Robust smart periodic truss

Smart and periodic structures have received the attention of researchers by virtue of their great potential. These structures have powerful properties like adaptiveness and the ability to operate as mechanical filters. Although, the presence of uncertainties must be taken into account to guarantee robustness. Thus, a finite element model is proposed to elucidate the importance of stochastic aspects and to present the concept of robust frequency bandgap. The smart part consists of piezoelectric actuators connected to resonant circuits in a tridimensional truss unit cell. The periodic part is the replication of this cell to assemble the final structure. Floquet/Bloch conditions are used to model the infinite representation. Then, a Monte Carlo Simulation is carried out and the bandgaps' bounds are analyzed considering frequency responses and dispersion diagrams. The goal being to evaluate the influence of uncertainties affecting the prediction of the attenuation zones. Likewise, the consequences of increasing the uncertainty level are evaluated.