水下爆炸载荷下复合点阵夹层结构冲击响应分析

毛柳伟; 祝心明; 黄治新; 李营

doi:10.19693/j.issn.1673-3185.02503

水下爆炸载荷下复合点阵夹层结构冲击响应分析

doi: 10.19693/j.issn.1673-3185.02503

1.
海军研究院，北京 100161
2.
武汉理工大学理学院，武汉 430063
3.
北京理工大学先进结构技术研究院，北京 100081

基金项目: 国家自然科学基金资助项目（11802030）

详细信息

作者简介:
毛柳伟，男，1985年生，博士，高级工程师。研究方向：舰船爆炸毁伤评估，舰船总体论证研究。E-mail：mlw_18@163.com

李营，男，1988年生，博士，教授。研究方向：爆炸毁伤与防护。 E-mail：bitliying@bit.edu.cn

通信作者:
李营

中图分类号: U661.4
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出版历程
- 收稿日期: 2021-08-26
- 修回日期: 2021-09-17
- 网络出版日期: 2022-06-20
- 刊出日期: 2022-06-30

Impact response of composite lattice sandwich plate structure subjected to underwater explosion

1.
Naval Research Academy, Beijing 100161, China
2.
School of Science, Wuhan University of Technology, Wuhan 430063, China
3.
Institute of Advanced Structure Technology, Beijing Institute of Technology, Beijing 100081, China

水下爆炸载荷下复合点阵夹层结构冲击响应分析由毛柳伟，等创作，采用知识共享署名4.0国际许可协议进行许可。

摘要

摘要: 目的为提升舰船的水下抗爆能力，针对水下爆炸冲击波作用下新型防护结构碳纤维增强复合材料（CFRP）−点阵铝夹芯板的抗冲击能量吸收性能展开研究。方法首先，利用有限元软件ABAQUS建立非药式非接触水下爆炸载荷下CFRP−点阵铝夹芯板的数值仿真模型，并验证其可靠性；然后，通过控制单一变量来分析CFRP−点阵铝夹芯板上、下面板每层纤维厚度和点阵夹芯结构杆件直径对其能量吸收性能与结构挠度的影响；最后，基于上述3种设计参数，采用实验设计方法和数值模拟方法建立代理优化模型，用于对CFRP−点阵铝夹芯板结构的能量吸收性能进行优化设计。结果结果显示：在CFRP−点阵铝夹芯板质量恒定的情况下，其优化结果可使比吸收能提高284%；在充分考虑下面板变形的情况下，优化结果的比吸收能可提高59%。结论研究表明，该CFRP−点阵铝夹芯板优化结构可有效提升其能量吸收性能，而响应面法是一种可有效提高结构能量吸收性能的优化方法。
- 水下爆炸 /
- 点阵结构 /
- 优化设计 /
- 数值模拟
Abstract: Objective In order to improve the anti-shock perfomance of ships subjected to underwater explosion, this paper studies the energy absorption and impact resistance of the new protective structure consisted of carbon fiber reinforced plastic (CFRP)-lattice aluminum sandwich plates. Methods First, finite element software ABAQUS is used to establish the numerical simulation model of CFRP-lattice aluminum sandwich plates under non-explosive and non-contact underwater explosion load, and its reliability is verified. Single variables are then controlled to analyze the influence of the fiber layer thickness of the upper and lower panels and the rod diameter of the sandwich lattice structure on the energy absorption characteristics and structural deflection of the CFRP-lattice aluminum sandwich plates. Finally, based on the above three design parameters, a surrogate optimization model is established using the experimental design method and numerical simulation methodology to optimize the energy absorption of the CFRP-lattice aluminum sandwich plate structure. Results The results show that when the mass of the CFRP-lattice aluminum sandwich plates is constant, the specific absorption of the optimized results can be increased by 284%. In full consideration of the deformation of the lower plates, the specific energy absorption of the optimized results can be increased by 59%. Conclusions This study shows that the proposed optimized structure of CFRP-lattice aluminum sandwich plates can effectively improve their energy absorption capacity, and the response surface method is an optimization method that can effectively improve the energy absorption characteristics of the structure.
- underwater explosion /
- lattice structure /
- optimization design /
- numerical simulation

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图 1 外切中心复合设计

Figure 1. Central composite circumscribed design

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图 2 随机拉丁超立方抽样

Figure 2. Random Latin hypercube sampling

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图 3 CFRP−点阵铝夹芯板的有限元模型

Figure 3. Finite element model of CFRP - lattice aluminum sandwich plate

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图 4 铝合金屈服应力−塑性应变曲线

Figure 4. Yield stress-plastic strain curve of aluminum alloy

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图 5 铝板冲击响应计算模型

Figure 5. Calculation model of impact response of aluminum plate

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图 6 铝板在水下冲击波载荷作用下变形过程剖面图

Figure 6. Profile of deformation process of aluminum plate under underwater shock wave load

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图 7 管口处冲击波压力峰值

Figure 7. Peak value of shock wave pressure at the tube opening

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图 8 CFRP板的动力响应

Figure 8. Dynamic response of CFRP plate

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图 9 改变上面板每层纤维厚度的仿真结果

Figure 9. Simulation results of changing the fiber thickness of each layer of the upper panel

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图 10 改变点阵杆件直径的仿真结果

Figure 10. Simulation results of changing the diameter of lattice rod

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图 11 改变下面板每层纤维厚度的仿真结果

Figure 11. Simulation results of changing the fiber thickness of each layer of the lower panel

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图 12 响应曲面

Figure 12. Response surface

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图 13 优化模拟仿真结果

Figure 13. Optimization simulation results

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表 1 CFRP板部分材料参数（单层）

Table 1. Partial material parameters of CFRP (lamina)

参数	数值
密度/(g·cm⁻³)	1.56
杨氏模量/MPa	42 700
剪切模量/MPa	4 400
泊松比	0.05
抗拉强度/MPa	658
抗压强度/MPa	269
剪切损伤初始剪应力/MPa	37

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表 2 铝合金部分材料参数

Table 2. Partial material parameters of aluminum alloy

参数	数值
密度/(g·cm⁻³)	2.7
杨氏模量/MPa	69 000
泊松比	0.33
断裂应变	0.125

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表 3 水的材料参数

Table 3. Material parameters of water

参数	数值
密度/(g·cm⁻³)	1
${c_0}$/(m·s⁻¹)	1 480
$s$	0
${\varGamma _0}$	0
比热/(J·kg⁻¹∙℃⁻¹)	4.2×10³
动力黏度/(Pa∙s)	1×10⁻³

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表 4 CFRP−点阵铝夹芯板模型尺寸参数

Table 4. Model parameters of CFRP−lattice aluminum sandwich plate

参数	数值
上面板每层纤维厚${t_1}$/mm	0.250
Octet点阵杆件直径${t_2}$/mm	1.000
下面板每层纤维厚${t_3}$/mm	0.250
能量/J	107.211
质量/kg	8.892
比吸收能SEA/(J·kg⁻¹)	12.057
下面板最大位移Deflection/mm	5.499

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表 5 不同工况下的仿真结果

Table 5. Simulation results at different working conditions

工况编号	上面板每层纤维厚${t_1}$/mm	Octet杆件直径${t_2}$/mm	下面板每层纤维厚${t_3}$/mm	能量/J	质量/kg	比吸收能 SEA/(J·kg⁻¹)	下面板最大位移 Deflection/mm
A	0.25	1.0	0.25	107.211	8.892	12.057	5.499
B	0.10	1.0	0.25	33.467	8.725	3.836	5.796
C	0.40	1.0	0.25	41.025	9.059	4.529	5.516
D	0.25	0.8	0.25	82.567	8.873	9.306	5.032
E	0.25	1.2	0.25	120.051	8.916	13.464	5.699
F	0.25	1.0	0.10	105.024	8.725	12.036	7.232
G	0.25	1.0	0.40	103.309	9.059	11.404	4.801

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表 6 实验设计代理优化模型及其仿真结果

Table 6. Experimental design surrogate optimization model and its simulation results

工况编号	上面板每层纤维厚${t_1}$/mm	Octet杆件直径${t_2}$/mm	下面板每层纤维厚${t_3}$/mm	能量/J	质量/kg	比吸能 SEA/(J·kg⁻¹)	下面板最大位移 Deflection/mm
1	0.250	1.000	0.250	107.211	8.892	12.057	5.499
2	0.366	1.312	0.386	210.062	9.212	22.803	5.352
3	0.106	0.873	0.313	74.100	8.789	8.431	5.391
4	0.141	1.441	0.150	216.952	8.719	24.883	7.522
5	0.144	0.782	0.103	51.873	8.590	6.039	6.443
6	0.289	0.981	0.367	108.320	9.064	11.951	4.872
7	0.348	0.526	0.189	37.265	8.894	4.190	4.679
8	0.398	1.393	0.220	291.282	9.075	32.097	6.580
9	0.304	1.096	0.122	168.305	8.821	19.080	7.027
10	0.325	1.058	0.280	165.571	9.016	18.365	5.361
11	0.185	1.560	0.263	386.789	8.913	43.397	6.406
12	0.239	0.484	0.350	26.754	8.949	2.989	4.351
13	0.267	0.640	0.178	44.872	8.799	5.100	5.189
14	0.192	1.233	0.233	221.490	8.837	25.063	6.165
15	0.215	0.726	0.334	30.697	8.921	3.441	4.794

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表 7 能量吸收优化设计及模拟结果

Table 7. Optimization design and simulation results of energy absorption

参数	优化结果	模拟结果
能量/J	−	411.272
质量/kg	−	8.885
比吸收能SEA/(J·kg⁻¹)	45.300	46.287
下面板最大位移Deflection/mm	8.757	8.327

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表 8 能量吸收与变形优化设计及模拟结果

Table 8. Optimization design and simulation results of energy absorption and deformation

参数	优化结果	模拟结果
能量/J	−	170.233
质量/kg	−	8.889
比吸收能SEA/(J·kg⁻¹)	18.367	19.151
下面板位移Deflection/mm	5.499	5.467

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