Study on Band Structure and the Mechanism of Two-dimensional Phononic Crystal with Boundary Rigid Constraints

摘要

Paper studies the band structure changing with the matrix density and elastic modulus of the two-dimensional phononic crystal in a square and circular rigid constraint boundary conditions, and the spring quality equivalent model theory is proposed. The research results show that the boundary constraint phononic crystal, the change of the band structure is the result of joint action both inside and outside boundary equivalent mass spring model. Boundary constraint phononic crystal band structure parameters and the change rule of research, provide a theoretical basis for a particular cutoff frequency phonon crystal design principles, which has guiding significance for the engineering control of low-frequency vibration noise.