Design and experimental investigation of stepped horn with a hollow part to allow individual design of amplitude amplification factors for longitudinal-torsional vibration source

Abstract

In the ultrasonic vibration-assisted manufacturing method using complex vibration, the amplitude amplification factor of horn for each vibration is important. In this paper, we focus on longitudinal-torsional vibration as a complex vibration and propose a stepped horn with a hollow part as a horn that can design the amplification factors of these vibrations individually. The proposed equation for the amplification factor of the horn with a hollow part was derived from the equation of the conventional step horn without a hollow part, and the validity of the proposed equation was verified by the finite element method and experimental measurements. As a result, the validity of the equation was confirmed, and it was clarified that the proposed stepped horn with a hollow part can be individually designed for the amplitude amplification factors of longitudinal vibration and torsional vibration.