Improved modeling of rods with periodic arrays of shunted piezoelectric patches

This work improves the modeling of rods with periodic arrays of shunted piezoelectric patches. The modeling method abandons the previous incorrect assumptions and leads to a more precise result. A numerical investigation is based on an epoxy host rod with a periodic array of resistive-inductive shunted piezoelectric patches. The bandgaps are predicted by the application of Bloch theorem and transfer-matrix method. The results show that the boundary frequencies and attenuation extents both have some difference between the predications of the two models. In particular, the maximum attenuation in the locally resonant gap is much smaller in the result of the improved model.