Abstract

The present work focuses on the harmonic control of plate vibration and radiation using distributed collocated piezoceramic units. The objective is to add virtual impedance units on the plate and to optimize its complex value for each frequency. In active damping (velocity feedback controllers), the added virtual impedance is equivalent to a resistive effect. In the present study, the added virtual impedance is chosen arbitrarily in the complex plane. Each added impedance unit is composed of a collocated PZT actuator and a PVDF sensor. This approach allows obtaining dual variables for harmonic control. In order to tune the PZT voltage at each frequency, the virtual impedance approach is implemented with a harmonic adaptive control. The stability is always ensured with a centralized processing, and for certain frequencies, a decentralized processing can be used. Preliminary theoretical study is carried out to assess the behavior of the smart panel for different added virtual impedances for a mechanical excitation by a shaker. Those numerical results are compared to experimental measurements performed in an anechoic chamber. Our proposed strategy compare favorably to common strategy of active damping to reduce harmonic sound radiation. Hence, a reduction of 20 dB can be achieved at certain frequencies.

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