The effects of the rod rotation on the band gaps of a two-dimensional piezoelectric phononic crystal

In this paper, we study the band gap properties of two-dimensional piezoelectric phononic crystals with {1-3} connectivity family, in which piezoelectric rods with a square cross-section are embedded in a polymer matrix in a square lattice. The finite element method is applied to calculate the band structures of two polarization modes: the shear mode out-of-plane and the mixed mode in-plane. The effects of the rod rotation on the band gaps are discussed. The numerical results illustrate that the rotation of the square rods have significantly impacts on the band gap.