Concepção robusta de circuitos elétricos Shunt multimodais para o controle passivo de vibrações de estruturas compostas

Abstract

This paper is dedicated to the numerical and computational modeling of composite structural plate like-structures incorporating piezoelectric elements to be coupled with multimodal shunted circuits with the aim of passive vibrations attenuation, taking into account the parametric uncertainties which influence the performance of the circuits. Also, in the design procedure, deterministic and robust multiobjective optimization strategies will be considered in order to obtain the optimal-robust shunt circuits by introducing, during the optimization, supplementary vulnerability functions to be considered during the optimization, by using metamodels. In the context of the finite element modeling procedure, emphasis is placed on the combination of the equivalent single layer theory and the so-named First-Order Shear Deformation Theory (FSDT) with Layerwise functions taking into account the discrete electrical fields for piezoelectric patches. The considered finite element based modeling methodology has been implemented computationally by using the commercial available MATLAB programming code. Thus, based on the available computational programs it is possible to construct a robust-optimal multimodal shunt piezoelectric circuit to be applied in a more complex composite engineering system of industrial interest for vibration abatement. The numerical results obtained for a composite beam like-structure with and without robust shunt circuit demonstrate the performance of the shunt circuits to reduce the undesirable vibrations of engineering structures and put in evidence the necessity of considering parametric uncertainties during the optimization process.