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1 2007

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On the quasi optimal distribution of PZTs in active reduction of the triangular plate vibration

Branski A., Szela S.

Archives of Control Sciences

2007

Vol. 17, no. 4

427-437

Active reduction of transverse vibration of the triangular plate is considered. The C-F-F boundary conditions are imposed. The plate is excited with harmonic acoustic wave. Since it is unsymmetrical boundary problem, the places of bonded PZTs are not obvious. To solve the problem it is based on an idea, that PZTs should be attached at points in which the curvatures of the surface locally take their maximum (quasi-optimal places). Numerical experiments are performed to confirm the validity of the idea. The bending moment and shearing force at the clamped side are calculated for two cases. First case when PZTs are attached at quasi-optimal places and second one, when PZTs are somewhat shifted. The numerical calculations show that better results are obtained at the first case. It confirms the validity of the idea of quasi-optimal distribution of PZTs on the triangular plate surface in the vibration reduction problem.