Modeling and Characterization of Magnetoelastic Resonator System for Viscosity Sensing Applications

Abstract

This paper introduces an equivalent electrical circuit model in air for magnetoelastic resonator system. The whole system are expressed with impedance Z including AC excitation coil, coupling factor, demagnetizing factor, magnetization of material and magnetization. Especially, coupling factor and demagnetizing factor are depicted as a transformer winding ratio η and k respectively. Also in this paper, an equivalent circuit in viscous loading is introduced. The fact that additional circuit because of surface loading can be added directly to magnetoelastic resonator model without modifying the model is verified by modeling and equation. Furthermore, when various surface loading is applied simultaneously to the magnetoelastic resonator, adding equivalent circuit in series describes the behavior of the resonator. The case studies based on magnetoelastic resonator operating at several geometries, DC field condition and kinematic viscosity are discussed for verification of suitability of the proposed modeling for describing behavior or magnetoelastic resonator system.