Timoshenko beam by thermal effect |
scientific article; zbMATH DE number 5805942 |
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Stabilization of the Timoshenko beam by thermal effect (English)
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26 October 2010
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The Timoshenko theory of a beam is an improvement of Euler-Bernoulli theory. When the rotation inertia and the transverse shear are significant in the beam model one has to use rather the Timoshenko theory. The authors consider a linear system of Timoshenko type in a bounded interval. The damping occurs through a termal effect by coupling the system with a heat equation. For such a system of differential equations, the authors obtain the main result of the paper: an exponential decay of the solutions.
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exponential decay
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Lyapunov functional
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linear system of Timoshenko type
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coupling with a heat equation
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