Vibration Control of Plates Featuring Periodic Arrays of Hybrid Shunted Piezoelectric Patches

Periodic arrays of hybrid shunted piezoelectric actuators are used to suppress vibrations in an aluminum plate. Commonly, piezoelectric shunted networks are used for individual mode control, through tuned, resonant RLC circuits, and for broad-band vibration attenuation, through negative impedance converters (NIC). Periodically placed resonant shunts allow broadband reduction resulting from the attenuation of propagating waves in frequency bands which are defined by the spatial periodicity of the array and by the shunting parameters considered on the circuit. Such attenuation typically occurs at high frequencies, while NICs are effective in reducing the vibration amplitudes of the first modes of the structure. The combination of an array resonant shunts and NICs on a two-dimensional (2D) panel allows combining the advantages of the two concepts, which provide broadband attenuation in the high frequency regimes and the reduction of the amplitudes of the low frequency modes. Numerical results are presented to illustrate the proposed approach, and frequency response measurements on a cantilever aluminum plate demonstrate that an attenuation region of about 1000Hz is achieved with a maximum 8 dB vibration reduction.