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5 May 1995 Optimal design of enclosures for active noise control and isolation
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Optimization of the geometry and excitation voltage of a piezoelectric actuator embedded on a plate structure is studied to reduce the radiation of sound into the space above the plate when the plate is excited by the acoustic pressure field produced by a noise source located below the plate. In the more realistic case, one could consider the plate to comprise one wall of an enclosure containing a noise source. Finite element modeling is used for the plate structure that includes a full description of coupled fields in the piezoelectric actuator and elastic plate. Clamped boundary conditions are assumed in the calculations. The cost function for optimization is the sound energy radiated onto a hemispherical surface of given radius and the optimization parameters are the size of the rectangular PZT actuator (other shapes can also be considered) as well as the amplitude and the phase of the voltage applied to the PZT. Good results are obtained for both resonance and off resonance conditions. The optimization is robust enough that even if the pattern of the acoustic pressure field changes, the radiated sound is still minimized.
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Vasundara V. Varadan, Jae-Wan Kim, and Vijay K. Varadan "Optimal design of enclosures for active noise control and isolation", Proc. SPIE 2442, Smart Structures and Materials 1995: Mathematics and Control in Smart Structures, (5 May 1995);

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