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EN
Fragment velocity is a crucial parameter for evaluating the destructive capability of a warhead, and it is typically calculated using the Gurney formula with corrections. The currently established correction formulas can determine the axial distribution of natural fragment velocity within the shell, but for a preformed fragmentation warhead, energy losses due to the existence of fragment gaps lead to calculated results that are larger than the actual values, making it unsuitable for accurate calculation of the axial distribution of fragment velocity in such warheads. This paper introduces a filling ratio correction function based on the concept of effective charge and establishes a calculation model for the axial distribution of fragment velocity in preformed fragmentation warheads. The numerical simulation method was validated using prototype ground static explosion test data, then the influence of key parameters such as charge diameter (d), length-diameter ratio (δ), and filling ratio (β) on the axial distribution of fragment velocity was investigated. The relationships between the three parameters (a, m, c) in the filling ratio correction function and the characteristic parameters were derived, and the filling ratio correction function and the calculation formula for the axial distribution of fragment velocity were fitted. Comparisons with existing empirical formulas indicate that the formulas established in this paper offer higher calculation accuracy, with an error of no more than 4.65% compared to measured values, and they can reliably determine the axial distribution of fragment velocity in preformed fragmentation warheads, providing significant practical application value.
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