SPECTRAL MODELS OF HONEYCOMB STRUCTURES COUPLED TO PIEZOELECTRICS WITH SHUNT CIRCUIT FOR VIBRATION CONTROL AND ATTENUATI
Metastructure; Metamaterial; Passive Vibration Control; Piezoelectrics; Shunt Circuits; Spectral Element Method; Honeycomb; Rainbow
The use of metastructures combined with the functionalities of smart materials enables the innovation of functional materials from the class of smart metamaterials and smart metastructures. Some of these metastructures use piezoelectric materials (PZT) that modify the structure’s stiffness and damping properties by adding circuits with different configurations. Passive PZT controls with shunt circuits are generally realized using capacitive, inductive, and resistive circuit topographies. Several configurations are available, and each type of shunt circuit can influence the behavior of vibrations and wave propagation of a structure in a specific way. Based on these concepts, this work explores the application of such control in three metastructures, a beam, a hexagonal cell and a honeycomb plate. These structures are equipped with layers of PZTs containing shunt circuits in resistive (R), inductive (L), capacitive (C), inductive-capacitive (LC), resistive-inductive (RL), resistive-inductive-capacitive (RLC) configurations), multi-impedance (multishunt) and rainbow (rainbow or graded). For the mathematical and analytical modelling of these metastructures, the Spectral Element Method (SEM) was used. These spectral models extracted the Frequency Response Functions (FRF) of the metastructures to present a dynamic analysis of the studied systems. The results show that the adopted spectral formulation and the implementation of passive control using shunt circuits are adequate to enable vibration control projects in metastructures. The control of the structures proved effective for attenuating and mitigating vibrations in the design frequency ranges.