Abstract

In this paper, a continuum electromechanical model of a Langevin ultrasonic transducer is developed considering acoustic losses of contact surfaces. The calculated energy losses between components of a transducer are considered as loss modulus of backing and matching parts. Considering the losses, the calculated vibrations amplitude of the transducer is matched to measured values. In addition, the calculated frequency response of the electrical admittance of the transducer is in good agreement with experimental results. The errors of calculated resonant frequency, anti-resonance frequency and amplitude of vibrations compared to the experimental results are 0.02%, 0.03%, 4.5% respectively. The values of the electrical admittance in the resonant and anti-resonant frequency have errors of 2.7%, 9.5% compared to empirical results. The developed model, fixes the drawback of previous models to anticipate amplitude of vibrations and the frequency response of the electrical admittance of ultrasonic transducers.

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