Two Kinds Equal Frequency Circuits to Achieve Locally Resonant Band Gap of a Circular Plate Attached Alternately by Piezoelectric Unimorphs

A circular thin plate is proposed for vibration attenuation, which is attached alternately by annular piezoelectric unimorphs with resonant shunt circuits. Two kinds of equal frequency resonant shunt circuits are designed to achieve an integrated locally resonant (LR) band gap (BG) with a much smaller transmission factor: (1) the structure is arrayed periodically while the resonant shunt circuits are aperiodic; (2) the resonant shunt circuits are periodic while the structure is aperiodic. The transmission factor curve is calculated, which is validated by the finite element method. Dependences of the LR BG performance upon the geometric and electric parameters are also analyzed.