考虑膛内面积变化的再生式液体发射药火炮内弹道拉格朗日问题

兵工学报 ›› 1993, Vol. 14 ›› Issue (4): 28-33.

考虑膛内面积变化的再生式液体发射药火炮内弹道拉格朗日问题

宋明、杨新民

南京理工大学

收稿日期:1991-05-01 修回日期:1992-04-01 上线日期:2014-12-25
通讯作者: 宋明

Lagrange Problem in the Interior Ballistics of a Regenerative Liquid Propellant Gun, Considering Its Variable Cross-Section Barrel

Song Ming, Yang Xinmin

Nanjing University of Science Technology

Received:1991-05-01 Revised:1992-04-01 Online:2014-12-25
Contact: Song Ming

摘要/Abstract

摘要： 研究了考虑膛内面积变化的再生式液体发射药火炮拉格朗日问题解，获得了不同位置压力更为准确的换算关系式，使再生式液体发射药、火炮内弹道集总参数模型进一步完善。本文结果具有较普遍的意义。同时，证明了存在膛底边界运动和质量加入条件下的拉格朗日假设是比例膨胀假设的充分条件。

关键词: 再生式液体发射药火炮 , 拉格朗日问题 , 比例膨胀假设

Abstract: Derives the solution of the Lagrange problem for the RLPG with variable cross-section barrel and obtains the conversion relationships among the breech pressure , projectile-base pressure and the average pressure, The results obtained are of general significance. It is proved that the uniform density hypothesis is the sufficiency condition for the proportional expansion hypothesis under the existence of the breech boundary motion and the mass jet.

Key words: regenerative liquid propellant gun , Lagrange problem , proportional expansion hypothesis

宋明、杨新民. 考虑膛内面积变化的再生式液体发射药火炮内弹道拉格朗日问题[J]. 兵工学报, 1993, 14(4): 28-33.

Song Ming, Yang Xinmin. Lagrange Problem in the Interior Ballistics of a Regenerative Liquid Propellant Gun, Considering Its Variable Cross-Section Barrel[J]. Acta Armamentarii, 1993, 14(4): 28-33.

[1]	孙明亮，陆林，刘宁，张相炎. 液体发射药迫击炮内弹道燃烧稳定性[J]. 兵工学报, 2020, 41(11): 2145-2154.
[2]	宋明、王浩. 内弹道学拉格朗日问题普遍解[J]. 兵工学报, 1995, 16(2): 23-28.