In this work an analytical model for the computation of thermoelastic losses for piezoelectric resonant rings vibrating in flexural mode is presented. The analytical model is based on the classic dynamic balance equations for ring structures [1] and considers the constitutive equations for piezoelectric and pyroelectric materials. The approximations of this work are based on the recent analysis for thermoelastic beams by Lifshitz and Roukes [6] and its application to isotropic rings in [10] and [11]. This work shows that for isotropic thermoelastic materials the ultimate Q-factor is determined by the geometry of the vibrating ring. However, for piezoelectric and pyroelectric materials the Q-factor is penalized by 15%.

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