結合した屈曲捩り振動子の電気的等価回路と負荷容量依存性の理論的解析

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This paper describes a theoretical analysis on the electrical equivalent circuit and the dependence of load capacitance for the coupled flexural-torsional quartz crystal resonator. It is well known that the flexural-torsional quartz crystal resonator has a cubic curve in frequency temperature characteristics. First of all, it is conceivable that a flexural-torsional quartz crystal resonator is a resonator where electrical coupling and elastic internal coupling coexists, and the coupling of both vibrations is examined as capacitance coupling. Next, the load capacitance C_L is connected to the obtained electrical equivalent circuit in series, and furthermore the electrical equivalent constants are calculated as a function of C_L by performing circuit transformation. Particularly, the examination of C_L dependence for coupling capacitance is made, and also the detailed examination of the influence in frequency temperature characteristics is made. As a result, as C_L increases, the first order temperature coefficient α increases. In particular, as C_L becomes small, change rate of α against C_L becomes large. From this, it is shown that α can be made equal to almost zero by the choice of C_L.
社団法人日本時計学会の論文
1987-09-20