Controllability of the Kirchhoff System for Beams as Limit of the Mindlin-timoshenko One
نویسنده
چکیده
We consider the dynamical one-dimensional Mindlin-Timoshenko system for beams. We analyze how its controllability properties depend on the modulus of elasticity in shear k. In particular we prove that the exact boundary controllability property of the Kirchhoff system may be obtained as singular limit, as k → ∞, of the partial controllability of a sharp subspace of low frequency components of the Mindlin-Timoshenko one. It is also shown that, due to the behavior of the high frequency components, the exact controllability property becomes instable as k → ∞. Therefore, the filtering of high frequencies is necessary.
منابع مشابه
Existence and Boundary Stabilization of the Semilinear Mindlin-Timoshenko System
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