The performance of ultrasonic flexural solid horn with simple shape

Based on the analytical method presented in reference the vibration characteristics of three conventional solid horn are investigated by using numerical computation method. The results show that the resonant frequency of the horns decreases when the horns become longer and that the frequency increases when the horns become thick. Further study shows that there exists certain relation between the resonant frequency and the size parameters of horns which is independent of the values of the diameters of the horn when the ratio of large end diameter to small end diameter of a horn. This relation is described by resonance curve which is a important tool for horn design and complex mode vibration analysis. Concerning the magnification capability of three types of horns the magnification of the catenary horn is greater than that of the exponential horn,which is in succession greater than that of the conic horn.