Passive vibration suppression using 2-degree-of-freedom vibration absorber consisting of a beam and piezoelectric elements

This paper describes a piezoelectric two-degree-of-freedom vibration absorber. The piezoelectric 2 degree-of-freedom (DOF) vibration absorber consists of a beam-type dynamic vibration absorber with piezoelectric elements and an LR circuit. A translational 1-DOF vibration system and a continuous body were used as the host structure, and the governing equations were theoretically derived in this study to accurately estimate the mass ratio of the beam-type dynamic vibration absorber and the equivalent stiffness ratio of the piezoelectric elements. Using modal analysis, an equivalent and discrete 3-DOF vibration model was obtained, and it was proved that a conventional series-type double-mass dynamic vibration absorber can be equivalently transformed into a discrete 3-DOF vibration model of a piezoelectric 2-DOF vibration absorber when the optimum values are used. The optimum values of the proposed piezoelectric 2-DOF vibration absorber were obtained using this equivalent transformation and the exact optimum values of the conventional series-type double-mass dynamic vibration absorber. Because only the exact optimum values of mobility have been formulated in research conducted on a conventional seriestype double-mass dynamic vibration absorber, the quasi-optimum values under both compliance and accelerance were additionally obtained in the present study. In terms of optimization, the damping of the beam-type dynamic vibration absorber should be zero; however, it is nonnegligible in practice. Therefore, a retuning method considering the damping of the beam-type dynamic vibration absorber was briefly described. Finally, effectiveness of the proposed methods and a theoretical analysis was verified through simulations and experiments.

Automated summary

This paper presents a piezoelectric two-degree-of-freedom vibration absorber and provides theoretical analysis and experimental verification of its effectiveness.