Free vibration of solid horn with diaphragm

Abstract

Solid horns are used to magnify the displacement amplitude for power ultrasonics. They have half a wavelength and are connected vertically with the transducer. Therefore the ultrasonic vibration system usually becomes too long and heavy to handle. Thus we have developed a new type of solid horn with a metallic diaphragm, which transduce the little longitudinal vibration to the extremely large flexural one. Therefore it is possible to shorten and to make lighter the ultrasonic vibration system by replacing connected horns to the simple new horn. In this paper, the free vibration of the horn is analyzed using a transfer matrix method and FEM. The analytical results on the natural frequency, the magnification ratio and the vibration mode are confirmed experimentally.