Theoretical Analysis of the Interaction between the Plate Structure and Strong Shock Wave in Underwater Explosion
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摘要: 针对水下爆炸一维强冲击波与平板结构的瞬态流固问题开展研究,综合考虑流体和结构材料的可压缩性,引入状态方程建立强冲击波在板表面反射后的波阵面参数关系,得到板表面的反射系数。然后依据动量守恒定律建立平板的运动方程,求解得到板表面的壁压及板的速度时程,形成了水下爆炸强冲击波与平板结构相互作用的理论分析方法。在此基础上给出了强冲击波与平板相互作用的冲量传递比近似估算公式。最后开展平板结构的近距及接触水下爆炸实验,并结合数值计算对理论方法进行验证。结果表明,建立的理论方法与实验及数值模拟结果吻合良好,为水下近距爆炸强冲击波与结构的相互作用分析提供了理论基础。Abstract: To investigate the fluid-structure interaction of the one-dimensional strong shock wave with the plate, we took the compressibility of fluid and structural material into account and, by introducing state of equation of water and structural material into our theoretical analysis, obtained the reflected wave front parameter and reflection coefficient.Then, we established the motion equation of the plate according to the law of conservation of momentum and calculated the plate's wall pressure and velocity histories.Furthermore, on the basis of these results, we came up with an approximate formula for estimating the impulse transfer ratio of the interaction between the strong shock wave and the plate.Finally, we verified the theoretical approach to the shock-structure interaction by carrying out an underwater explosion experiment accompanied with numerical calculation.The results show that the theoretical method proposed here is in good agreement with experimental and numerical results.The method provides a theoretical basis for research on problems of close-in underwater explosion acting on the broadside structure.
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Key words:
- underwater explosion /
- fluid-structure interaction /
- strong shock wave /
- Hugoniot curve
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表 1 实验工况
Table 1. Experimental conditions
No. w/(g) R/(mm) hp/(mm) 1 9.91 46.0 3 2 9.91 23.0 3 3 9.91 11.5 3 表 2 不同工况下速度峰值及壁压峰值实验结果与数值计算结果的比较
Table 2. Experimental and numerical results of peak velocities and pressures at different conditions
No. R/(mm) vm/(m/s) δ1/(%) pm/(MPa) δ2/(%) Exp. Num. Exp. Num. 1 46.0 161 153 -4.9 1002 1020 1.8 2 23.0 316 300 -5.1 3462 3734 7.3 3 11.5 580 555 -4.3 表 3 不同工况下理论计算与数值模拟结果比较
Table 3. Comparison between theoretical and numerical results at different conditions
No. R hp/
(mm)w/
(g)pm/(MPa) δ1/(%) vm/(m/s) δ2/(%) ζ δ3/(%) Theory Num. Theory Num. Theory Num. 1 6R0 4 50 534 526 1.5 106 107 -1.6 0.34 0.32 6.6 2 3R0 4 50 1966 1937 1.5 231 250 -7.6 0.43 0.44 -2.4 3 2R0 4 50 4574 4806 -4.8 341 418 -18.3 0.49 0.55 -9.9 4 6R0 3 9.91 500 473 5.7 92 89 3.4 0.37 0.34 9.5 5 4R0 3 9.91 1014 1002 1.0 146 161 -9.3 0.39 0.40 -1.7 6 3R0 3 9.91 1727 1634 5.7 198 195 1.8 0.41 0.42 -3.0 7 2R0 3 9.91 4055 3462 17.1 291 316 -7.2 0.53 0.57 -6.9 -
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