Study on the longitudinal-torsional composite mode exponential ultrasonic horns

Abstract

Ultrasonic solid horns are the important parts in high power ultrasonic vibrating systems. In this paper, the ultrasonic exponential horns in longitudinal and torsional composite vibrational modes are studied. By analysing the propagation characteristics of the longitudinal and torsional vibrations in the ultrasonic exponential horns and choosing the decay constant of the cross-sectional area of the ultrasonic exponential solid horns, the condition at which the longitudinal and torsional vibrations resonate at the same resonance frequency is given, and the resonance frequency equation for the design of the longitudinal-torsional composite ultrasonic exponential horns is derived. Experiments show that the calculated resonance frequencies of the horns are in good agreement with the measured results, and the resonance frequency of the longitudinal vibration in the horn is almost the same as that of the torsional vibration in the same exponential horn. This kind of longitudinal-torsional composite mode ultrasonic exponential horn can be used in ultrasonic techniques such as ultrasonic machining, which requires very large mechanical displacements.