超声变幅杆的动力学分析（英文）  

Dynamic study on ultrasonic horn

作　　者：张兴红[1] 陈鑫[1] 何涛[1] 邱磊[1] 

机构地区：[1]重庆理工大学时栅传感及先进检测技术重庆市重点实验室,重庆400054

出　　处：《机床与液压》2015年第18期74-74,共1页Machine Tool & Hydraulics

摘　　要：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。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 ultrasonic horn is established according to differential element method and solved by the method of separation of variables 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 according 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 variables are analyzed,qualitatively.

关 键 词：超声变幅杆 微元法 放大系数 曲线拟合 

分 类 号：TG[金属学及工艺]