Unified formula for fragment velocity of polygonal charges

Compared with traditional cylindrical charges, polygonal charges can achieve better fragment convergence effects. However, the lack of relevant fragment velocity calculation formulas restricts the optimization design and performance evaluation of polygonal charges. In this study, we construct a unified fragment velocity formula of polygonal charges for the first time. First, dimensional analysis was used to study the influencing factors of the fragment velocity of polygonal charges, and a preliminary calculation model was determined. Fragment dispersion range tests based on pulsed X-rays were conducted, and the unknown functions were determined using experimentally verified numerical simulations, completing the establishment of a unified fragment velocity model. Finally, the accuracy of the constructed theoretical formula was verified using publicly published test results and other numerical simulations. Related research can provide important guidance for the design, optimization, and application of polygonal charges.