Vibration isolation of mechatronic metamaterial beam with resonant piezoelectric shunting

Abstract

Mechatronic metamaterials are of utmost significance in vibration isolation owing to their tunable bandgaps. However, their intricate mechanisms are always challenging for environmental changing. In this study, a mechatronic metamaterial beam shunted with inductor–resistor–capacitor (LRC) shunting circuits is discussed, with the aim of obtaining tunable bandgaps. The tunable bandgap can be effectively used to achieve low-frequency vibration isolation by changing the selection of circuit parameters. The mechatronic metamaterial beam model is established using Hamilton's principle and Kirchhoff's law, and the dispersion relationship is derived by applying the transfer matrix method. An experimental rig of a mechatronic metamaterial beam is used to validate the analytical methods. The experimental results support the analytical results. Mechatronic resonant and Bragg bandgaps shown in the frequency response curves (FRCs) can block vibration transmission, thus achieving vibration isolation within a certain frequency range. Parameters studies are conducted to illustrate how the mechanic and electric parameters affect the bandgaps. It is found that the electric parameters affect the position of the mechatronic local resonant bandgap in the FRCs. Thus, low-frequency isolation can be achieved by choosing the appropriate electric parameters.