A hybrid piezoelectric-magnetostrictive vibration absorber (HPMVA) with a mutual shunt circuit: modelling, optimisation and analytical solution

This paper introduces a novel hybrid piezoelectric-magnetostrictive vibration absorber (HPMVA) to enhance the performance of conventional electromechanical (or magneto-electromechanical) vibration absorbers. A proof-of-concept for HPMVA is introduced using analytical modelling and optimisation, highlighting its potential for enhanced vibration attenuation before experimental implementation. The HPMVA incorporates a piezoelectric (PZT) rod and a magnetostrictive (MAG) transducer coupled to a single-degree-of-freedom mechanical vibrating host structure. Both the PZT and MAG transducers are connected to a single resonating shunt circuit, creating an electro-magneto vibration absorber. The constitutive equations of motion for this system are derived, and its parametric receptance function is calculated. Utilising h _∞ optimisation techniques, the numerical results demonstrate that the attenuation performance of a tuned HPMVA consistently surpasses that of comparable PZT vibration absorbers (PVAs) and/or MAG vibration absorbers (MVAs). The paper also provides an analytical solution for the optimisation of the HPMVA, presenting comprehensive mathematical details. The optimum design is determined based on h _∞ optimisation and the equal-peak technique. Verification of the optimised design and optimum formulas confirms that within the practical range of PZT and MAG coupling factors, a tuned HPMVA can boost the absorber performance by up to 50% compared to similar PVAs and MVAs.