冲击波载荷作用下火炮身管易损性研究

doi:10.12382/bgxb.2023.1034

摘要/Abstract

摘要：

针对冲击波载荷作用下火炮身管易损性理论研究方法欠缺、判据模型构建不完善的问题,提出冲击波载荷作用下的火炮身管易损性理论研究方法。基于Euler-Bernoulli梁模型和刚塑性梁模型,建立冲击波载荷作用下的火炮身管动力学模型。依据身管弹-塑性状态的转变和塑性变形的程度,构建身管功能毁伤的物理毁伤判据。基于身管固有振动周期和冲击波正压作用时间与冲击波毁伤准则的关系,提出冲击波毁伤准则确定系数,并构建可定量化确定冲击波毁伤准则的关系式。基于爆炸相似律,构建冲击波载荷作用下的火炮身管毁伤判据数学模型。基于该理论方法,获得冲击波载荷作用下的身管毁伤判据。算例分析结果表明,当冲击波毁伤等级常数C_X大于等于16.44时,火炮身管功能毁伤。

关键词: 火炮身管, 冲击波, 易损性, 毁伤判据

Abstract:

In response to the lack of theoretical research methods and the incomplete construction of criterion models for the vulnerability of artillery barrels subjected to shock wave, a theoretical research method for the vulnerability of artillery barrels subjected to shock wave is proposed. A dynamic model of the artillery barrel subjected to shock wave is established based on the Euler-Bernoulli beam model and the rigid-plastic beam model. A physical damage criterion of the functional damage of the barrel is constructed according to the transition of elastic-plastic state and the degree of plastic deformation of the barrel. Based on the relationship between the natural vibration period of barrel, the positive pressure duration of shock wave and the damage criterion of shock wave, a coefficient for determining the damage criterion of shock wave is proposed, and a relationship formula for quantitatively determining the shock wave damage criterion is constructed. A mathematical model for the damage criterion of artillery barrel subjected to shock wave is established based on the similarity law of explosion. A damaging criterion for the barrel subjected to shock wave is obtained based on the proposd mathematical method. It shows that the function of the artillery barrel is damaged when C_X≥16.44.

Key words: artillery barrel, shock wave, vulnerability, damage criterion

中图分类号:

O383+.3

乔臻, 程伟, 汪衡, 张团, 周立. 冲击波载荷作用下火炮身管易损性研究[J]. 兵工学报, 2024, 45(11): 4011-4019.

QIAO Zhen, CHENG Wei, WANG Heng, ZHANG Tuan, ZHOU Li. Research on the Vulnerability of Artillery Barrel under Shock Wave Loading[J]. Acta Armamentarii, 2024, 45(11): 4011-4019.

图/表 9

图1 身管动力学模型

Fig.1 Dynamic model of barrel

图2 冲击波载荷曲线

Fig.2 Curve of shock wave loading

图3 身管自由端挠度随时间变化关系

Fig.3 Deflection of the free end of barrel versus time

图4 身管自由端挠度随时间变化关系曲线

Fig.4 Deflection of the free end of barrel versus time

图5 动态弯矩曲线

Fig.5 Curve of dynamic bending moment

图6 动态弯矩随时间变化关系

Fig.6 Dynamic bending moment versus time

图7 冲击波毁伤准则确定系数λ

Fig.7 Determined coefficient λ of the damage criterion of shock wave

表1 临界TNT当量和爆心距

Table 1 Critical TNT equivalent and distance from explosive source

TNT当量/kg	爆心距/m	TNT当量/kg	爆心距/m
600	4.30	300	2.70
500	3.80	200	2.07
400	3.27

图8 临界等值线

Fig.8 Critical contour line

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