Band gap structure analysis of phononic crystal rods with hybrid shunted piezoelectric patches

The band gap structure by arranging hybrid shunted piezoelectric materials with resistance inductive (RL) circuit and negative impedance converter (NIC) closely and at intervals is presented. The theoretical model is built using transfer matrix method. Then the MATLAB is utilized to simulate the band gap structures. Meanwhile, the effect of the resistance, inductance and capacitance on the local resonant gap are studied. By comparing different combinations of resistance, inductance and capacitance as well as different arrangement of circuits, a 13 kHz band gap is reached under the effect of arranging hybrid periodic shunted piezoelectric patches at intervals and the stability of the system is also analyzed. It is shown that utilizing hybrid shunted piezoelectric patches will have a clear impact on the band gap structure of phononic crystal rods. Moreover, the band gap can be clearly enlarged by arranging hybrid piezoelectric patches at intervals.