Whipping responses of double cylindrical shell structures to underwater explosion based on DAA2
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摘要: 针对潜艇在水下爆炸载荷下的鞭状运动，从波动方程出发，推导了二阶双渐近法后期近似，并结合声固耦合法初步解决了双层圆柱壳的内域问题，然后将其与显式有限元耦合形成了圆柱壳结构水下爆炸流固耦合分析方法。通过简单算例验证了本文分析方法的有效性和精度。最后，基于此方法分析了双层圆柱壳结构在水下爆炸载荷下的总体响应特性以及周期比和爆距比对其影响规律。Abstract: Aimed at the whipping response of submarines to underwater explosion, the later approximation of the second－order doubly－asymptotic approximation(DAA2)based on the wave equation was deduced in time domain, and the inner field problem of the double cylindrical shell structure was solved by combining DAA2with the acoustic－structure interaction method.Then coupled with the explicit finite element, a fluid－structure interaction method was established for analyzing the underwater shock of submarines.The numerical method established was validated by comparing its results with the analytical ones of a simple case that is about a water－filled elastic spherical shell subjected to a planar step wave.At last, by using the numerical method, the whipping responses of double cylindrical shell structures to underwater explosion were analyzed and the influences of period ratios and explosion distance ratios were explored.
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图 2 水下爆炸气泡脉动载荷计算示意图
Figure 2. Scheme of the calculation of underwater explosion bubble pulsation load
图 6 双层圆柱壳总体响应计算示意图
Figure 6. Configuration of the total response simulation of double cylindrical structure
图 9 工况1鞭状运动幅值和冲击载荷曲线
Figure 9. Curves of whipping response to shock pressure in case 1
图 10 工况2鞭状运动幅值和冲击载荷曲线
Figure 10. Curves of whipping response to shock pressure in case 2
图 11 工况5鞭状运动幅值和冲击载荷曲线
Figure 11. Curves of whipping response to shock pressure in case 5
图 13 鞭状运动最大幅值随周期比的变化
Figure 13. The maximum amplitude of the whipping response varied with period ratio
图 14 爆距对鞭状运动幅值的影响
Figure 14. Effect of explosion distance on the amplitude of the whipping response
图 15 鞭状运动最大幅值随爆距比的变化
Figure 15. The maximum amplitude of the whipping response varied with explosion distance ratio
表 1 柱壳总体响应工况设置
Table 1. Case parameters for total responses of cylindrical shell structures
工况 d/m Tb/s γT 1 60 0.61 1.60 2 70 0.55 1.43 3 80 0.49 1.30 4 90 0.45 1.19 5 100 0.42 1.10 6 120 0.36 0.96 7 140 0.32 0.85 8 160 0.29 0.76 
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表 2 柱壳总体响应工况设置
Table 2. Case parameters for total response
工况 R/m γR 1 10 0.13 2 20 0.27 3 35 0.47 4 50 0.67 5 65 0.87
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