This paper presents simulation results on the flexural vibration of a plate structure equipped with
piezoelectric patches connected to multi-resonant shunts tuned to control the response in a target frequency
band. The multi-resonant shunts are made by multiple resistor-inductor-capacitor (RLC) branches. The RLC
components in each branch are tuned with a mapping procedure, which sets in turn each branch to maximise
the electric power absorbed by the shunts with respect to the resonant response of a specific flexural mode
of the structure. The study first shows preliminary tuning considerations for simple RL and RLC shunt
configurations. It then proceeds to show the equivalence of performance indicators given by the
maximisation of the time-averaged electric power absorption by the shunts and the minimisation of the timeaveraged
kinetic energy associated to the resonant response of target flexural modes of the plate. Finally it
shows the global vibration control performance produced by the proposed multi-branch shunt.
