水下爆炸船体梁总体响应特性数值模拟

刘丽滨; 李海涛; 刁爱民; 张海鹏; 杨理华

doi:10.11858/gywlxb.20210735

水下爆炸船体梁总体响应特性数值模拟

doi: 10.11858/gywlxb.20210735

1.
海军潜艇学院，山东青岛　266199
2.
海军工程大学舰船与海洋学院，湖北武汉　430033

基金项目: 国家自然科学基金（51909267，51679244）；山东省自然科学基金（ZR2019QEE031）

详细信息

作者简介:
刘丽滨（1993－），男，硕士，主要从事舰船抗爆抗冲击研究. E-mail：hit_llbin@163.com

通讯作者:
李海涛（1979－），男，博士，副教授，主要从事舰船抗爆抗冲击研究. E-mail：navy_lht@163.com

中图分类号: O383.1
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出版历程
- 收稿日期: 2021-03-08
- 修回日期: 2021-03-29

Numerical Simulation on Dynamic Responses of Hull Girder Subjected to Underwater Explosion

1.
Navy Submarine Academy, Qingdao 266199, Shandong, China
2.
College of Naval Architecture and Ocean Engineering, Naval University of Engineering, Wuhan 430033, Hubei, China

摘要

摘要: 为研究水下非接触爆炸作用下船体梁的总体损伤特性，建立了炸药在船体梁中部正下方爆炸模型，应用船体梁总体响应数值计算方法，并结合缩比船体梁模型，试验验证了该方法的有效性，从损伤模式、频率响应等方面研究了船体梁的总体响应特性。结果表明：该数值方法较好地模拟了第一次气泡脉动阶段内梁的响应周期和幅值；在气泡脉动频率接近船体梁一阶湿频率时，随着爆径比减小，船体梁的总体响应模式由鞭状运动逐渐向中垂损伤转变。
- 水下爆炸 /
- 船体梁 /
- 动态响应 /
- 数值模拟
Abstract: In order to study the overall damage characteristics of hull girder subjected to non-contact underwater explosion, a numerical method was established in which an explosive charge was located at the mid-span of the hull girder. The effectiveness of this method was verified by the model test. The damage mode and frequency response were studied to analyze the overall response of the hull girder. Results showed that the numerical method can simulate the response period and amplitude of the hull girder during the first bubble pulsation phase. When the bubble pulsation frequency approximated the first wet frequency of the hull girder, the response mode of girder will transform from whipping motion to sagging with the decrease of the ratio of stand-off to maximum bubble radius.
- underwater explosions /
- hull girder /
- dynamic response /
- numerical simulation

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图 1 船体梁结构及测点布置

Figure 1. Structure of hull girder and locations of sensors

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图 2 有限元模型

Figure 2. Finite element model

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图 3 船体梁变形过程的数值计算(a)和试验结果(b)对比

Figure 3. Comparison of numerical simulations (a) and experimental results (b) of the hull girder deformation

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图 4 工况1船体梁中点位移的试验和数值模拟结果对比

Figure 4. Comparison of experimental and numerical results of the girder’s midpoint displacement in case 1

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图 5 工况2船体梁中点位移的试验和数值模拟结果对比

Figure 5. Comparison of experimental and numerical results of the girder’s midpoint displacement in case 2

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图 6 工况6中S₁测点的应变时程曲线

Figure 6. Strain-time history of point S₁ in case 6

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图 7 工况7下测点S₁和S₄的应变时程曲线

Figure 7. Strain-time histories of points S₁ and S₄ in case 7

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图 8 工况6中总体及局部变形

Figure 8. Overall and local deformation in case 6

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图 9 工况7中总体及局部变形

Figure 9. Overall and local deformation in case 7

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图 10 工况1中测点S₁的加速度时程曲线

Figure 10. Acceleration-time history of point S₁ in case 1

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表 1 材料参数^[16-17]

Table 1. Material parameters^[16-17]

A/MPa	B/MPa	C	n	m
507	320	0.28	6.40×10^–2	1.06

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表 2 工况相关计算参数

Table 2. Calculation parameters of working conditions

No.	W/g	R/m	R/r	T/ms
1	5	1.00	3.79	47
2	5	0.70	2.63	48
3	5	0.55	2.05	49
4	5	0.50	1.86	49
5	5	0.40	1.49	50
6	5	0.30	1.05	50
7	30	0.50	1.04	89
8	5	0.20	0.74	51

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表 3 湿频率的比较

Table 3. Comparison of wet frequencies

Method	f₁/Hz	f₂/Hz
Acoustic structure coupling method	19.6
Attached water quality method	22.1	37.3

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表 4 不同工况下船体梁的变形情况

Table 4. Final deformation of hull girder in various cases

No.	R/r	f_b/f_B	s_h/cm	s_s/cm	s_h2/cm	Dynamic responses
1	3.79	1.15	0.74	0.89	1.54	Whipping motion
2	2.63	1.13	0.84	2.62	2.04	Whipping motion
3	2.05	1.13	0.79	2.67	2.87	Mild sagging
4	1.86	1.11	0.90	3.16	2.32	Mild sagging
5	1.49	1.09	1.26	5.49	0.59	Sagging
6	1.05	1.09	0.89	6.88	1.49	Sagging
7	1.04	0.61	6.63	18.90	4.60	Hogging
8	0.74	1.00	0.84	2.69	2.04	Sagging

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