In ultrasonic-assisted machining, the synergistic effect of the cavitation effect and micro-abrasive particles plays a crucial role. Studies have focused on the investigation of the micro-abrasive particles, cavitation micro-jets, and cavitation shock waves either individually or in pairs. To investigate the synergy of shock waves and micro-jets generated by cavitation with micro-abrasive particles in ultrasonic-assisted machining, the continuous control equations of a cavitation bubble, shock wave, micro-jet, and micro-abrasive particle influenced by the dimen-sionless amount (R/R0), a particle size-velocity???pressure model of the micro-abrasive particle was established. The effects of ultrasonic frequency, sound pressure amplitude, and changes in particle size on micro-abrasive particle velocity and pressure were numerically simulated. At an ultrasonic frequency of 20 kHz and ultra-sonic sound pressure of 0.1125 MPa, a smooth spherical SiO2 micro-abrasive particle (size = 5 ??m) was obtained, with a maximum velocity of 190.3???209.4 m/s and pressure of 79.69???89.41 MPa. The results show that in the range of 5???50 ??m, smaller particle sizes of the micro-abrasive particles led to greater velocity and pressure. The shock waves, micro-jets, and micro-abrasive particles were all positively affected by the dimensionless amount (R/R0) of cavitation bubble collapse, the larger the dimensionless quantity, the faster their velocity and the higher their pressure.