Stabilization of the Timoshenko Beam by Thermal Effect
Copyright policy )Stabilization of the Timoshenko Beam by Thermal Effect
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.
- Badji Mokhtar University Algeria
- King Fahd University of Petroleum and Minerals Saudi Arabia
Thermal effects in solid mechanics, Asymptotic behavior of solutions to PDEs, linear system of Timoshenko type, exponential decay, coupling with a heat equation, Rods (beams, columns, shafts, arches, rings, etc.), Lyapunov functional, Stability in context of PDEs, Thermodynamics in solid mechanics
Thermal effects in solid mechanics, Asymptotic behavior of solutions to PDEs, linear system of Timoshenko type, exponential decay, coupling with a heat equation, Rods (beams, columns, shafts, arches, rings, etc.), Lyapunov functional, Stability in context of PDEs, Thermodynamics in solid mechanics
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