Modal analysis and harmonic response of resonators: An extension of a mapped orthogonal functions technique |
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Authors: | L Elmaimouni E Lefebvre FE Ratolojanahary Raherison T Gryba J Carlier |
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Institution: | a Univ Lille Nord de France, F-59000 Lille, Franceb ERSITA, Faculté Polydisciplinaire d'Ouarzazate, Université Ibn Zohr, 45000 Ouarzazate, Moroccoc UVHC, IEMN-DOAE, 59313 Valenciennes Cedex 9, Franced CNRS, UMR 8520, F-59650 Villeneuve d'Ascq, Francee LAPAUF, Université de Fianarantsoa, 301 Fianarantsoa, Madagascar |
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Abstract: | A mapped orthogonal functions technique is extended for solving three-dimensional acoustical wave problems with taking into account electrical sources. For validation and illustration purposes, it is applied to the determination of the frequency spectrum of a piezoelectric disc resonator. Formulation is given for the calculation of the electric input admittance along with specializations for open- and short-circuit boundary conditions. In view of validation, normal frequencies and electric input admittance are obtained for specific geometries where a one-dimensional analytical model is working and compared against results from the analytical approach. Illustrative results, dispersion curves for a PZT5A resonator and electromechanical coupling coefficients as a function of the diameter to thickness ratio for the first radial mode of a respectively PZT5A, AlN and SiC resonator are also given. |
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Keywords: | Sensors Polynomial Modeling Resonators MEMS NDE and industrial applications |
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