Dynamical Performance of Ultrasonic Stepped Horn with Loading
XIE Xin-ping1, TIAN A-li1, WANG Zi-li1, Yin Xiao-chun2
1. School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, China;2. Department of Mechanics and Engineering Science, Nanjing University of Science and Technology, Nanjing 210094, China
Abstract: The influence of repeated impacts in high frequency upon the dynamic performance of ultrasonic horn was investigated based on the theory of propagation for the longitudinal wave, and the effect caused by loaded workpiece to the amplifying rate of horn was analyzed. The governing equations and initial-boundary conditions of a stepped horn were established separately, and the transient dynamical response solutions of the contact phase and separation phase were solved theoretically by the transient wave expansion of eigenfunctions. In addition, the transfer function of eigenfunction for stepped horn with arbitrary sections was obtained. The numerical results of a 3-section stepped horn which was wildly used in practical application simulated the transient response of multi-impact succesfully, and revealed the features of transient wave propagated in the stepped horn properly. The influences of the frequency of impulses on dynamical performance of ultrasonic machining system and the effectiveness of shaped charge with loaded workpiece were analyzed. The amplifying rate considering the impact-induced transient wave effects is less than the one obtained by the vibration theory. The present analyses would provide more accurate design for ultrasonic machining system.