Design and optimization of a single excitation elliptical vibration system

For realizing ultrasonic elliptical vibration-assisted cutting, a single excitation elliptical vibration system was proposed in this work, which was composed of a giant magnetostrictive transducer and an asymmetrical stepped ultrasonic horn with arc transition (ASUH). The dynamic simulation of the vibration system was carried out using ANSYS, the output end of the vibration system produced longitudinal and transverse vibrations simultaneously due to the ASUH at the resonant frequency, and the influence of the transition arc of the ASUH on the elliptical vibration performance of the vibration system was studied. The impedance, elliptical vibration trajectory of the output end, and output amplitude of the vibration system were tested experimentally. The results show that the actual resonant frequency of the vibration system was 20.708 kHz, the mechanical quality factor was 106, and the longitudinal amplitude was slightly greater than the transverse amplitude of the output end. The theoretical calculations coincide with the experimentally tested results.