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Numerical simulation of the coupled response of stiffened structures subjected to explosion bubble loading

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Abstract

Numerical simulations of the dynamics of explosion bubbles and their interactions with stiffened structures are performed using the three-dimensional boundary integral method (BIM) in conjunction with the finite element method (FEM). The BIM is used to investigate the bubble’s physical characteristics, while the FEM is employed to calculate the structural response. This study aims to develop a procedure that considers multiple factors, such as fluid–structure interactions, non-spherical bubble oscillation, transient dynamic response, and stiffening patterns, to investigate the transient response of a structure subjected to an explosion bubble. Code validation comparisons between the numerical results, the analytically bubble model, and the experimental data are carried out. For the stiffened structure, the results indicate that significant effects of various strengthening strategies on the structural deformation are observed, including modification of the deformation pattern and the bubble loading. The effects of the stiffening schemes on the pressure distributions of the bodies, the bubble dynamics, and the structural response characteristics are investigated, including a higher frequency oscillation superimposed on a lower frequency motion in the vertical direction, during the various bubble evolution phases.

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References

  1. Zhang N, Zong Z (2011) The effect of rigid-body motions on the whipping response of a ship hull subjected to an underwater bubble. J Fluids Struct 27(8):1326–1336

    Google Scholar 

  2. Dular M, Požar T, Zevnik J (2019) High speed observation of damage created by a collapse of a single cavitation bubble. Wear 418:13–23

    Google Scholar 

  3. Choi J-K, Chahine GL (2015) Quantitative evaluation of erosive cavitation pressure field from pits in material: fact or myth? In: Proceedings of the Journal of Physics: Conference Series, F, 2015 [C]. IOP Publishing

  4. Hsiao C-T, Chahine GL (2015) Dynamic response of a composite propeller blade subjected to shock and bubble pressure loading. J Fluids Struct 54:760–783

    Google Scholar 

  5. Hsiao CT, Choi J-K, Singh S et al (2013) Modelling single- and tandem-bubble dynamics between two parallel plates for biomedical applications. J Fluid Mech 716(2):137–170

    MathSciNet  MATH  Google Scholar 

  6. Li S, Khoo BC, Zhang A-M et al (2018) Bubble-sphere interaction beneath a free surface. Ocean Eng 169:469–483

    Google Scholar 

  7. Blake JR, Gibson D (1981) Growth and collapse of a vapour cavity near a free surface. J Fluid Mech 111:123–140

    Google Scholar 

  8. Wang QX (2004) Numerical simulation of violent bubble motion. Phys Fluids 16(5):1610–1619

    MATH  Google Scholar 

  9. Brujan EA, Takahira H, Ogasawara T (2019) Planar jets in collapsing cavitation bubbles. Exp Therm Fluid Sci 101:48–61

    Google Scholar 

  10. Wang Q, Yeo K, Khoo B et al (2005) Vortex ring modelling of toroidal bubbles. Theor Comput Fluid Dyn 19(5):303–317

    MATH  Google Scholar 

  11. Cui P, Wang Q, Wang S et al (2016) Experimental study on interaction and coalescence of synchronized multiple bubbles. Phys Fluids 28(1):012103

    Google Scholar 

  12. Hopfes T, Wang Z, Giglmaier M et al (2019) Collapse dynamics of bubble pairs in gelatinous fluids. Exp Therm Fluid Sci 108:104

    Google Scholar 

  13. Chew LW, Klaseboer E, Ohl S-W et al (2013) Interaction of two oscillating bubbles near a rigid boundary. Exp Therm Fluid Sci 44:108–113

    Google Scholar 

  14. Pain A, Hui Terence Goh B, Klaseboer E et al (2012) Jets in quiescent bubbles caused by a nearby oscillating bubble. J Appl Phys 111(5):054912

    Google Scholar 

  15. Kalumuck K, Duraiswami R, Chahine G (1995) Bubble dynamics fluid–structure interaction simulation by coupling fluid BEM and structural FEM codes. J Fluids Struct 9(8):861–883

    Google Scholar 

  16. Duncan J, Milligan C, Zhang S (1996) On the interaction between a bubble and a submerged compliant structure. J Sound Vib 197(1):17–44

    Google Scholar 

  17. Li Z, Sun L, Zong Z (2013) Numerical analysis of gas bubbles in close proximity to a movable or deformable body. Arch Appl Mech 83(12):1715–1737

    MATH  Google Scholar 

  18. Klaseboer E, Hung K, Wang C et al (2005) Experimental and numerical investigation of the dynamics of an underwater explosion bubble near a resilient/rigid structure. J Fluid Mech 537:387–413

    MATH  Google Scholar 

  19. Li S, Zhang A-M, Han R et al (2019) 3D full coupling model for strong interaction between a pulsating bubble and a movable sphere. J Comput Phys 392:713

    MathSciNet  Google Scholar 

  20. Zong Z, Wang J-X, Zhou L et al (2015) Fully nonlinear 3D interaction of bubble dynamics and a submerged or floating structure. Appl Ocean Res 53:236–249

    Google Scholar 

  21. Gong S, Khoo BC (2015) Transient response of stiffened composite submersible hull to underwater explosion bubble. Compos Struct 122:229–238

    Google Scholar 

  22. Bing HTG, Gong SW, Ohl SW et al (2016) Spark-generated bubble near an elastic sphere. Int J Multiph Flow 90:156–166

    Google Scholar 

  23. Gong S (2019) Transient response of stiffened composite submersible hull to underwater shock and bubble. Compos Struct 213:243–251

    Google Scholar 

  24. Gannon L (2019) Submerged aluminum cylinder response to close-proximity underwater explosions—a comparison of experiment and simulation. Int J Impact Eng 133:103339

    Google Scholar 

  25. Gupta NK, Kumar P, Hegde S (2010) On deformation and tearing of stiffened and un-stiffened square plates subjected to underwater explosion—a numerical study. Int J Mech Sci 52(5):733–744

    Google Scholar 

  26. Barras G, Souli M, Aquelet N et al (2012) Numerical simulation of underwater explosions using an ALE method The pulsating bubble phenomena. Ocean Eng 41:53–66

    Google Scholar 

  27. Wang J-X, Zong Z, Liu K et al (2018) Simulations of the dynamics and interaction between a floating structure and a near-field explosion bubble. Appl Ocean Res 78:50–60

    Google Scholar 

  28. Vernon TA (1986) Whipping response of ship hulls from underwater explosion bubble loading [R]. In: Defence Research Establishment Atlantic, 1986.

  29. Plesset MS (1949) The dynamics of cavitation bubbles. J Appl Mech 16:277–282

    Google Scholar 

  30. Wang C, Khoo B (2004) An indirect boundary element method for three-dimensional explosion bubbles. J Comput Phys 194(2):451–480

    MATH  Google Scholar 

  31. Boyce PD (2003) Report of underwater explosion tests [R], 2003

  32. Blake JR, Gibson D (1987) Cavitation bubbles near boundaries. Annu Rev Fluid Mech 19(1):99–123

    Google Scholar 

  33. Han R, Li S, Zhang A et al (2016) Modelling for three dimensional coalescence of two bubbles. Phys Fluids 28(6):062104

    Google Scholar 

  34. Zhang A, Yao X, Li J (2008) The interaction of an underwater explosion bubble and an elastic–plastic structure. Appl Ocean Res 30(3):159–171

    Google Scholar 

  35. Klaseboer E, Fernandez CR, Khoo BC (2009) A note on true desingularisation of boundary integral methods for three-dimensional potential problems. Eng Anal Bound Elem 33(6):796–801

    MathSciNet  MATH  Google Scholar 

  36. Wilkerson S (1990) A boundary integral approach for three-dimensional underwater explosion bubble dynamics. Johns Hopkins University, Baltimore

    Google Scholar 

  37. Zhang Y, Yeo K, Khoo B et al (2001) 3D jet impact and toroidal bubbles. J Comput Phys 166(2):336–360

    MATH  Google Scholar 

  38. Wang C, Khoo B, Yeo K (2003) Elastic mesh technique for 3D BIM simulation with an application to underwater explosion bubble dynamics. Comput Fluids 32(9):1195–1212

    MATH  Google Scholar 

  39. Nastran MSC (2010) Quick Reference Guide [R], 2010

  40. Zong Z (2005) A hydroplastic analysis of a free–free beam floating on water subjected to an underwater bubble. J Fluids Struct 20(3):359–372

    MathSciNet  Google Scholar 

  41. Zhang N, Zong Z (2011) The effect of rigid-body motions on the whipping response of a ship hull subjected to an underwater bubble. J Fluid Struct 27(8):1326–1336

    Google Scholar 

  42. Snay H, Goertner J, Price R (1952) Small scale experiments to determine migration of explosion gas globes towards submarines. Navord Rep 2280(1):1–15

    Google Scholar 

  43. Chahine G, Kalumuck K (1998) BEM software for free surface flow simulation including fluid–structure interaction effects. Int J Comput Appl Technol 11(3):177–198

    Google Scholar 

  44. Klaseboer E, Khoo B, Hung K (2005) Dynamics of an oscillating bubble near a floating structure. J Fluids Struct 21(4):395–412

    Google Scholar 

  45. Chahine G, Kalumuck K, Hsiao C-T (2003) Simulation of surface piercing body coupled response to underwater bubble dynamics utilizing 3DYNAFS, a three-dimensional BEM code. Comput Mech 32(4–6):319–326

    MATH  Google Scholar 

  46. Jen C-Y, Tai Y-S (2010) Deformation behavior of a stiffened panel subjected to underwater shock loading using the non-linear finite element method. Mater Des 31(1):325–335

    MathSciNet  Google Scholar 

Download references

Acknowledgements

Support for this research was provided by the National Natural Science Foundation of China under Award No. 51609110; No. 51779110; No. 51809122, the Natural Science Foundation of Jiangsu Province (Grant No. BK20191461) and the construction of new scientific and technological innovation team of JUST.

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Authors and Affiliations

  1. School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang, 212003, Jiangsu, China

    Jia-xia Wang, Kun Liu & Shi-jie Yuan

  2. School of Electronic Information, Jiangsu University of Science and Technology, Zhenjiang, 212003, Jiangsu, China

    Ming-zuo Jiang

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  1. Jia-xia Wang
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  2. Kun Liu
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  3. Ming-zuo Jiang
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  4. Shi-jie Yuan
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Correspondence to Kun Liu.

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Wang, Jx., Liu, K., Jiang, Mz. et al. Numerical simulation of the coupled response of stiffened structures subjected to explosion bubble loading. J Mar Sci Technol 25, 1103–1119 (2020). https://doi.org/10.1007/s00773-020-00703-y

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  • DOI: https://doi.org/10.1007/s00773-020-00703-y

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