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Applied Mathematics and Mechanics

, Volume 32, Issue 12, pp 1491–1504 | Cite as

Similarity research of anomalous dynamic response of ship girder subjected to near field underwater explosion

  • Zhen-hua Zhang (张振华)Email author
  • Yu Wang (汪 玉)
  • Li-jun Zhang (张立军)
  • Jian-hong Yuan (袁建红)
  • Hai-feng Zhao (赵海峰)
Article

Abstract

The final anomalous sag distortion of the ship girder subjected to the near field underwater explosion (undex) below the middle ship is studied. The sinking exercise of Spruance class destroyer DD973 sunk by one MK48 torpedo is first presented, and a simulation model is established. The exponential attenuation phase, the reciprocal attenuation phase, the post reciprocal attenuation phase, and the negative pressure phase of the undex load are precisely applied in this model. The fluid-solid interaction, the added water mass, the gravity, and the change of buoyancy are also taken into account. The similarity theory is then used to analyze the dynamic response of the ship girder. Similarity parameters and theory prediction formulae of the dynamic response of the ship girder are presented. The physical meaning and influences of these similarity parameters are analyzed.

Key words

underwater explosion (undex) ship girder near field anomalous response similarity analysis 

Chinese Library Classification

U663.2 

2010 Mathematics Subject Classification

74K10 74M20 

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References

  1. [1]
    Lavrent’ev, M. A. and Shabat, B. V. Problems of Hydrodynamics and Their Mathematical Models (in Russian), 2nd ed., Nauka, Moscow (1977)Google Scholar
  2. [2]
    Symonds, P. S. and Yu, T. X. Couterintuitive behaviour in a problem of elastic-plastic beam dynamics. ASME Journal of Applied Mechanics, 52(3), 517–522 (1985)CrossRefGoogle Scholar
  3. [3]
    Symonds, P. S., Borino, G., and Perego, U. Chaotic motion of an elastic-plastic beam. ASME Journal of Applied Mechanics, 55(3), 745–746 (1988)CrossRefGoogle Scholar
  4. [4]
    Lee, J. Y., Symonds, P. S., and Borino, G. Chaotic responses of a two-degree-of-freedom elasticplastic beam model to short pulse loading. ASME Journal of Applied Mechanics, 59(4), 711–721 (1992)CrossRefGoogle Scholar
  5. [5]
    Galiev, S. U. and Nechitailo, N. V. Unexpected behaviour of plates during shock and hydrodynamic loading. Strength of Materials, 18(12), 1652–1663 (1986)CrossRefGoogle Scholar
  6. [6]
    Galiev, S. U. Numerical modeling unexpected behaviour of sheets in experiments carried out by M. A. Lavrent’ev. Strength of Materials, 25(51), 381–386 (1993)CrossRefGoogle Scholar
  7. [7]
    Galiev, S. U. Influence of cavitation upon anomalous behaviour of a plate/liquid/underwater explosion system. International Journal of Impact Engineering, 19(4), 345–359 (1997)CrossRefGoogle Scholar
  8. [8]
    Li, Q. M. and Jones, N. On dimensionless numbers for dynamic plastic response of structural members. Archive of Applied Mechanics, 70, 245–254 (2000)CrossRefzbMATHGoogle Scholar
  9. [9]
    Zhao, Y. P. Suggestion of a new dimensionless number for dynamic plastic response of beams and plates. Archive of Applied Mechanics, 68, 524–538 (1998)CrossRefzbMATHGoogle Scholar
  10. [10]
    Oshiro, R. E. and Alves, M. Scaling of cylindrical shells under axial impact. International Journal of Impact Engineering, 34(1), 89–103 (2007)CrossRefGoogle Scholar
  11. [11]
    Oshiro, R. E. and Alves, M. Scaling impacted structures. Archive of Applied Mechanics, 74, 130–145 (2004)zbMATHGoogle Scholar
  12. [12]
    Alves, M. and Oshiro, R. E. Scaling impacted structures when the prototype and the model are made of different materials. International Journal of Solids and Structures, 43, 2744–2760 (2006)CrossRefzbMATHGoogle Scholar
  13. [13]
    Alves, M. and Oshiro, R. E. Scaling the impact of a mass on a structure. International Journal of Impact Engineering, 32(7), 1158–1173 (2006)CrossRefGoogle Scholar
  14. [14]
    Jin, X. D. Vibration Theory of Ship (in Chinese), Shanghai Jiao Tong University Press, Shanghai (2000)Google Scholar
  15. [15]
    Zamyshlyayev, B. V. Dynamic Loads in Underwater Explosion, AD-757183 Naval Intelligences Support Center, Washington, D. C. (1973)Google Scholar
  16. [16]
    Ramajeyathilagam, K. and Vendhan, C. P. Deformation and rupture of thin rectangular plates subjected to underwater shock. International Journal of Impact Engineering, 30(6), 699–719 (2004)CrossRefGoogle Scholar
  17. [17]
    Zhang, Z. H. The Research of Similitude Prediction Method of Damage Response of Ship Structure Subjected to Undex (in Chinese), Postdoctoral Work Report of Huazhong University of Science and Technology, Wuhan (2007)Google Scholar
  18. [18]
    Li, H. T., Zhu, X., Zhao, X. L., and Huang, X. M. Study on integral damage modes of boxlike beam subjected to underwater closely located non-contact explosion (in Chinese). Journal of Vibration and Shock, 29(3), 118–122 (2010)Google Scholar
  19. [19]
    Geers, T. L. Residual potential and approximate methods for three-dimensional fluid-structure interaction problems. Journal of the Acoustical Society of America, 49(5), 1505–1510 (1971)CrossRefGoogle Scholar
  20. [20]
    Geers, T. L. Doubly asymptotic approximations for transient motions of submerged structures. Journal of the Acoustical Society of America, 64(5), 1500–1508 (1978)CrossRefzbMATHGoogle Scholar
  21. [21]
    Jones, N. and Wierzbicki, T. Dynamic plastic failure of a free-free beam. International Journal of Impact Engineering, 6(3), 225–240 (1987)CrossRefGoogle Scholar

Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Zhen-hua Zhang (张振华)
    • 1
    Email author
  • Yu Wang (汪 玉)
    • 2
  • Li-jun Zhang (张立军)
    • 1
  • Jian-hong Yuan (袁建红)
    • 1
  • Hai-feng Zhao (赵海峰)
    • 1
  1. 1.Department of Ship and Ocean EngineeringNaval University of EngineeringWuhanP. R. China
  2. 2.Naval Academy of ArmamentBeijingP. R. China

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