水晶音叉先端部の金属付加質量による共振周波数への影響

概要

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This paper describes the influence on resonant frequency for a flexural mode quartz crystal resonatior of tuning frok-type due to weights deposited on two arms. The objective of this paper is to clarify theoretically and experimentally a relationship of resonant frequency for fundamental and second overtone versus the weights deposited on the arms. An analysis is performed under the boundary condition of "clamped-free" because a flexural mode resonator of tuning frok-type can be regarded as a cantilever. A frequency equation and a transcendental equation are derived from the condition that width of the resonator is much smaller than length, namely, rotary inertia and shear force are neglected in this analysis. From the equations,a relationship of resonant frequency for fundamental and second overtine to the weights is calculated theoretically, so that the resonant frequency for fundamental is found to decrease markedly, as a length ratio and thickenss of the weights increase, while the resonant frequency for second overtone behaves different from that for fundamental to a variation of L_21.
社団法人日本時計学会の論文
1993-09-25