新形状輪郭すべり水晶振動子の振動解析

概要

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This paper describes a vibration analysis of a new shape face shear mode quartz crystal resonator consisting of a vibrational portion and two supporting portions. An object of this paper is to propose a new shape face shear mode quartz crystal resonator and to clarify its frequency characteristics, frequency temperature behavior, and electrical characteristics. In analysis procedure, first, equations of motion for the resonator consisting of the vibrational portion and the two supporting portions are derived from an energy method. The obtained partial differential equations are solved by using Galerkin's method and displacements obtained from the experiments of motional inductance L_1, and the frequency equation is calculated. Second, resonant frequency, frequency temperature characteristics, and electrical various characteristics are analyzed by utilizing the frequency equation and/or the displacements. Finally, these calculated results are compared with the experimental values. As a result, it is shown that the present resonator has a low series resistance and a high quality factor with zero temperature coefficients, even if the supporting portions are added and connected to the vibrational portion.
社団法人日本時計学会の論文
1989-06-20