The Existence of Simultaneous Bragg and Locally Resonant Band Gaps in Composite Phononic Crystal

The band structure and transmission coefficient of the two-dimensional ternary locally resonant phononic crystal are computed by the finite element method with the calculated frequency up to 120 kHz. The band gap in the high frequency range is found and considered as the Bragg band gap in the locally resonant phononic crystal which has the locally resonant band gap in the low frequency range normally. Then, a composite phononic crystal by hybridizing the Bragg scattering phononic crystal and the locally resonant phononic crystal is proposed. Simultaneous Bragg and locally resonant band gaps are displayed and discussed for the composite phononic crystal. The results show that the simultaneous Bragg band gap and locally resonant band gap can be tuned.