强冲击载荷下单向加筋板拉伸撕裂的临界条件

姚熊亮; 周晏霈; 王治; 魏庆媛

doi:10.11883/bzycj-2023-0182

强冲击载荷下单向加筋板拉伸撕裂的临界条件

doi: 10.11883/bzycj-2023-0182

1.
哈尔滨工程大学船舶工程学院，黑龙江哈尔滨 150001
2.
哈尔滨工程大学机电工程学院，黑龙江哈尔滨 150001

基金项目: 国家自然科学基金( 52001091)，中央高校基本科研业务费专项资金（3072022TS2608），黑龙江省自然科学基金联合引导项目（LH2020E075）

详细信息

作者简介:
姚熊亮（1963－　），男，博士，教授，xiongliangyao@hrbeu.edu.cn

通讯作者:
王　治（1985－　），男，博士，副教授，wang_z@hrbeu.edu.cn

中图分类号: O383; O347.3
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- 文章访问数: 131
- HTML全文浏览量: 38
- PDF下载量: 57
- 被引次数: 0
出版历程
- 收稿日期: 2023-05-17
- 修回日期: 2023-10-17
- 网络出版日期: 2023-12-21
- 刊出日期: 2024-02-06

Critical condition for tensile tearing failure of unidirectional stiffened plate under strong impact load

1.
College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang, China
2.
College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang, China

摘要

摘要: 针对固支单向加筋板在冲击载荷下的拉伸撕裂临界条件开展研究，首先将均布冲击载荷下的固支单向加筋板简化为带板梁模型，基于固支梁冲击变形理论解给出了加筋板最大永久变形理论解，之后基于复合运动场模型，修正了固支梁端点拉伸应变与最大永久变形关系式，并以等效应变达到失效应变作为拉伸撕裂条件，建立了加筋板在冲击载荷下的拉伸撕裂临界条件。经过数值模拟验证，该最大永久变形理论解和拉伸撕裂临界条件具有适用性，理论与数值误差小于15%。
- 加筋板 /
- 拉伸撕裂 /
- 塑性大变形 /
- 冲击载荷 /
- 毁伤评估
Abstract: The critical condition of tensile tearing failure of stiffened plate under impact load was studied. Firstly, the unidirectional stiffened plate with fixed support under uniform impact load was simplified into beam structure model attached with band plate. Based on the theoretical solution of the impact deformation of the fixed beam, the theoretical solution of the maximum deformation of the stiffened plate was given. At the same time, the applicable condition for calculating the large deformation of the unidirectional stiffened plate by using the “beam theory” model was given. Then, the motion mode of the fixed beam under strong impact load was divided into four stages. Based on the composite motion model, the relation between the tensile strain at the end of fixed beam and the maximum deformation of beam was corrected. Finally, taking equivalent strain equal to failure strain as the tensile tear condition, the critical condition of tensile tear of stiffened plate under impact load was established. In this paper, three unidirectional stiffened plates of T profile with different stiffness were selected, and the maximum deformation and critical tensile tearing load of the stiffened plates were analyzed by commercial finite element software LS-DYNA. The numerical simulation results show that the theoretical solution of maximum deformation of unidirectional stiffened plate and the critical condition of tensile tear failure based on the “beam theory” are applicable, and The error of theoretical and numerical simulation is less than 15%. Therefore, the theory in this paper can be applied to practical engineering prediction and has certain guiding significance.
- stiffened plate /
- tensile tear /
- large plastic deformation /
- impact load /
- damage evaluation

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图 1 带板梁示意图

Figure 1. Schematic diagram of beam structure model attached with band plate

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图 2 等效载荷示意图

Figure 2. Schematic diagram of equivalent load

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图 3 板的最终运动场示意图

Figure 3. Schematic diagram of the final motion mode of the plate

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图 4 简化的单一运动场示意图^[20]

Figure 4. Schematic diagram of simplified single motion mode^[20]

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图 5 小变形阶段塑性铰长度示意^[22]

Figure 5. Schematic of plastic hinge length in small deformation stage^[22]

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图 6 第1阶段变形

Figure 6. Deformation diagram of the first stage

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图 7 第2阶段变形

Figure 7. Deformation diagram of the second stage

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图 8 第3阶段变形

Figure 8. Deformation diagram of the third stage

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图 9 第4阶段变形

Figure 9. Deformation diagram of the fourth stage

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图 10 单向加筋板结构示意

Figure 10. Schematic of unidirectional stiffened plates

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图 11 单向加筋板结构模型

Figure 11. Unidirectional stiffened plate structure model

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图 12 实验舱室与数值模拟模型舱室

Figure 12. Experimental cabin and numerical simulation model cabin

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图 13 S1舱壁实验与模拟毁伤效果

Figure 13. Experimental and simulation damage of S1 bulkhead

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图 14 单向加筋板在8 MPa矩形冲击载荷下的位移云图

Figure 14. Displacement contour of unidirectional stiffened plate under 8 MPa rectangular impact load

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图 15 不同加筋板的变形量计算误差

Figure 15. Calculation error of deformation of different stiffened plates

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表 1 T型钢结构参数

Table 1. Structural parameters of stiffeners

加强筋	尺寸/mm
1	$ \bot \dfrac{{5 \times 80}}{{8 \times 80}}$
2	$ \bot \dfrac{{5 \times 80}}{{8 \times 100}}$
3	$ \bot \dfrac{{5 \times 100}}{{8 \times 100}}$

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表 2 Q345钢参数

Table 2. Parameters of Q345 steel

$\rho $/(kg·m⁻³)	$E$/GPa	$\nu$	${\sigma _{\text{0}}}$/MPa	${E_{\text{t}}}$/MPa	$C$	$q$	$ {\varepsilon _{\text{f}}} $
7870	212	0.31	345	1291	40	5	0.348
注：ρ为密度，ν为泊松比。

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表 3 实验舱壁结构参数

Table 3. Experimental bulkhead structural parameters

舱壁编号	板厚/mm	加强筋尺寸/mm	加强筋间距/mm	加强筋方向
S1	8	$ \bot \dfrac{{8 \times 60}}{{8 \times 18}}$	600	背爆
S2			600	迎爆
S3			300	背爆
S4			300	迎爆

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表 4 实验与模拟结果对比

Table 4. Comparison of experimental and numerical simulation results

舱壁	最大永久变形量/mm		误差/%
舱壁	实验	模拟	误差/%
S1	39.0	41.7	6.92
S2	37.0	39.2	5.95
S3	31.5	33.4	6.03
S4	27.5	27.2	1.09

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表 5 单向加筋板变形量对比

Table 5. Comparison of deformation of unidirectional stiffened plates

加强筋	矩形载荷/ MPa	最大永久变形/mm		误差/ %	加强筋	矩形载荷/ MPa	最大永久变形/mm		误差/ %	加强筋	矩形载荷/ MPa	最大永久变形/mm		误差/ %
加强筋	矩形载荷/ MPa	理论	数值模拟	误差/ %	加强筋	矩形载荷/ MPa	理论	数值模拟	误差/ %	加强筋	矩形载荷/ MPa	理论	数值模拟	误差/ %
1	8	366	326	12.27	2	8	327	320	2.19	3	8	306	307	0.33
	9	413	372	11.02		9	370	364	1.65		9	346	350	1.14
	10	459	416	10.34		10	412	405	1.73		10	387	390	0.77
	11	505	459	10.02		11	453	445	1.80		11	426	432	1.39
	12	550	502	9.56		12	494	485	1.86		12	466	471	1.06

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表 6 临界撕裂载荷验证

Table 6. Verification of critical tearing failure load

型材类型	临界载荷/MPa			与模拟结果的误差/%
型材类型	文献[20]	本文修正	模拟结果	文献[20]	本文修正
型材1	26.9	16.8	17.1	57.31	1.75
型材2	30.0	18.5	17.5	71.42	5.71
型材3	31.2	20.0	17.8	75.28	12.36

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参考文献(26)

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