Abstract：To deal with the problems of the stabilization of ultrasonic vibration system (UVS) such as resonance frequency drift and energy loss, a new designed formula of the conical horn node was put forward, which was deduced from its wave equation of the bar with variable cross-section considering the size of the fixed part, and it was efficient to solve the problems that theoretical calculation value of the node did not coincide with its actual value. This provided the theoretical supports for the processing stability of UVS. Then, the node of the conical horn under the different size of the fixed part was theoretically analyzed based on the design formula of the node. Finally, the vibration characteristics test of UVS and the finite element simulation of the conical horn were carried out. The results showed that the resonant frequency of UVS was much closer to its design frequency, and a greater magnification coefficient and a better vibration effect of horn could be achieved based on the designed formula of the horn node in comparison with traditional design theory of horn, and that the acoustic system designed by this theory was more reliable.

Keyword：ultrasonic amplitude transformer;ultrasonic vibration system;design of node;resonant frequency;amplitude;