VIBRATION ANALYSIS AND FREQUENCY EQUATION FOR AN ULTRASONIC TRANSDUCER CONSISTING OF A LONGITUDINAL VIBRATOR AND A FLEXURAL CIRCULAR PLATE

A transducer for producing ultrasonic radiation in gases is studied. T he transducer consists of a circular plate in flexural vibration and a longitudinal electromechanical vibrator which is attached to the cent re of the plate. The vibration mode of the transducer was analyzed. Th e equivalent circuit of the transducer was presented and the frequency equation derived. The analysis shows that the equivalent circuit meth od is very useful in analyzing the vibration mode and the resonant fre quency of the transducer. Two such transducers were designed according to the frequency equation and their resonant frequencies and displace ment distributions were measured. The measured resonant frequencies we re in good agreement with the theoretical frequencies.