Blade prime-number / uniform angular distribution criterion for vibration reduction

Currently, the vibration noise of casting cleaning equipment exceeds 95 dB, which not only impacts the equipment's service life but also jeopardizes workers' health. The primary cause lies in the resonance tendency resulting from an uneven distribution of blades in the shot blasting device. The prime-number / uniform angular distribution criterion and the dynamic balance elimination relation are established in this paper, aiming to minimize resonance coupling while considering the internal characteristics of the shot blast device and blade assembly. Subsequently, the shot blasting device of seven prime-number angular front-curved blades was designed and established, and the dynamic balance caused by uneven blade distribution was offset by drilling. We employ discrete element method analysis to evaluate projectile velocity and stability. Results indicate that shot velocity reaches a maximum of 75 m/s with fluctuations within 4 m/s. After reaching 0.24 s, particles accelerated by the shot blasting device achieve relative stability. Finally, vibration data acquisition at a sampling frequency of 10 Ksps demonstrates that noise levels are reduced from 97 dB (traditional structure) to 93.3 dB (new model). This new criterion for shot blasting machine models mitigates vibrations during operation while enhancing working conditions and improving overall stability and reliability.