Analysis on vibration characteristics of large-size rectangular piezoelectric composite plate based on quasi-periodic phononic crystal structure

Based on the theory of composite materials and phononic crystals (PCs), a large-size rectangular piezoelectric composite plate with the quasi-periodic PC structure composed of PZT-4 and epoxy is proposed in this paper. This PC structure can suppress the transverse vibration of the piezoelectric composite plate so that the thickness mode is purer and the thickness vibration amplitude is more uniform. Firstly, the vibration of the model is analyzed theoretically, the electromechanical equivalent circuit diagram of three-dimensional coupled vibration is established, and the resonance frequency equation is derived. The effects of the length, width, and thickness of the piezoelectric composite plate at the resonant frequency are obtained by the analytical method and the finite element method, the effective electromechanical coupling coefficient is also analyzed. The results show that the resonant frequency can be changed regularly and the electromechanical conversion can be improved by adjusting the size of the rectangular piezoelectric plate. The effect of the volume fraction of the scatterer on the resonant frequency in the thickness direction is studied by the finite element method. The band gap in X and Y directions of large-size rectangular piezoelectric plate with quasi-periodic PC structures are calculated. The results show that the theoretical results are in good agreement with the simulation results. When the resonance frequency is in the band gap, the decoupling phenomenon occurs, and then the vibration mode in the thickness direction is purer.     

声子晶体结构在功率超声换能器中的应用*

该文提出了一种二维声子晶体结构模型,并将该模型应用于横向尺寸较大的功率超声换能器的前盖板中,避免了形成耦合振动对换能器的影响,从而优化了该类换能器的工作性能。首先设计了一种具有近周期性结构的圆柱形孔的前盖板,然后研究了声子晶体结构前盖板散射体的半径大小和高度对换能器共振频率以及前盖板带隙的影响。结果表明,随着散射体半径和高度的增大,换能器的共振频率会随之发生改变,带隙范围也在发生变化,可以通过调节使换能器的共振频率处于声子晶体的带隙范围内,可以有效抑制换能器的横向振动。