Abstract

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 non-resonant 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 behaviour require non-homogeneous absorber balancing, obtained by an approximate method for the relative sizing of each absorber mass.

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