Analysis of Catenoidal Solid-Horn and its Design Method

Abstract

In some sort of ultrasonic equipment, resonant solid-horn is used as amplitude transformer. And, for this purpose, horn of exponential or conical type is used most commomly. Recently, L. G. Merkulov of USSR has investigated on catenodial solid-horn, and discovered that, in no load condition, this type horn gives greater transformation ratio than those of exponential and conical types. But, in most of the practical cases, the solid-horn has some sort of tip at its output end, and in such caces, the tip acts as a reactance load to the horn. Nevertheless, the character and optimum design method of catenoidal horn with reactance load has not been investigated yet. This paper deals with such problems and provides with a method of practical design, and for this purpose many useful design charts are presented. The mesured values on resonant frequency and transformation ratio of sevral examples, designed by the method described here, gave good agreements with the calculated values.