Reduced order models for resonant viscosity and mass density sensors
Résumé
A generalized reduced order model for resonant viscosity and mass density sensors is presented and experimentally verified. Thereduced expressions for the resonance frequency and quality factor, respectively, are mathematically valid for in-plane oscillatingplates, oscillating spheres and laterally oscillating cylinders. However, as shown for measurements obtained with a tuning forkresonator with rectangular cross-section, the model can also be applied for resonating structures, for which closed form solutionsof the fluid structure interaction are not available. Benefits of the presented model are amongst others first, its simplicity, whichrequires no more than three calibration measurements for parameter identification and second, its general applicability for resonantmass density and viscosity sensors which furthermore facilitates the comparison of dierent resonant mass density and viscositysensors in terms of sensitivity and measurement noise propagation.
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