title: Temperature-compensated cuts for length-extensional and flexural vibrating modes in GaPO4 beam resonators.
abstract: Flexural modes are the basic vibrating mode of tuning forks used in quartz wrist watches; they also can be used as the basis for sensors. Very little work, if any, has been done for vibrating beam resonators in GaPO4. In this paper, the possibility of temperature-compensated cuts in GaPO4 is investigated for length-extensional and flexural vibrating modes. A theoretical investigation of rectangular cross-section GaPO4 vibrating beam resonators is accomplished by analytical methods. Modeling temperature effect is achieved by the approximate but classical method in which the effective elastic constants, beam dimensions, and crystal mass density are varied as a function of temperature. Temperature-compensated cuts are given in GaPO4 for length-extensional and flexural modes. Some temperature-compensated cuts of GaPO4 exhibit inversion points at high temperatures.
authors.affiliation: FEMTO-ST Institute, Department LCEP, Ecole Nationale Supérieure de Mécanique et des Microtechniques, 25030 Besançon Cedex, France.
authors.forename: Laurent
authors.initials: L
authors.lastname: Delmas
authors.forename: Fabrice
authors.initials: F
authors.lastname: Sthal
authors.forename: Emmanuel
authors.initials: E
authors.lastname: Bigler
authors.forename: Bernard
authors.initials: B
authors.lastname: Dulmet
authors.forename: Roger
authors.initials: R
authors.lastname: Bourquin