Piezoelectric-Magnetostrictive Vibration Absorbers: Modelling and Optimisation

In this research, a new type of hybrid vibration absorber termed as the Piezoelectric-Magnetostrictive Vibration Absorber (PMVA) is introduced. The mathematical governing equations are derived and the parametric receptance function of the host strucutre is developed. The
$h_{\infty}$
optimisation is employed to tune the resonating shunt circuits, attached to the piezoelectric and magnetostrictive elements of the absorber using the equal-peak method. An improved dynamic coupling between the PMVA and the host structure is achieved. The performance enhancement is confirmed by the numerical results, demonstrating that the performance of the introduced PMVA could be enhanced by at least 19% in passive vibration control of the host structure compared to that of typical piezoelectric or magnetostrictive vibration absorbers. The optimum parameters of the shunt circuits at different coupling conditions are presented, which can be used for further applications of this new type of absorber.