Skip to main content
SpringerLink
Log in

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

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  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. 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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  MATH  Google Scholar 

  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)

    Article  MATH  Google Scholar 

  10. Oshiro, R. E. and Alves, M. Scaling of cylindrical shells under axial impact. International Journal of Impact Engineering, 34(1), 89–103 (2007)

    Article  Google Scholar 

  11. Oshiro, R. E. and Alves, M. Scaling impacted structures. Archive of Applied Mechanics, 74, 130–145 (2004)

    MATH  Google Scholar 

  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)

    Article  MATH  Google Scholar 

  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)

    Article  Google Scholar 

  14. Jin, X. D. Vibration Theory of Ship (in Chinese), Shanghai Jiao Tong University Press, Shanghai (2000)

    Google Scholar 

  15. Zamyshlyayev, B. V. Dynamic Loads in Underwater Explosion, AD-757183 Naval Intelligences Support Center, Washington, D. C. (1973)

    Google Scholar 

  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)

    Article  Google Scholar 

  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. 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. 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)

    Article  Google Scholar 

  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)

    Article  MATH  Google Scholar 

  21. Jones, N. and Wierzbicki, T. Dynamic plastic failure of a free-free beam. International Journal of Impact Engineering, 6(3), 225–240 (1987)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Ship and Ocean Engineering, Naval University of Engineering, Wuhan, 430033, P. R. China

    Zhen-hua Zhang  (张振华), Li-jun Zhang  (张立军), Jian-hong Yuan  (袁建红) & Hai-feng Zhao  (赵海峰)

  2. Naval Academy of Armament, Beijing, 100161, P. R. China

    Yu Wang  (汪 玉)

Authors
  1. Zhen-hua Zhang  (张振华)
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu Wang  (汪 玉)
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Li-jun Zhang  (张立军)
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Jian-hong Yuan  (袁建红)
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Hai-feng Zhao  (赵海峰)
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zhen-hua Zhang  (张振华).

Additional information

Communicated by Ya-pu ZHAO

Project supported by the National Security Major Basic Research 973 Project of China (No. 51335020101)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhang, Zh., Wang, Y., Zhang, Lj. et al. Similarity research of anomalous dynamic response of ship girder subjected to near field underwater explosion. Appl. Math. Mech.-Engl. Ed. 32, 1491–1504 (2011). https://doi.org/10.1007/s10483-011-1518-9

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10483-011-1518-9

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

Search

Navigation