Building a Mathematical Model for Determination of the Miss Distance of Artillery Shells Using Proximity Fuzes

Authors

  • Pham Xuan Quyen Le Quy Don Technical University, Hanoi, Vietnam.

DOI:

https://doi.org/10.3849/aimt.01987

Keywords:

proximity fuze, radio fuze, fuze utilizing the Doppler effect, warhead

Abstract

This paper presents a theoretical framework for determining the miss distance of fragmentation projectiles equipped with Doppler proximity fuzes, expressed as a function of specific structural parameters. The analysis considers both the spatial offset between the antenna and the warhead detonation center (Δr) and the angular distribution of fragments, which together govern the effective lethality zone and detonation timing. The mutual influence of parameters such as the antenna–warhead separation, the projectile-target impact angle, the miss phase, and the mean fragment dispersion angle on the resulting miss distance is quantified. Nu-merical analysis confirms that Δr exerts the dominant influence on miss distance, while angular parameters play secondary roles. The findings highlight the critical role of Δr in realistic projectile-fuze configurations and provide a solid basis for selecting suitable structural parameters for various types of shells employing non-contact fuzes during the design process.  

Author Biography

  • Pham Xuan Quyen, Le Quy Don Technical University, Hanoi, Vietnam.

    Faculty of System Engineering

References

HUO, H., C. DONG, J. LI and Y. WANG. Measurement Method of the Air-Miss Distance and Explosion Distance of Proximity Fuze. In: 2018 International Conference on Chinese Automation Congress (CAC). Xi’an: IEEE, 2018, pp. 3924-3929. https://doi.org/10.1109/CAC.2018.8623450.

ZHAO, Q., et al. Simulation Design of Fuze-Warhead System of Air-Defense Missile at Very Low Altitude. Journal of Systems Engineering and Electronics, 2017, 28(3), pp. 572-584. https://doi.org/10.21629/JSEE.2017.03.17.

ARORA, V.K. Proximity Fuzes: Theory and Techniques. New Delhi: Defence Research & Development Organisation, 2010. ISBN 978-81-86514-29-0.

KOLODNY, M.A. Radar Proximity Fuzing and the Cold War Paradigm. In: 2011 IEEE MTT-S International Microwave Symposium (MTT-S). Baltimore: IEEE, 2011. https://doi.org/10.1109/MWSYM.2011.5973333.

LI, Z.B. Implementation and Development of Compact UWB Proximity Fuze Sensor System. In: 2011 International Conference on Computational Problem-Solving (ICCP). Chengdu: IEEE, 2011, pp. 120-122. https://doi.org/10.1109/ICCPS.2011.6092218.

NASSER, A., F. AHMED, K.H. MOUSTAFA and A. ELSHABRAWY. Recent Advancements in Proximity Fuzes Technology. International Journal of Engi-neering Research and Technology, 2015, 4(4), pp. 1233-1238. https://doi.org/10.17577/IJERTV4IS041400.

ZHANG, X. and H. LI. Calculation Model of Projectile Explosion Position by Using Acousto-Optic Combination Mechanism. IEEE Access, 2021, 9, pp. 126058-126064. https://doi.org/10.1109/ACCESS.2021.3109918.

QUYEN, P.X. Determining the Dependence of Doppler Frequency on the Slip Between the Artillery Shell and the Target When Using a Doppler Non-Contact Fuze. Journal of Natural Science – Engineering and Technology (in Vietnam-ese), 2023, 228(02). https://doi.org/10.34238/tnu-jst.7226.

SHI, X., Y. YUAN, S. CHEN, S. ZHANG and H. ZHAO. The Research on Dam-age Effect of Target under the Action of Fragmentation Warhead. In: 2021 IEEE 6th International Conference on Signal and Image Processing (ICSIP). Nanjing: IEEE, 2021, pp. 1150-1154. https://doi.org/10.1109/ICSIP52628.2021.9688776.

LI, H., X. ZHANG, X. ZHANG and J. GAO. Warhead Fragments’ Distribution Measurement Method by a Multiscreen Sensors’ Intersection Test Mechanism and Equivalent Target Damage Probability Calculation. IEEE Transactions on Instrumentation and Measurement, 2021, 70, 7004109. https://doi.org/10.1109/TIM.2021.3079557.

ZHANG, X. and H. LI. A Target Damage Assessment Mathematical Model and Calculation Method Based on the Intersection of Warhead Fragment and Target Mechanism. Mathematics, 2022, 10(17), 3101. https://doi.org/10.3390/math10173101.

Downloads

Published

07-02-2026

Issue

Section

Original research article

Categories

How to Cite

Pham, X. Q. (2026). Building a Mathematical Model for Determination of the Miss Distance of Artillery Shells Using Proximity Fuzes. Advances in Military Technology, 21(1), 39-49. https://doi.org/10.3849/aimt.01987

Similar Articles

1-10 of 325

You may also start an advanced similarity search for this article.