Abstract:
Based on the wave equation of longitudinal vibration of variable cross-section rod, the frequency equation and some important parameter formulas of an power function horn are deduced. Compared with other type of ultrasonic horns, the results show the amplitude factor of power function horn is the same as that of the exponential type and the resonance length is equal to that of stepped type. Meanwhile, it is discovered that this kind of ultrasonic horn has no cut-off frequency. Finally, the modal analysis is obtained and the resonance frequency is determined by using finite element software Ansys. It is shown that the simulation result is consistent with that of the theory.
