Abstract:
The engineering method of the new type angled ultrasonic longitudinal solid horn has been investigated in this paper.At first,the characteristic matrix of the relationship between the vectors on the input and output ends of the straight rod has been calculated.Then,the coupling relationship of the displacements,forces,bending moments and angles of rotation at the junction of the input and output rods has been obtained.At last,the matrix analytical method,which has been used to calculate the resonant frequency,has been presented based on the characteristic matrix and coupling relationship.The resonant frequencies of the angled solid horns with different geometrical dimensions have been calculated and basically agree with the values by experiment.This method, featuring clear physical concept and convenient calculation,can serve as reference for the design of the angled ultrasonic longitudinal solid horn.