Vibration Control with Periodic Structures

Abstract

Within the framework of periodic structures, the calibration of RL shunted piezoelectric inclusions is investigated with respect to maximum damping of a particular wave form. A finite element setting is assumed, with local shunted inclusions inside the unit cell. The effect of the shunts is represented for a targeted wave form, characterized by its short-circuited eigenvalue problem and two correction coefficients, representing the influence from residual modes, not addressed by the supplemental damping. Calibration formulae are finally derived for the shunt inductance L and resistance R. The presentation contains dispersion diagrams and vibration amplitude curves for the optimally calibrated RL shunt system in a 1-D periodic structure with local piezoelectric inclusions.