Analytic Solution for the Internal Ballistics of Pyrotechnic Separation Pushing Rod Considering Leakage

LI Zheng; LIU Xiaoming; CHEN Wanchun; LIU Xiaodong; JIN Shixin; TIAN Long

doi:10.15892/j.cnki.djzdxb.2025.05.025

Journal of Projectiles, Rockets, Missiles and Guidance >

2025 , Vol. 45 >Issue 5: 805 - 816

DOI: https://doi.org/10.15892/j.cnki.djzdxb.2025.05.025

Academic article

Analytic Solution for the Internal Ballistics of Pyrotechnic Separation Pushing Rod Considering Leakage

LI Zheng ^,¹ ,
LIU Xiaoming ^,¹^,^* ,
CHEN Wanchun ¹ ,
LIU Xiaodong ² ,
JIN Shixin ² ,
TIAN Long ²

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¹ School of Astronautics, Beihang University, Beijing 100191, China
² Institude of Pyrotechnics Technology, Liaoning North Huafeng Special Chenmical Co., Ltd., Fushun 113003, China

Received date: 2025-02-20

Online published: 2025-11-28

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Abstract

A high-order small quantity approximation based internal ballistic analytical solution is proposed to address the difficulty in quickly and accurately calculating the output characteristic changes caused by gas leakage during the actual operation of pyrotechnic separation pushing rod. Corrected the impact of gas leakage on the output characteristics of pyrotechnic pushing rod, no longer constrained by the assumption of mass conservation, thereby improving the accuracy of internal ballistic prediction results. Directly calculating the output characteristics of the pyrotechnic pushing rod using analytical formulas eliminates the need for numerical methods to integrate and solve the entire working process, significantly reducing computational time. Conduct sensitivity analysis on various design parameters of pyrotechnic separation pushing rod, and obtain the relationship between the output characteristics of the pyrotechnic pushing rod and the changes in various design parameters. The simulation results show that the established mathematical model of interior ballistics is consistent with the experimental data, with a relative error of less than 4%. Comparing the analytical solution of internal trajectory with the numerical integration results, the maximum relative error of the pressure analytical solution is -0.876%, and the relative error of the work ratio analytical solution and the velocity analytical solution is basically below 1%. The calculation time is reduced by four orders of magnitude compared to the numerical integration method. It can be used for the evaluation and optimization of the overall design stage of pyrotechnic separation pushing rod to improve design efficiency.

Key words： pyrotechnic separation pushing rod; analytic solution; interior ballistics; pyrotechnic; sensitivity

Cite this article

LI Zheng , LIU Xiaoming , CHEN Wanchun , LIU Xiaodong , JIN Shixin , TIAN Long . Analytic Solution for the Internal Ballistics of Pyrotechnic Separation Pushing Rod Considering Leakage[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2025 , 45(5) : 805 -816 . DOI: 10.15892/j.cnki.djzdxb.2025.05.025

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