基于修正补偿模型法的不同材料钢板靶标相似性及等效设计方法

doi:10.12382/bgxb.2022.1255

摘要/Abstract

摘要：

弹体对舰船侵彻能力的考核多采用舰船板架结构侵彻试验,由于特种钢材采购与加工成本较高,因此,需开展弹体侵彻金属靶板材料等效方法研究。基于相似理论对钝头、截锥形和截卵形3种弹体垂直侵彻不同材料钢板情况下剩余速度相似性开展研究,将无量纲剩余速度表示为靶板无量纲板厚和无量纲动态屈服应力的函数,并对于模型靶板与原型靶板材料不同的情况,应用修正补偿模型方法,建立了通过改变模型板厚以达到与原型剩余速度相等的相似性设计方法,并通过数值仿真结果拟合,得到了两种材料间的等效系数,分别为钝头弹0.5047,尖头弹0.3943,截卵形弹体0.3845。

关键词: 穿甲力学, 侵彻, 相似理论, 修正补偿模型, 材料等效

Abstract:

The penetration test of ship plate frame structure is often used to assess the penetration ability of projectile into ship. Due to the high purchasing and processing costs of special steel, it is necessary to carry out research on the similarity law and material equivalent method of projectile penetrating into metal target plate. The similarity of the residual velocities of three kinds of projectiles during vertical penetration into steel plates made of different materials is studied based on the similarity theory. The dimensionless residual velocities are expressed as the function of dimensionless plate thickness and dimensionless dynamic yield stress of target plate. The correction and compensation model method is applied for the different materials of model and the prototype target plates. A similarity design method is established to achieve the same residual velocity as the prototype by changing the thickness of model plate,And the equivalent coefficients of two materials is obtained through the fitting of numerically simulated results, which are 0.5047 for blunt-nosed projectiles, 0.3943 for pointed nose projectiles, and 0.3845 for truncated-oval-shaped projectiles.

Key words: armor piercing mechanics, penetration, similarity theory, correction and compensation model, material equivalence

中图分类号:

TJ012.4

张建伟, 吴子奇, 张丰超, 邢程程, 孟凡星. 基于修正补偿模型法的不同材料钢板靶标相似性及等效设计方法[J]. 兵工学报, 2024, 45(4): 1297-1310.

ZHANG Jianwei, WU Ziqi, ZHANG Fengchao, XING Chengcheng, MENG Fanxing. Study on Similarity and Equivalent Design Method of Steel Plate Targets with Different Materials Based on Modified Compensation Model[J]. Acta Armamentarii, 2024, 45(4): 1297-1310.

图/表 28

参考文献 22

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符号	量纲	符号	量纲
D	[L]	H	[L]
L	[L]	ρ_t	[M] [L]^-3
N		E_ty	[M] [L]^-1 [T]^-2
D_p	[L]	E_tt	[M] [L]^-1 [T]^-2
ρ_p	[M] [L]^-3	σ_t	[M] [L]^-1 [T]^-2
E_py	[M] [L]^-1 [T]^-2	σ_td	[M] [L]^-1 [T]^-2
E_pt	[M] [L]^-1 [T]^-2	μ_t
σ_p	[M] [L]^-1 [T]^-2	ε_tf
σ_pd	[M] [L]^-1 [T]^-2	v₀	[L] [T]^-1
μ_p		α
ε_pf		β

符号	量纲	符号	量纲
D	[L]	H	[L]
L	[L]	ρ_t	[M] [L]^-3
N		E_ty	[M] [L]^-1 [T]^-2
D_p	[L]	E_tt	[M] [L]^-1 [T]^-2
ρ_p	[M] [L]^-3	σ_t	[M] [L]^-1 [T]^-2
E_py	[M] [L]^-1 [T]^-2	σ_td	[M] [L]^-1 [T]^-2
E_pt	[M] [L]^-1 [T]^-2	μ_t
σ_p	[M] [L]^-1 [T]^-2	ε_tf
σ_pd	[M] [L]^-1 [T]^-2	v₀	[L] [T]^-1
μ_p		α
ε_pf		β

结构	密度/(kg·m^-3)	弹性模量/GPa	泊松比	屈服应力/MPa	硬化模量/MPa
弹体壳体(30CrMnSiNi2A钢)	7850	517	0.28	1600	594
填充物	1800	10	0.30

结构	密度/(kg·m^-3)	弹性模量/GPa	泊松比	屈服应力/MPa	硬化模量/MPa
弹体壳体(30CrMnSiNi2A钢)	7850	517	0.28	1600	594
填充物	1800	10	0.30

材料	密度/(kg·m^-3)	弹性模量/GPa	泊松比	A/MPa	B/MPa	n	c
921A钢	7850	205	0.28	898.6	356	0.022	0.586
Q345B钢	7850	210	0.28	425.0	680	0.520	0.300
材料	m	η₁	η₂	η₃	η₄	η₅
921A钢	1.05	0.80	2.1000	0	0.0020	0.6
Q345B钢	1.03	0.28	0.3352	-0.54	-0.0123	0