The use of piezoelectric patches for actuation as a vibration control method has been widely investigated. Some of the uses for piezoelectric actuators include velocity feedback, synthetic impedance control, and a shunted sensor-actuator. Likewise, periodic structures have been shown to be effective in allowing the dissipation of travelling wave energy. The combination of these control procedures, an active periodic piezoelectric array, allows for enhanced vibration control. Presented here is the investigation of thin beam with 12 piezoelectric patch pairs. These patches will be shunted with varying selected impedances, specifically negative capacitive impedances, to allow for comparison of control ability. This comparison includes an analysis of spatial RMS velocity and numerical propagation constant.