Interaction of Underwater Explosion Bubble With Complex Elastic-Plastic Structure

ZHANG A-man; YAO Xiong-liang

Volume 29 Issue 1

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(1): 81-92

ZHANG A-man, YAO Xiong-liang. Interaction of Underwater Explosion Bubble With Complex Elastic-Plastic Structure[J]. Applied Mathematics and Mechanics, 2008, 29(1): 81-92.

Citation:

ZHANG A-man, YAO Xiong-liang. Interaction of Underwater Explosion Bubble With Complex Elastic-Plastic Structure[J]. Applied Mathematics and Mechanics, 2008, 29(1): 81-92.

Citation:

ZHANG A-man, YAO Xiong-liang. Interaction of Underwater Explosion Bubble With Complex Elastic-Plastic Structure[J]. Applied Mathematics and Mechanics, 2008, 29(1): 81-92.

PDF( 576 KB)

Interaction of Underwater Explosion Bubble With Complex Elastic-Plastic Structure

College of Ship Building Engineering, Harbin Engineering University, Harbin 150001, P. R. China

Received Date: 2007-03-21
Rev Recd Date: 2007-12-10
Publish Date: 2008-01-15

Abstract

Abstract

Considering structure of elastic-plasticity, the combination of boundary element method and finite element method (FEM) was employed to present the calculation method for solving the complex coupling dynamic problem of bubble, plastic-elastic structure and free surface, and the complete threedimensional calculation program was developed as well. The error between calculated result yielded by the program and experimental result is within 10%. Taking surface ship as an example, the three-dimensional calculation program was converted in order to conveniently settle complex elastic-plastic structure problem in engineering field. Finally, a full system of coupling dynamic analysis program was completed, which is fit for solving interaction of three-dimensional bubble with elasticplastic structure in engineering application, aiming at present preference for further research on dynamics of bubble induced by ship underwater explosion. By employing the program, the response of ship under the bubble loading is analyzed. From the wall pressure-time history and stress-time history curves of typical elements of structure, it can be seen that the pressure reaches maximum when the bubble collapses and this validates that the pressure generated by the collapsing of bubble and the jet causes serious damage to the ship structure. From the dynamic process of the interaction of the threedimensional bubble and ship, the low order mode of the ship is provoked and the ship presents whipshaped motion. And the ship does elevation and subsidence movement with the expansion and shrinkage motion of the bubble.
- underwater explosion,
- toroidal bubble,
- jet,
- elastic-plastic,
- ship,

FullText(HTML)

References(25)

References

[1]	Rayleigh J W. On the pressure developed in a liquid during the collapse of a spherical cavity[J].Philos Magazine,1917,34(3):94-98. doi: 10.1080/14786440808635681
[2]	Naude C F, Ellis A T. On the mechanism of cavitation damage by non-hemispherical cavities in contact with a solid boundary[J].ASME Journal of Basic Engineering,1961,83(5)：648-656. doi: 10.1115/1.3662286
[3]	Benjamin T B, Ellis A T.The collapse of cavitation bubbles and the pressures thereby produced against solid boundaries[J].Philosophical Transactions of the Royal Society of London,1966，260(6)：221-240.
[4]	Plesset M S, Chapman R B.Collapse of an initially spherical vapor cavity in the neighborhood of a solid boundary[J].Journal of Fluid Mechanics，1971，47(3)：283-290. doi: 10.1017/S0022112071001058
[5]	Blake J R, Taib B B, Doherty G. Transient cavities near boundaries Part Ⅰ-Rigid boundary[J].Journal of Fluid Mechanics,1986,170(4): 479-497. doi: 10.1017/S0022112086000988
[6]	Chan P C, Kan K K, Stuhmiller J M. Computational study of bubble- structure interaction[J].Journal of Fluids Engineering,2000,122(2): 783-790. doi: 10.1115/1.1319157
[7]	Zhang Y L, Yeo K S, Khoo B C,et al.3D jet impact and toroidal bubbles[J].Journal of Computational Physics,2001,166(2): 336-360.[JP3]. Kalumuck K M, Chahine G L, Duraiswami R. Bubble dynamics fluid-structure interaction simulation by coupling fluid BEM and structural FEM codes[J].Journal of Fluids and Structures,1995,9(2):861-883. doi: 10.1006/jfls.1995.1049
[9]	Klaseboer E, Hung K C,Wang C,et al.Experimental and numerical investigation of the dynamics of an underwater explosion bubble near a resilient/rigid structure[J].Journal of Fluid Mechanics,2005,537(6): 387-413. doi: 10.1017/S0022112005005306
[10]	戴遗山.舰船在波浪中运动的频率与时域势流理论[M].北京：国防工业出版社,1998.
[11]	Cole R H.Underwater Explosion[M].Princeton,New Jersey USA:Princeton University Press, 1948.
[12]	戚定满，鲁传敬.单空泡演化及辐射噪声[J].上海交通大学学报，1998,32(12): 50-54.
[13]	戚定满，鲁传敬，何友声.两空泡运动特性研究[J].力学季刊，2000,21(1):16-20.
[14]	鲁传敬.三维水下爆炸气泡的数值模拟[J].航空学报，1996,17(1):92-95.
[15]	Wang C, Khoo B C.An indirect boundary element method for three- dimensional explosion bubbles[J].Journal of Computational Physics,2004,194(2): 451-480. doi: 10.1016/j.jcp.2003.09.011
[16]	姚熊亮, 张阿漫.简单Green函数法模拟三维水下爆炸气泡运动[J].力学学报，2006，38(6):749-759.
[17]	Wang Q X, Yeo K S,Khoo B C,et al.Strong interaction between a buoyancy bubble and a free surface[J].Theoretical and Computational Fluid Dynamics,1996,8(3): 73-88. doi: 10.1007/BF00312403
[18]	Wang Q X, Yeo K S, Khoo B C,et al.Nonlinear interaction between gas bubble and free surface[J].Computers & Fluids,1996,25(7): 607-628.[JP3]. Lundgren T S,Mansour N N. Vortexring bubbles[J].Journal of Fluid Mechanics,1991，224(5):177-196. doi: 10.1017/S0022112091001702
[20]	Best J P. The rebound of toroidal bubbles[A].In:Blake J R,Boulton-Stone J M,Thomas N H,Eds.IUTAM Symposium on Bubble Dynamics and Interface Phenomena[C].Kluwer,Dordrecht:Springer,1994，405-412.
[21]	Zhang S G, Duncan J H, Chahine G L. The final stage of the collapse of a cavitation bubble near a rigid wall[J].Journal of Fluid Mechanics,1993,257(4):147-181. doi: 10.1017/S0022112093003027
[22]	Zhang S, Duncan J H. On the nonspherical collapse and rebound of a cavitation bubble[J].Physics of Fluids,1994,6(7):2352-2362. doi: 10.1063/1.868185
[23]	Klaseboer E, Khoo B C, Hung K C. Dynamics of an oscillating bubble near a floating structure[J].Journal of Fluids and Structures,2005,10(2):1-10.
[24]	Wang C, Khoo B C,Yeo K S. Elastic mesh technique for 3D BIM simulation with an application to underwater explosion bubbles[J].Computers and Fluids,2003,32(9):1195-1212. doi: 10.1016/S0045-7930(02)00105-6
[25]	顾懋祥，程贯一，张效慈.平头旋转壳撞水水弹性效应的研究[J].水动力力学研究与进展, 1991,6(5)：42-51.
[26]	Belytschko T, Mullen R. Two-dimensional Fluid-structure impact computation with regulation[J].Computer Methods on Applied Mechanics and Engineering,1981,27(2): 139-154. doi: 10.1016/0045-7825(81)90146-8
[27]	李国华，李玉节，张效慈，等.气泡运动与舰船设备冲击振动关系的试验验证[J].船舶力学,2005,9(1):98-105.

Relative Articles

[1]	TANG Hao, LIU Yunlong, FENG Jituan, JU Xinyang, ZHANG Aman. Eulerian Finite-Element Numerical Simulation Investigation on the Dynamic Characteristics of Out-of-Phase Bubbles in Underwater Explosions[J]. Applied Mathematics and Mechanics, 2023, 44(8): 895-908. doi: 10.21656/1000-0887.440047
[2]	DU Zhipeng, ZHANG Lei, CHEN Yong, HUA Hongxing. Reduced-Scale Experiment Study on the Protective Mechanism of Foam Coating Against Underwater Explosion Bubble Jet[J]. Applied Mathematics and Mechanics, 2022, 43(5): 569-576. doi: 10.21656/1000-0887.420367
[3]	LUO Gang, ZHANG Yulong, PAN Shaokang, JIA Hanghang, LIU Chang. Response Parameter Analysis of Submerged Floating Tunnels Under Underwater Shock[J]. Applied Mathematics and Mechanics, 2020, 41(5): 467-479. doi: 10.21656/1000-0887.400249
[4]	ZHANG A-man, REN Shao-fei, LI Qing<, LI Jia. 3D Numerical Simulation on the Fluid-Structure Interaction of Structure Subjected to Underwater Explosion With Cavitation[J]. Applied Mathematics and Mechanics, 2012, 33(9): 1115-1128. doi: 10.3879/j.issn.1000-0887.2012.09.008
[5]	ZHANG Zhen-hua, WANG Yu, ZHANG Li-jun, YUAN Jian-hong, ZHAO Hai-feng. Similarity Research of Anomalous Dynamic Response of Ship Girder Subjected to Near Field Underwater Explosion[J]. Applied Mathematics and Mechanics, 2011, 32(12): 1391-1404. doi: 10.3879/j.issn.1000-0887.2011.12.001
[6]	ZHANG A-man, NI Bao-yu, SONG Bing-yue, YAO Xiong-liang. Numerical Simulation of the Bubble Breakup Phenomena in the Narrow Flow Field[J]. Applied Mathematics and Mechanics, 2010, 31(4): 420-432. doi: 10.3879/j.issn.1000-0887.2010.04.004
[7]	ZHANG A-man, ZENG Ling-yu, WANG Shi-ping, YANG Shu-tao, YAO Xiong-liang, WEN Xue-you. Study on Fusion Dynamics of Underwater Explosion Bubbles[J]. Applied Mathematics and Mechanics, 2010, 31(2): 163-170. doi: 10.3879/j.issn.1000-0887.2010.02.005
[8]	LIU Teng-xi, HUANG Shi-qing, FU Yi-ming. The Constitutive Equations for Mixed Hardening Orthotropic Material[J]. Applied Mathematics and Mechanics, 2003, 24(2): 192-196.
[9]	WANG Zhi-liang, ZHOU Zhe-wei. Effect of Heat Exchange on the Interfacial Instability of Gas-Liquid Jet[J]. Applied Mathematics and Mechanics, 2003, 24(7): 661-668.
[10]	SUN De-chuan, HU Chun-bo, CAI Ti-min. Computation of Supersonic Turbulent Flowfield With Transverse Injection[J]. Applied Mathematics and Mechanics, 2002, 23(1): 99-105.
[11]	YI Zhi-jian, YAN Bo. General Form of Matching Equation of Elastic-Plastic Field Near Crack Line for Mode Ⅰ Crack Under Plane Stress Condition[J]. Applied Mathematics and Mechanics, 2001, (10): 1058-1066.
[12]	ZHANG Hong-wu, ZHONG Wan-xie, GU Yuan-xian. A New Method for Solution of 3D Elastic-Plastic Frictional Contact Problems[J]. Applied Mathematics and Mechanics, 2001, 22(7): 673-681.
[13]	CHEN Zheng-han, HUANG Hai, LU Zai-hua. Non-Linear and Elasto-Plasticity Consolidation Models of Unsaturated Soil and Applications[J]. Applied Mathematics and Mechanics, 2001, 22(1): 93-103.
[14]	Cai Xianhui, Wu Ruifeng, Qi Baohui. Inelastic Coupled Response of Eccentric Buildings With Respect to Different Earthquake Intensity[J]. Applied Mathematics and Mechanics, 2000, 21(5): 451-458.
[15]	Gan Hong. Numerical Analysis of theLarge Deflection of an Elastic-Plastic Beam[J]. Applied Mathematics and Mechanics, 2000, 21(6): 633-639.
[16]	Lü Anjun, Cao Zhiyuan. Elasto-Plastic Coupled Analysis of Buried Structure and Soil Medium by Perturbational Semi-Analytic Method[J]. Applied Mathematics and Mechanics, 1998, 19(4): 335-339.
[17]	Su Xiaofeng, Chen Haoran. A Study of the Elasto-Plastic Axially Tensile Properties of Metal Matrix Composites with Fiber-End Debonding[J]. Applied Mathematics and Mechanics, 1996, 17(8): 685-688.
[18]	Wu Chengping, Wang Cheng. Near Crack Line Elastic-Plastic Analysis for a Crack Loaded by Antiplane Point Forces[J]. Applied Mathematics and Mechanics, 1996, 17(12): 1059-1064.
[19]	Yin Fuxin, Sun Huanchun. A Condensed Method for Linear Complementary Equations of Elasto-Plastic Problems[J]. Applied Mathematics and Mechanics, 1995, 16(10): 861-871.
[20]	Huai Wen-xin, Li Wei. Similarity Solutions of Round Jets and Plumes[J]. Applied Mathematics and Mechanics, 1993, 14(7): 615-623.