The operation principle of the double-ended tuning fork
quartz resonator as a gyro sensor is shown in Fig. 3, where the
gyro sensor detects the angular velocity Ωz. This gyro sensor
uses two flexural vibration modes in the horizontal x-y plane.
The driving mode is the first symmetric mode of the flexural
vibration in the horizontal x-y plane that is piezoelectrically
driven, as shown in Fig. 3(a). When the angular velocity Ωz
of the z-axis rotation is applied to the resonator, the Coriolis
forces Fc(y) proportional to the vibration velocity vx(y) and
the angular velocity Ωz are generated in the y-axis direction,
as shown in Fig. 3(b). Therefore, the moments Mc of rotation
are generated at both ends of the driving part because the
Coriolis force Fc acts on both arms in the opposite directions.
By these moments Mc, the displacements in the x-direction
are caused at the detection parts.
The operation principle of the double-ended tuning forkquartz resonator as a gyro sensor is shown in Fig. 3, where thegyro sensor detects the angular velocity Ωz. This gyro sensoruses two flexural vibration modes in the horizontal x-y plane.The driving mode is the first symmetric mode of the flexuralvibration in the horizontal x-y plane that is piezoelectricallydriven, as shown in Fig. 3(a). When the angular velocity Ωzof the z-axis rotation is applied to the resonator, the Coriolisforces Fc(y) proportional to the vibration velocity vx(y) andthe angular velocity Ωz are generated in the y-axis direction,as shown in Fig. 3(b). Therefore, the moments Mc of rotationare generated at both ends of the driving part because theCoriolis force Fc acts on both arms in the opposite directions.By these moments Mc, the displacements in the x-directionare caused at the detection parts.
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