A virtual implementation method is proposed to emulate the effect of passive piezoelectric shunt damping. A controller having a set of second-order dynamic equation and measurement equation is designed and the feedback structure according to the LR series shunt circuit is developed by using the governing equations of piezoelectric shunt damping system, the set of equations does not represent any physical system, the inductor and the resistor only "exist" as numerical representations inside the controller, the closed-loop control system is stable or asymptotically stable. The virtual implementation method can both eliminate the need for large inductor and adjust circuit component parameters online to adapt to environmental changes, therefore the two disadvantages of the physical piezoelectric shunt damper are overcome, also the feedback gain can be adjusted to implement the a better vibration control effect than the physical piezoelectric shunt damper. The simulation results for a cantilever beam show the effectiveness of the virtual piezoelectric shunt damper for vibration suppression.