Calibration and Balancing of Multiple Tuned Mass Absorbers for Damping of Coupled Bending-Torsion Beam Vibrations

For damping of fully coupled beam vibrations, a three-component tuned mass absorber is proposed, consisting of two translational and a single-rotational absorber, which together target a specific vibration mode. The representation of the interaction with residual nonresonant vibration modes is consistently included by two supplemental terms in the absorber equation, calibrated by frequency matching with the full structural model for vanishing absorber damping. The absorber tuning directly includes these residual terms without approximation when the underlying modal representation is based on the vibration form with absorber masses rigidly attached to the structure. It is demonstrated that the desired damping behavior requires nonhomogeneous absorber balancing, obtained by an approximate method for the relative sizing of each absorber mass.