It is well-known that the structural vibration can be reduced by using piezoelectric shunt resonant damping techniques. To achieve optimal control performance, the natural frequency of the shunt circuit should be close to the targeted natural frequency of the vibrating structure. In the low frequency range, a high value inductance (several or dozens of henrys) are required. The inductance simulators are typically used by using operational amplifiers, such as the Antoniou circuit. In this paper, the active inductance simulators based on second generation current conveyor (CCII) is used to design the piezoelectric shunt circuit. The effectiveness of the traditional inductance simulators and CCII based simulators is discussed and compared. Finally, with an example of clamped rectangular panel, the vibration control performances based on RL series circuit with different inductance simulators are experimentally analyzed and compared. Experimental results show that the vibration of the structure can be reduced significantly by using these shunt circuits with optimal parameters. Furthermore, it is found that the piezoelectric shunt circuit based on CCII inductance simulator has better control performance than traditional one.