The work aims to reduce the impact of resonance fatigue on friction welding mechanisms and improve the reliability, performance, and service life of brick packaging machine. A friction welding mechanism model was established to analyze the displacement amplitude and stress amplitude of the friction vibration arm under different vibration frequencies. Based on the ideal welding temperature and welding time as parameters, the vibration frequency and motor speed were determined. Within the tested frequency range, as the vibration frequency increased, the displacement amplitude in the Z direction was greater than that in the X and Y directions, and the stress amplitude in the Y direction was greater than that in the X and Z directions. The displacement amplitude and stress amplitude in all three directions showed an upward trend. When the vibration frequency was 440 Hz, the welding time was at least 2.0 s, and when the vibration frequencies were 450 Hz and 460 Hz, the welding time was at least 1.9 s. The temperature distribution at the bottom of the friction vibration arm was basically consistent and reached the ideal welding temperature. Finally, the vibration frequency was selected as 450 Hz, and the motor speed was set to 27 000 r/min. The final determined speed not only needs to minimize the impact of resonance fatigue, but also needs to be combined with the actual welding temperature and efficiency factors of the brick packaging machine, in order to improve the reliability and service life of the brick packaging machine.