Improved Determination of Q Quality Factor and Resonance Frequency in Sensors Based on the Magnetoelastic Resonance Through the Fitting to Analytical Expressions.

Beatriz Sisniega,Virginia Muto,Alfredo García-Arribas,Jon Gutiérrez

doi:10.3390/ma13214708

Beatriz Sisniega, Virginia Muto + Show 2 more

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https://doi.org/10.3390/ma13214708

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Abstract

The resonance quality factor is a key parameter that describes the performance of magnetoelastic sensors. Its value can be easily quantified from the width and the peak position of the resonance curve but, when the resonance signals are small, for instance when a lot of damping is present (low quality factor), this and other simple methods to determine this parameter are highly inaccurate. In these cases, numerical fittings of the resonance curves allow to accurately obtain the value of the quality factor. We present a study of the use of different expressions to numerically fit the resonance curves of a magnetoelastic sensor that is designed to monitor the precipitation reaction of calcium oxalate. The study compares the performance of both fittings and the equivalence of the parameters obtained in each of them. Through these numerical fittings, the evolution of the different parameters that define the resonance curve of these sensors is studied, and their accuracy in determining the quality factor is compared.

Highlights

Magnetoelastic resonance sensors are usually made of amorphous, ribbon-shaped ferromagnetic alloys [1]
Through the numerical fitting of these curves, we have studied the evolution of the different parameters that define the resonance curve as the precipitation reaction progress, which provides a better understanding of the effect that the changes of mass in the sensor and damping have on the resonance signal obtained
We propose to use a frequency response fitting method to determine the quality factor and other parameters that characterize the resonance curves

Summary

Introduction

Magnetoelastic resonance sensors are usually made of amorphous, ribbon-shaped ferromagnetic alloys [1]. Magnetostriction in these materials provides a strong coupling of their magnetic and mechanical properties, so that when an external alternating magnetic field is applied to a magnetoelastic ribbon, elastic waves are induced in it. Matching the physical dimensions and elastic properties of the material used in the sensor, the phenomenon of magnetoelastic resonance occurs at specific frequencies that can be expressed as: s E n fn = (1). Magnetoelastic sensors have been used to measure a main part of different sensing systems [2]. Magnetoelastic sensors have been used to measure several environmental environmental parameters parameterssuch suchas as pressure, pressure, humidity humidity or or temperature temperature [3,4],

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