This paper presents a simulation study on the control of flexural vibration in a thin rectangular plate, which is equipped with a pair of collocated piezoelectric patches connected to a shunt composed by a resistor and an inductor in parallel. The piezoelectric patches are bonded on opposite sides of the plate to form a symmetric laminate. The study is organised in two parts. The first part derives the optimum values for the resistance and inductance of the shunt to control the response of the first flexural mode of the panel. This is done either with a classical analytical formulation that neglects the effects of higher order flexural modes and the effect of structural damping or with a matrix formulation that takes into account the effects of higher order modes and the effect of structural damping. The second part presents a parametric study to assess how the control performance varies with the surface dimension and the thickness of the pair of piezoelectric patches. The study shows that the classical approach used to find the optimal tuning of the shunt parameters is inadequate and, instead, the fully coupled matrix formulation should be used. Also, it shows that, when the shunt is tuned to control the resonant response due to the first flexural mode of the plate, the control performance tends to rise as the surface dimension of the patches is increased and reaches a maximum value when the thickness of the two patches is about half the thickness of the plate.
