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A Time Domain Investigation on the Hydrodynamic Resonance Phenomena of 3-D Multiple Floating Structures

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Abstract

A 3-D time domain method is developed to investigate the gap influence on the wave forces for 3-D multiple floating structures. Special hydrodynamic resonance due to small gaps between multiple floating structures on wave forces is examined. Strong and complicate hydrodynamic interactions between the floating bodies are observed and the numerical computations have proved the existence of the sharp peak force response on each floating body at some special resonant wave numbers. By comparison with the results from the frequency domain technique, the results obtained from the time domain method reveal the similar resonant phenomena and hydrodynamic interaction. The resonant wave numbers are also proved around kL=nπ(n = 1, 2,...,∞) with a corresponding frequency shift. The strong hydrodynamic interaction feature is practically significant for the design of module structures and the links (connection) in whole the floating body system.

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References

  1. OHKUSU M. Ship motions in vicinity of a structure[C]. Proc. of International Conference on the Behavior of Offshore Structures. Trondheim, Norway, 1976, 1: 284–306.

    Google Scholar 

  2. OORTMERSSEN G. V. Hydrodynamic interaction between two structures floating in waves[C]. Proc. Boss Conference. London, 1979, 339–356.

    Google Scholar 

  3. XIE Nan, GAO Huan-qiu. Numerical calculation of hydrodynamic interaction of two bodies floating in waves[J]. Journal of Ship Mechanics, 1999, 3(2):7–15 (in Chinese).

    MathSciNet  Google Scholar 

  4. MIAO G. P., ISHIDA H. and SAITOH T. Water wave interaction of twin large scale caissons with small gaps between[J]. Coastal Engineering Journal, 2001, 43(1): 39–58.

    Article  Google Scholar 

  5. MIAO Guo-ping, ISHIDA H. and SAITOH T. Influence of gaps between multiple floating bodies on wave forces[J]. China Ocean Engineering, 2000, 14(4): 407–422.

    Google Scholar 

  6. SAITOH T., MIAO G. P. and ISHIDA H. Resonance in a narrow gap due to nearby rectangular cylinders under water waves[C]. Proc. of Asian and Pacific Coastal Engineering. Dalian, China, 2001, 2: 613–623.

    Google Scholar 

  7. ZHU Ren-chuan, MIAO Guo-ping and YOU Yun-xiang. Influence of gaps between 3-D multiple floating structures on wave forces[J]. Journal of Hydrodynamics Ser. B, 2005, 17(2): 141–147.

    MATH  Google Scholar 

  8. DAI Yi-shan. Potential flow theory of ship motions in waves in frequency and time domain[M]. Beijing: National Deference Industry Press, 1998, 18–25(in Chinese).

    Google Scholar 

  9. HUANG De-bo. Approximation of time-domain free surface function and its spatial derivatives[J]. Ship Building of China, 1992, (1): 16–25(in Chinese).

    Google Scholar 

  10. CLEMENT A. H. An ordinary differential equation for the Green function of time-domain free-surface hydrodynamics[J]. Journal of Engineering Mathematics, 1998, 33: 201–217.

    Article  MathSciNet  Google Scholar 

  11. SHEN Liang, ZHU Ren-chuan and MIAO Guo-ping et al. A practical numerical method for deep water time-domian Green function[J]. Journal of Hydrodynamics, Ser. A, 2007, 22(3): 380–386(in Chinese).

    Google Scholar 

  12. DUAN Wen-yang, DAI Yi-shan. New derivation of ordinary differential equations for transient free-surface green functions[J]. China Ocean Engineering, 2001, 15(4): 499–507.

    Google Scholar 

  13. MIAO Guo-ping, ISHIDA H. and SAITOH T. A note on the narrow open channel resonance[J]. Journal of Hydrodynamics, Ser. B, 2002, 14(1): 29–37.

    Google Scholar 

  14. MEI C. C. The applied dynamics of ocean surface waves[M]. New York, USA: Wiley-Interscience Publication, 1983, 199–206.

    Google Scholar 

  15. ZHU Ren-chuan, MIAO Guo-ping and ZHU Hai-rong. The radiation problem of multiple structures with small gaps in between[J]. Journal of Hydrodynamics, Ser. B, 2006, 18(5): 520–526.

    Article  Google Scholar 

Download references

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Correspondence to Hai-rong Zhu.

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Project supported by the National Natural Science Foundation of China (Grant No. 50639020), the National High Technology Research and Development Program of China (863 Program, Grant No. 2006AA09Z332).

Biography: ZHU Hai-rong (1980-), Male, Ph. D. Candidate

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Zhu, Hr., Zhu, Rc. & Miao, Gp. A Time Domain Investigation on the Hydrodynamic Resonance Phenomena of 3-D Multiple Floating Structures. J Hydrodyn 20, 611–616 (2008). https://doi.org/10.1016/S1001-6058(08)60102-X

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  • DOI: https://doi.org/10.1016/S1001-6058(08)60102-X

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