Multifunctional Vibration-Frequency Measuring Transducer of Force with Cylindrical Resonator

Abstract

We propose a mathematical model of a multifunctional vibration-frequency measuring transducer of force with a cylindrical resonator. The resonator consists of an electromagnetic exciter and an induction receiver of oscillations. We present relations for the optimal form of longitudinal and transverse oscillations of the resonator, at which maximum sensitivity to the controlled parameter is reached and the energy spent on excitation of oscillations of the resonator is minimized. The signal-to-noise ratio, which takes into account the design parameters of the receiver and the oscillating agent, is obtained. The universal characteristic of the vibration-frequency measuring transducer of oscillation frequency with a cylindrical resonator is found.