2Université Lille Nord de France (COMUE) (COMUE Communauté d'universités et établissements Lille-Nord-de-France -
- 365 bis, rue Jules Guesde BP 50458 - 59658 Villeneuve d’Ascq Cedex
- (A succédé au PRES Université de Lille Nord de France) - France)
Abstract : The frequency spectrum of a partially metallized piezoelectric disc resonator was studied using Legendre polynomials. The formulation, based on three-dimensional equations of linear elasticity, takes into account the high contrast between the electroded and non-electroded regions. The mechanical displacement components and the electrical potential were expanded in a double series of orthonormal functions and were introduced into the equations governing wave propagation in piezoelectric media. The boundary and continuity conditions were automatically incorporated into the equations of motion by assuming position-dependent physical material constants or delta-functions. The incorporation of electrical sources is illustrated. Structure symmetry was used to reduce the number of unknowns. The vibration characteristics of the piezoelectric discs were analyzed using a three-dimensional modelling approach with modal and harmonic analyses. The numerical results are presented as resonance and anti-resonance frequencies, electric input admittance, electromechanical coupling coefficient and field profiles of fully and partially metallized PIC151 and PZT5A resonator discs. In order to validate our model, the results obtained were compared with those published previously and those obtained using an analytical approach.
https://hal-uphf.archives-ouvertes.fr/hal-03120077 Contributor : Julie CagniardConnect in order to contact the contributor Submitted on : Monday, July 4, 2022 - 4:50:09 PM Last modification on : Friday, July 8, 2022 - 11:51:31 AM