Real-time calculation of the initial angle of projection for fragments in cylindrical warheads

Felix, David; Colwill, Ian; Harris, Paul J.

doi:10.1177/1548512920982673

Cited by 3 publications

(7 citation statements)

References 27 publications

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“…e average error of the two warhead samples is within ±7%. e calculated model data in this paper are compared with flying angle prediction results of Taylor and Flix et al [7,8] formulas, and the comparison results are shown in Figure 14. e prediction of the fragment's flying angle given by the Taylor formula was close to a straight line parallel to the X/L axis.…”

Section: Model Verification Error Analysismentioning

confidence: 99%

“…where D is the detonation velocity of the explosive, and θ/2 is the angle between the fragment's flying direction and the normal direction of the projectile body, which is called the "Taylor angle." Figure 1 is adapted from Felix et al [8], Carlucci and Jacobson [9], Deshpande [10], and Walters and Zukas [11], representing the variables in the Taylor formula.…”

Section: Introductionmentioning

confidence: 99%

“…erefore, this formula has considerable limitations. Felix et al [8] proposed formulas to calculate the initial flying angle based on shell expansion shape as follows:…”

Section: Introductionmentioning

confidence: 99%

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Calculation Model of the Axial Dispersion Distribution of Cylindrical-Warhead Fragments

Ning

Yao

et al. 2022

Shock and Vibration

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The dispersion distribution characteristics of prefabricated fragments from an improvised explosive device (IED) are essential in defense technology development. To improve warhead design, it is essential to predict a fragment’s velocity and dispersion distribution accurately. This paper investigates a fragment’s flying angle from a detonated warhead with a cylindrical charge under a one-end central detonation. A modified formula for calculating the fragment dispersion distribution at each axial position of the warhead was obtained based on experimental data and model analysis. The impacts of the following parameters on the flying angle were considered in the formula: ratio of charge mass to shell mass, charge diameter, axial sparse effect, and relative axial shell position. The formula was verified by experimentation to be suitable for wide applications using different validation samples. Theoretical calculations with the formula show good accuracy in predicting the flying angle of cylindrical-shell fragments, agreeing with experimental data. The proposed model meets the error requirements of engineering applications. This work provides a theoretical foundation for subsequent research on damage effectiveness and IED damage assessment.

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Section: Model Verification Error Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Calculation Model of the Axial Dispersion Distribution of Cylindrical-Warhead Fragments

Ning

Yao

et al. 2022

Shock and Vibration

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“…The initial angle of projection of a fragment depends on the Taylor angle, developed in Felix et al’s paper 12 and shown in the following equation:…”

Section: Approachmentioning

confidence: 99%

“…where t is a constant. Equation (12) has different values of t to determine different points on the straight line. Then, using Figure 7, the coordinates of the fragment rotated about the edge on the casing are (x 1 + L L sinα, Figure 10 shows the Y and Z coordinates of the fragment about to be projected.…”

Section: Calculate Where Fragments Hit the Targetmentioning

confidence: 99%

Real-time simulation of a fragmenting explosion for cylindrical warheads

Felix

Colwill

Harris

2021

Journal of Defense Modeling & Simulation

Self Cite

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Explosion models based on finite element analysis (FEA) can be used to simulate how a warhead fragments. However, their execution times are extensive. Active protection systems need to make very fast predictions, before a fast attacking weapon hits the target. Fast execution times are also needed in real-time simulations where the impact of many different computer models is being assessed. Hence, FEA explosion models are not appropriate for these real-time systems. As a trade-off between accuracy and execution time, this paper creates a simulation of fragments from a warhead’s explosion, using simple analytical equations. The results are verified against explosion experimental data and FEA results. The developed model then can be made available for real-time simulation and fast computation.

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Functional Damage Assessment Method for Preformed Fragment Warheads to Evaluate the Effect on the Phased-Array Antenna

Zou

Wen³

et al. 2023

Electronics

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Damage assessment of a small-weight precision-guided warhead to evaluate the effect on the performance of high-value vulnerable targets should focus on functional damage instead of physical damage. Developing a damage assessment model that considers target function attenuation as a damage criterion for warhead design and tactical application is of great significance. In this paper, an accurate mathematical description of a preformed fragment warhead is provided. The failure of phased-array antenna elements in different initiation conditions is predicted by a shot-line model and spatial coordinate mapping. A real-time co-simulation model of the explosion damage field and the phased-array antenna electrical performance is developed and the effective damage modes are obtained through multi-condition simulation and electrical performance parameters analysis, which has more tactical application value than the structural damage assessment method with equivalent targets and the electrical simulation in artificial or random phrased-array-element failure conditions.

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Real-time calculation of the initial angle of projection for fragments in cylindrical warheads

Cited by 3 publications

References 27 publications

Calculation Model of the Axial Dispersion Distribution of Cylindrical-Warhead Fragments

Calculation Model of the Axial Dispersion Distribution of Cylindrical-Warhead Fragments

Real-time simulation of a fragmenting explosion for cylindrical warheads

Functional Damage Assessment Method for Preformed Fragment Warheads to Evaluate the Effect on the Phased-Array Antenna

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