A Target Damage Assessment Mathematical Model and Calculation Method Based on the Intersection of Warhead Fragment and Target Mechanism

Xiaoqian Zhang () and Hanshan Li
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Xiaoqian Zhang: School of Electronic and Information Engineering, Xi’an Technological University, Xi’an 710021, China
Hanshan Li: School of Electronic and Information Engineering, Xi’an Technological University, Xi’an 710021, China

Mathematics, 2022, vol. 10, issue 17, 1-16

Abstract: This paper proposes a target damage calculation method based on the profit-loss value of a warhead fragment group. The group is discretized into a fan-shaped column warhead fragment dispersion arrangement model, and the angle of its intersection with the target is combined to establish the dynamic dispersion density model of the warhead fragment group. In addition, the function to calculate the number of warhead fragments hitting the target’s surface is devised. The capability matrix of the warhead fragment group is constructed according to the quality, quantity, and storage velocity of the warhead fragments, and then, the profit-loss value of the warhead fragment group is established. Combining the intersection probability of the target and the warhead fragment of the dispersion area, the model to calculate the probability of damage caused to the target by the warhead fragment group formation is deduced. The calculation and experimental analysis verifies that the dispersion angle of warhead fragments, the intersection angle of projectile and target, and the intersection distance of projectile and target significantly influence the impact of target damage.

Keywords: target damage; uncertainty; dynamic distribution density; warhead fragment dispersion; profit-loss value (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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