CAJ | 학술논문

超声变幅杆是功率超声振动系统的重要组成部分，它的主要功能是把机械振动位移放大并把能量集中在较小的辐射面上，变幅杆的放大系数是超声振动系统中的重要参数。用微元法建立圆锥形超声变幅杆纵向振动的波动方程，用分离变量法和连续振动体的边界条件求解超越波动方程，得到圆锥形超声变幅杆放大系数与变幅杆的大小端直径之比、长度以及外激频率3个变量之间的数学表达式。为研究变幅杆的放大系数与变幅杆的大小端直径之比、长度以及外激频率的关系，依次把3个变量中的2个变量设为常量，对另外一个变量进行抽样，计算变幅杆的放大系数。通过 Matlab 对超声变幅杆放大系数的样本计算数据进行曲线拟合，定性分析了圆锥形超声变幅杆放大系数随变幅杆大小端直径之比、长度、外激振动频率变化的关系。
초성변폭간시공솔초성진동계통적중요조성부분，타적주요공능시파궤계진동위이방대병파능량집중재교소적복사면상，변폭간적방대계수시초성진동계통중적중요삼수。용미원법건립원추형초성변폭간종향진동적파동방정，용분리변량법화련속진동체적변계조건구해초월파동방정，득도원추형초성변폭간방대계수여변폭간적대소단직경지비、장도이급외격빈솔3개변량지간적수학표체식。위연구변폭간적방대계수여변폭간적대소단직경지비、장도이급외격빈솔적관계，의차파3개변량중적2개변량설위상량，대령외일개변량진행추양，계산변폭간적방대계수。통과 Matlab 대초성변폭간방대계수적양본계산수거진행곡선의합，정성분석료원추형초성변폭간방대계수수변폭간대소단직경지비、장도、외격진동빈솔변화적관계。
As an important part of power ultrasonic vibration system,ultrasonic horn can amplify the displacement of mechanical vibration and concentrate energy on a smaller radiating surface,and the amplification coefficient of ultrasonic horn is a vital parameter in vibration system.The longitudinal vibration wave equation of conical ultra-sonic horn is established according to differential element method and solved by the method of separation of varia-bles and boundary conditions,to attain the mathematical expression between amplification coefficient and three variables called the ratio of the small end to the large end diameter,length and external excitation frequency.Two of the three variables are set successively as constants,and then amplification coefficient can be achieved accord-ing to the third variable sampling value by the mathematical expression.The sample calculating data of ultrasonic horn is applied to get fitting curve by Matlab,and relationships between amplification coefficient and three varia-bles are analyzed,qualitatively.