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On Lagrangian methods in the analysis of piezoelectric resonators and sensors♣

B. DULMET1,* , Y. LAZAROV2

Affiliation

  1. FEMTO-ST, CNRS, Université of Franche Comté, Ecole Nationale Supérieure de Mécanique et des Microtechniques, 26 Chemin de l'Epitaphe 25000 Besançon, France
  2. Institute of Solid State Physics, Bulgarian Academy of Sciences, 72 Tzarigradsko Chaussee Blvd., 1784 Sofia, Bulgaria

Abstract

This paper illustrates the use of the so-called Lagrangian method for the modelling of resonant sensors. We put some emphasis on the embedding of the influence of temperature in the analytical modelling of miniature quartz temperature sensors of the strip-resonator type, developed for precise measurement of temperature over wide ranges. The model gives access to the influence of temperature on the frequency and the mode shape of these strip-sensors..

Keywords

Lagrangian configuration, Quartz resonators and oscillators, Resonant sensors, Nonlinear acoustics, Dispersive propagation.

Submitted at: Nov. 5, 2008
Accepted at: Sept. 9, 2009

Citation

B. DULMET, Y. LAZAROV, On Lagrangian methods in the analysis of piezoelectric resonators and sensors♣, Journal of Optoelectronics and Advanced Materials Vol. 11, Iss. 9, pp. 1150-1156 (2009)