Low-frequency locally resonant band gaps induced by arrays of resonant shunts with Antoniou’s circuit: experimental investigation on beams

A periodic array of resistive inductive (RL) shunted piezoelectric (PZT) patches is applied to achieve tunable low-frequency locally resonant (LR) band gaps in a flexible isotropic beam. Each pair of surface-bonded PZT patches is linked to an independent RL circuit. All the circuits are the same and are tuned synchronously. A transfer matrix methodology is used to calculate the frequency range and attenuation properties of the LR band gap. Two main differences are found between the LR band gaps induced by shunting circuits and traditional oscillators. Antoniou's circuits are used to produce large ideal inductances necessary for low eigenfrequencies. The theoretical results are experimentally validated by measuring the harmonic response of the beam. Significant attenuation in the low-frequency LR band gap is observed.