Parametric investigation of a piezoelectric tuned dynamic vibration absorber

Abstract

Dynamic vibration absorbers, which are attached as secondary subsystems on primary systems, are passive devices that are used to suppress the vibrations of primary systems. The idea is well-known and proven by many researchers, and it was first introduced by Ormondroyd and Den Hartog in 1928. Nowadays, the different versions of dynamic vibration absorbers are developed. In this study, piezoelectric tuned dynamic vibration absorbers which are one of these versions of dynamic vibration absorbers are investigated. The classical dynamic vibration absorber model is extended with an attachment of a piezoelectric transducer. Hence an electromechanical system model is developed. Furthermore, the chief objective of this study is to investigate the effects of system parameters on the vibration absorption performance of the proposed piezoelectric tuned dynamic vibration absorber. Especially, effects of resistance and inductance on system are determined. The model developed in this study consists of a primary structure attached to common ground via a linear elastic and dissipative path. The secondary system is directly attached on the primary structure through the piezoelectric transducer with the external shunt circuit. Though, the mechanical stiffness and damping characteristics of the piezoelectric transducer are also considered. Hence, when the effect of piezoelectric transducer is off, the system behaves like a classical dynamic vibration absorber. First, the governing multi-physics equations are obtained and numerically solved for both classical and shunted systems. The results are investigated in both time and frequency domains, and the differences between the dynamic responses of both systems are observed. The investigation is conveyed mainly on the vibratory motion of the primary structure. Second, the coefficients of the electrical resistance and inductance on the shunt circuit are altered at given interval, and the effect of these element on vibration absorption performance of the tuned dynamic vibration absorber is investigated. In conclusion, the system parameters that leads to a maximum vibration attenuation on the primary system are obtained.