Optimization of the finite hybrid piezoelectric phononic crystal beam for the low-frequency vibration attenuation 2020-01-0913
This paper presents a theoretical study of a finite hybrid piezoelectric phononic crystal (PC) beam with shunting circuits. The vibration transmissibility method (TM) is first developed for the finite system. The symmetric and asymmetric configurations of the piezoelectric patches are both considered. The properties of the band-gap and vibration attenuation are then illustrated for different locations of the piezoelectric patches. Taking the structural and circuit parameters into account, the design of experiments (DOE) is applied to select several important design variables. On this basis, the multi-objective genetic optimization algorithm is proved to be effective to improve the vibration attenuation. The hybrid piezoelectric PC combines the purely mechanical PC with the piezoelectric PC and provides more tunable mechanisms for target band-gaps. It is promising to reduce the low-frequency vibration and noise of the vehicle body structure.