Longitudinal Vibration Characteristics Required to Cut a Circle by Ultrasonic Vibration

Abstract

Currently, lasers and water jets are used to cut circles in brittle materials such as ceramics. However, a disadvantage of these methods is that the conventional equipment is large and complex. To resolve this issue, a method using the ultrasonic vibration of a hollow-type stepped horn for cutting is developed. We consider that this equipment can be simplified and miniaturized. The shape of the hollow-type stepped horn and the characteristics of the longitudinal vibration required to obtain excellent cutting properties were examined. As a result, the most appropriate depth of the hollow part is one-quarter of the wavelength for a hollow-type stepped horn that vibrates longitudinally. The amplification factor is proportional to the cross-sectional ratio providing the cross-sectional ratio does not exceed 4.6. The characteristics of the longitudinal vibration of the hollow-type stepped horn when the static pressing force at the tip of the horn is varied were also examined. It was clarified that the ultrasonic vibration of a hollow-type stepped horn can be used to cut brittle materials.

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

“…where S S and 1 2 are the cross-sectional area of parts 1 and 2, respectively. 19,[25][26][27] Equation ( 1) agrees with the amplification factor of the longitudinal vibration displacement amplitude, ¢ R .…”

Ultrasonic complex vibration source equipped with a step horn with a welding tip and its welding characteristics

“…The dimensions of a step horn with a hollow section attached to an ultrasonic complex vibration source were investigated by using design formulas. [23][24][25][26] Figure 2 is a schematic of the step horn with a hollow section. The hollow part is only at the narrow end on the right side of the step horn.…”

Characteristics of Hole Machining of Brittle Material by Ultrasonic Complex Vibration

“…In previous studies, the longitudinal and torsional vibration characteristics of a hollow-type stepped horn and a uniform rod have been clarified and the shape of the diagonal slits has been investigated. [14][15][16][17][18] The relationships between diagonal slit parameters and the longitudinal and torsional vibration characteristics of the horn and uniform rod have also been discussed. The diagonal slits conditions have been clarified to obtain the maximal torsional vibration at the tip.…”