Reduced order models for resonant viscosity and mass density sensors

•A generalized model for the resonance frequency and the quality factor of a resonant viscosity and mass density sensor is derived.•The presented model requires not more than three measurements in calibration liquids.•The model is experimentally verified and yields overall relative accuracies better...

Full description

Saved in:
Bibliographic Details
Published in:Sensors and actuators. A. Physical. 2014-12, Vol.220, p.76-84
Main Authors: Heinisch, M., Voglhuber-Brunnmaier, T., Reichel, E.K., Dufour, I., Jakoby, B.
Format: Article
Language:English
Subjects:
Cylinder
Density
Engineering Sciences
Exact solutions
Lumped element model
Mathematical models
Micro and nanotechnologies
Microelectronics
Oscillating
Parameter identification
Plate
Reduced order models
Resonant sensor
Sensors
Sphere
Tuning
Tuning fork
Viscosity
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:•A generalized model for the resonance frequency and the quality factor of a resonant viscosity and mass density sensor is derived.•The presented model requires not more than three measurements in calibration liquids.•The model is experimentally verified and yields overall relative accuracies better than 3.3*10-2for the quality factor and 1.7*10-3for the resonance frequency.•The model can also be applied for resonators other than plates, spheres and cylinders. A generalized reduced order model for resonant viscosity and mass density sensors is presented and experimentally verified. The reduced expressions for the resonance frequency and quality factor, respectively, are mathematically valid for in-plane oscillating plates, oscillating spheres and laterally oscillating cylinders. However, as shown for measurements obtained with a tuning fork resonator with rectangular cross-section, the model can also be applied for resonating structures, for which closed form solutions of the fluid structure interaction are not available. Benefits of the presented model are amongst others first, its simplicity, which requires no more than three calibration measurements for parameter identification and second, its general applicability for resonant mass density and viscosity sensors which furthermore facilitates the comparison of different resonant mass density and viscosity sensors in terms of sensitivity and measurement noise propagation.
ISSN:0924-4247
1873-3069
DOI:10.1016/j.sna.2014.09.006