基于能量法的双钢板混凝土遮弹层设计计算方法研究

王武; 杨军; 王安宝; 周布奎; 李晓军

doi:10.11883/bzycj-2023-0086

基于能量法的双钢板混凝土遮弹层设计计算方法研究

doi: 10.11883/bzycj-2023-0086

王武^{1, 2,},
杨军^1, ,,
王安宝²,
周布奎²,
李晓军²

1.
清华大学土木工程系，北京 100084
2.
军事科学院国防工程研究院，北京 100036

详细信息

作者简介:
王　武（1985－　），男，博士研究生，工程师，w-wang21@mails.tsinghua.edu.cn

通讯作者:
杨　军（1974－　），男，博士，研究员， junyang@tsinghua.edu.cn

中图分类号: O385
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- 被引次数: 0
出版历程
- 收稿日期: 2023-03-09
- 修回日期: 2023-04-29
- 网络出版日期: 2023-04-28
- 刊出日期: 2023-11-17

A study of the design and calculation method of double-skin steel-concrete shield based on energy approach

WANG Wu^{1, 2
,},
YANG Jun^{1
, ,},
WANG Anbao²,
ZHOU Bukui²,
LI Xiaojun²

1.
Department of Civil Engineering, Tsinghua University, Beijing 100084, China
2.
Institute of Defense Engineering, AMS, PLA, Beijing 100036, China

摘要

摘要: 为了深入探讨双钢板混凝土结构抗强冲击时后附钢板的耗能方式变化，基于最小耗能原理和无量纲化分析，反推得到了不同材料和结构尺寸下后附钢板耗能状态。结合混凝土强度极限条件，建立了兼顾塑性变形和侵彻贯穿破坏形态的后附钢板综合耗能计算公式以及后附钢板最小临界厚度解析表达式。计算结果表明，薄钢板综合耗能可达仅考虑贯穿效应耗能的4~5倍。基于能量守恒原理，提出了双钢板混凝土遮弹层防贯穿设计六步法，给出了弹体临界贯穿速度和弹体余速计算公式。该计算公式与已有钢板混凝土结构侵彻试验结果吻合较好。
- 双钢板混凝土遮弹层 /
- 能量法 /
- 侵彻贯穿 /
- 设计计算方法
Abstract: The calculation method of double-skin steel-concrete shield based on the energy method is discussed. Under the premise of a rigid projectile, the main structures that affect the energy dissipation of projectile penetration are front and rear steel plates, internal concrete, tied bars and distribution layer. In this paper, the energy consumption of steel plate in elastic state, plastic state and plastic membrane state is analyzed. Based on the principle of minimum energy consumption and dimensionless analysis, the energy consumption states of the rear steel plate of different materials and structural dimensions are inversely deduced. Combined with the strength limit condition of concrete, the formula for calculating the comprehensive energy consumption of the rear steel plate considering the plastic deformation and the penetration failure mode is proposed, and the analytical expression for the minimum critical thickness of the rear steel plate is given. The calculation results indicate that the comprehensive energy consumption of the sheet steel plate can reach 4−5 times that of merely considering the penetration effect. In view of the restraint effect of steel plates on both sides of concrete, the current relatively mature formula of concrete penetration energy consumption is modified. Based on the principle of energy conservation, a six-step method for designing double-skin steel-concrete shield is proposed, and the formula for calculating the critical penetration velocity of the projectile is given. The theoretical results are then compared with the existing test data. It indicates that the calculation formulas proposed in this paper are in good agreement with the test results and can provide a scientific guideline for the design of double-skin steel-concrete shield. The main principle of the six-step method is to take a full account of the plastic deformation energy consumption of the rear steel plate and the anti-penetration energy consumption of the front steel plate. This method is beneficial to reduce the thickness of the double-skin steel-concrete shield and improve the protection effect.
- double-skin steel-concrete shield /
- energy approach /
- perforation /
- design and calculation method

HTML全文

图 1 金属板不同破坏形式

Figure 1. Different failure modes of metal plates

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图 2 刚性弹侵彻双钢板混凝土遮弹层的机理

Figure 2. Mechanism of a rigid projectile perforating on a double-skin steel-concrete shield

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图 3 后附钢板塑性响应变形示意图

Figure 3. Schematic diagram of plastic responsedeformation of rear steel plate

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图 4 后附钢板承受冲击荷载示意图

Figure 4. Schematic diagram of rear steel plate bearing impact load

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图 5 钢板厚度和挠度变化对耗能的影响

Figure 5. Influence of deflection and thickness change on energy consumption of steel plate

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图 6 钢板塑性变形对耗能的影响

Figure 6. Effect of plastic deformation of steel plates on energy consumption

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图 7 弹体及靶标示意图^[14]

Figure 7. Overviews of the projectile and steel-concrete target^[14]

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图 8 弹体及靶标示意图^[16]

Figure 8. Overview of missile and steel-concrete target^[16]

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表 1 钢板混凝土结构常用材料和结构参数

Table 1. Common material and structural parameters of steel plate concrete structure

E_s/GPa	Y_s/MPa	$\upsilon _{\rm{s}} $	$ \bar \varepsilon $	f_c/MPa	ρ_c/（kg·m⁻³）	γ	λ_p		$ {\bar \lambda _\omega } $
E_s/GPa	Y_s/MPa	$\upsilon _{\rm{s}} $	$ \bar \varepsilon $	f_c/MPa	ρ_c/（kg·m⁻³）	γ	带拉筋	无拉筋	带拉筋	无拉筋
210	400	0.3	0.2	32	2400	12.50	5.63	7.63	2.51	3.41
210	400	0.3	0.2	80	2400	5.00	5.63	7.63	2.51	3.41
210	700	0.3	0.15	32	2400	21.88	5.63	7.63	2.18	2.95
210	700	0.3	0.15	80	2400	8.75	5.63	7.63	2.18	2.95

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表 2 文献[14]侵彻试验结果与公式计算结果对比

Table 2. Comparison between penetration test results in reference [14] and calculation results in this paper

试验编号	迎弹面钢板厚度/ mm	后附钢板厚度/ mm	混凝土抗压强度/ MPa	试验弹体着靶速度/(m·s⁻¹)	试验结果	本文公式计算的临界贯穿速度/(m·s⁻¹)	预测是否准确
St-1-1-A	1	1	26	316	未贯穿	344	准确
St-1-1-B	1	1	26	338	未贯穿	344	准确
St-1-1-C	1	1	26	349	贯穿	344	准确
St-1-2-A	1	2	26	320	未贯穿	354	准确
St-1-2-B	1	2	26	324	未贯穿	354	准确
St-1-2-C	1	2	26	331	未贯穿	354	准确
St-1-2	1	2	50	393	未贯穿	402	准确
St-2-1-A	2	1	26	335	未贯穿	354	准确
St-2-1-B	2	1	26	350	未贯穿	354	准确
St-2-1-C	2	1	26	431	贯穿	354	准确

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表 3 公式计算结果与侵彻试验结果^[16]的对比

Table 3. Comparison of calculation results with penetration test results^[16]

试验编号	后附钢板厚度/mm	试验弹体着靶速度/(m·s⁻¹)	试验结果	试验弹体余速/ (m·s⁻¹)	本文公式计算结果
试验编号	后附钢板厚度/mm	试验弹体着靶速度/(m·s⁻¹)	试验结果	试验弹体余速/ (m·s⁻¹)	临界贯穿速度/(m·s⁻¹)	预测是否准确	弹体余速/(m·s⁻¹)	与试验结果的误差/%
1-1	1	641.5	贯穿	272	572	准确	290	6.6
1-2	1	540	未贯穿	0	572	准确	0	0
1-3	1	601	贯穿	180	572	准确	184	2.2
1-4	1	679	贯穿	329	572	准确	365	10.9
1-5	1	737	贯穿	422	572	准确	464	10.0

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