Abstract
We consider a simple model arising in the control of noise. We assume that the two-dimensional cavity Ω = (0,1) X (0,1) is occupied by an elastic, inviscid, compressible fluid. The potential Φ of the velocity field satisfies the linear wave equation. The boundary of Ω is divided into two parts Γ0 and Γ1 The first one, Γ0, is flexible and occupied by a Bernoulli-Euler beam. On Γ0 the continuity of the normal velocities of the fluid and the beam is imposed. The subset Γ1 of the boundary is assumed to be rigid and therefore, the normal velocity of the fluid vanishes. We analyse the possibility of changing the dynamics of the system by acting only on the flexible part of the boundary. The problems of stabilization, control and existence of periodic solutions are considered (the damping term, the control and the periodic non-homogeneous term respectively acting on Γ0 ).
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© 1999 Springer Science+Business Media Dordrecht
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Micu, S. (1999). Analysis of a Hybrid System for Noise Reduction. In: Holnicki-Szulc, J., Rodellar, J. (eds) Smart Structures. NATO Science Series, vol 65. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4611-1_24
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DOI: https://doi.org/10.1007/978-94-011-4611-1_24
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