Abstract:
The band gap characteristics of two-dimensional triangular lattice phononic crystal of mass-in-mass periodic structure were studied based on the lumped parameter model. A two dimensional infinite complex triangular lattice system has been designed, and the fact that band gap can be artificially controlled by changing mass and stiffness has been proved by theory and numerical simulation. Finally, we have compared the band gaps of triangular lattice with honeycomb lattices. The results show that the dispersion curve of the crystal is not continuation in the frequency domain and have a full band gap. The external mass of crystal has the greatest influence on the band gap, and reducing the external mass can obtain the wide band gap. The band gap of triangular lattice is less than hexagonal honeycomb lattice, but its band gap width is wider. This lays a good foundation for further control of band gap.