An assessment method for ammunition damage effectiveness based on multiple rectangular cookie cutter function

DAI Quan; LI Xiangdong; ZHOU Lanwei; JI Yangziyi

doi:10.11883/bzycj-2023-0316

Volume 44 Issue 3

Mar. 2024

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DAI Quan, LI Xiangdong, ZHOU Lanwei, JI Yangziyi. An assessment method for ammunition damage effectiveness based on multiple rectangular cookie cutter function[J]. Explosion And Shock Waves, 2024, 44(3): 031404. doi: 10.11883/bzycj-2023-0316

Citation:

DAI Quan, LI Xiangdong, ZHOU Lanwei, JI Yangziyi. An assessment method for ammunition damage effectiveness based on multiple rectangular cookie cutter function[J]. Explosion And Shock Waves, 2024, 44(3): 031404. doi: 10.11883/bzycj-2023-0316

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An assessment method for ammunition damage effectiveness based on multiple rectangular cookie cutter function

doi: 10.11883/bzycj-2023-0316

School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China

Received Date: 2023-08-31
Rev Recd Date: 2023-12-22

Available Online: 2023-12-25

Publish Date: 2024-03-14

Abstract

Abstract

When assessing the damage effectiveness of blast-fragmentation ammunitions against ground targets, the traditional approach involves calculating the overall target damage probability based on component damage criteria. Typically, the shooting line tracing method is used to determine the specific location on the target where fragments from the munition hit. However, this computation process is time-consuming. Therefore, to rapidly and accurately evaluate the ammunition damage effectiveness on the target, this study proposes a method called the multiple rectangular cookie cutter damage function. This method adopts the concept of the trapezoidal rule and performs equivalent processing on different regions corresponding to different damage probability intervals based on the gradient of damage probability changes within the actual damage area. This method can effectively retain the distribution pattern of damage probability values in the practical damage area, thus ensuring the accuracy of the computations. When describing ammunition delivery accuracy, a two-dimensional normal distribution is commonly employed to simulate the impact point locations of projectiles. Therefore, when calculating the mean of damage probability of the ammunition on the target, integration operations on the normal distribution function are necessary. However, due to the absence of an analytical solution for integrating the normal distribution function, polynomial equations are introduced as substitutes to enhance computational efficiency. The effects of ammunition drop angle and accuracy on the mean of damage probability of the target were investigated through example analysis, and the results were compared with those of methods based on the rectangular cookie cutter and Carlton damage function. The results show that within the ammunition drop angle range from 30° to 75°, and the circular error probable (CEP) precision range from 5 m to 50 m, compared with the rectangular cookie cutter damage function, the calculation method based on the multiple rectangular cookie cutter damage function improves the accuracy of damage effectiveness calculation by up to 26.4%. At the same time, the computational efficiency is improved by a factor of 518 compared with the Carlton damage function.
- damage effectiveness,
- damage function,
- trapezoidal rule,
- calculation accuracy

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References(21)

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