Application of complex function solution methods to determine the exciting load required for vibratory compaction of metal powder

This study presents a novel approach to analyzing the vibratory compaction of metal powder using the generalized Kelvin medium rheological model and complex function solution methods. The research derives a theoretical solution for determining the excitation load required for effective compaction, considering key parameters such as oscillation amplitude, frequency, and material properties. The work extends existing analytical methods to accurately represent the damping effects due to internal friction in metal powders. A formula is provided to calculate the necessary surface excitation amplitude for complete compaction, and the theoretical predictions are validated through experimental tests. The findings offer a robust framework for vibratory compaction in industrial applications, significantly advancing the field of powder metallurgy. This research bridges the gap between theoretical models and practical applications, providing valuable insights for improving powder compaction processes.