Abstract：A hybrid elastic metamaterial beam is designed to achieve broadband low-frequency vibration attenuation, in which the mechanical resonator and the piezoelectric shunt resonator with negative capacitance in series are respectively placed on the upper and lower sides of the substrate. Based on the transfer matrix method, a theoretical model is established to calculate the dispersion relation and dynamic effective parameters of the hybrid metamaterial beam, which is verified by the finite element method. The tunning mechanism of the circuit parameters on bandgaps of the hybrid metamaterial beam was studied by theoretical model. The vibration attenuation of the hybrid meta-structure was studied by the finite element method. Furthermore, the interaction between the two resonators was analyzed through comparing with the bandgaps of metamterials only with a single resonator. The results show that the circuit parameters mainly affect the position, width and vibration attenuation coefficient of the bandgap produced by the piezoelectric shunt resonator. In addition, the overlapping region of the two bandgaps produced by two resonators is not always the passband. Moreover, the two resonators will influence each other due to the adjacent negative dynamic effective stiffness ranges. This investigation will provide reference for the design of such hybrid metamaterial.
2022, Vol. 43 
