Analytical model of cylindrical cross-section resonators in GaPO4 vibrating in torsional modes

摘要

A theoretical investigation of cylindrical cross-section GaPO4 vibrating beam resonators in torsional modes is given. Temperature effects are introduced by the approximate but classical method of varying effective material constants, beam dimensions and crystal mass density versus temperature. Temperature compensated cuts are presented. An equivalent Circuit model and analysis of coupling factor versus crystal orientation are also reported.