Fragment mass distribution of naturally fragmenting warheads

Abstract

U radu se razmatraju statistički aspekti fragmentacije razornih bojnih glava. Modeliranje raspodele mase fragmenata je od velikog značaja pri određivanju efikasnosti razornih projektila. Dat je pregled sedam relevantnih teorijskih modela raspodele mase parčadi: Motov (Mott) model, generalizovani Motov model, Grejdijev (Grady) model, generalizovani Grejdijev model,lognormalna raspodela, Vajbulova (Weibull) i Heldova (Held) raspodela. Poređenje ovih modela sa reprezentativnom bazom podataka za 30 razornih projektila pokazalo je veoma dobro podudaranje teorijskih i eksperimentalnih rezultata. Analiza koeficijenata determinacije ukazala je da generalizovana Motova, generalizovana Grejdijeva i Vajbulova raspodela najbolje opisuju rezultate eksperimenata. Dalje poređenje ovih modela zasnovano na analizi medijane favorizuje generalizovanu Grejdijevu raspodelu čija se bimodalnost može fizički opravdati. Predloženi zakon raspodele mase fragmenata može se primeniti u složenom simulacionom modelu efikasnosti razornih projektila.The paper considers statistical aspects of high explosive warhead fragmentation. The modeling of fragment mass distribution is of great importance for determination of fragmenting warhead efficiency. Seven relevant theoretical fragment mass distribution models are reviewed: the Mott, the generalized Mott, the Grady, the generalized Grady, the lognormal, the Weibull and the Held distribution. Comparison of these models with representative experimental database of 30 fragmenting projectiles has shown, generally, a very good correspondence between theoretical models and experimental data. The goodness of fit analysis has indicated that the generalized Mott, the generalized Grady and the Weibull distribution enable the best description of experimental fragment mass distribution data. Further comparison of these models based on the median analysis prefers the generalized Grady distribution, and its bimodal characteristic can be physically justified. The suggested theoretical fragment mass distribution law can be applied in a complex fragmenting projectile efficiency simulation model