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Journal of Engineering Mathematics

, Volume 44, Issue 1, pp 21–40 | Cite as

Hydroelastic behaviour of compound floating plate in waves

  • T.I. Khabakhpasheva
  • A.A. Korobkin
Article

Abstract

The paper deals with the plane problem of the hydroelastic behaviour of floating plates under the influence of periodic surface water waves. Analysis of this problem is based on hydroelasticity, in which the coupled hydrodynamics and structural dynamics problems are solved simultaneously. The plate is modeled by an Euler beam. The method of numerical solution of the floating-beam problem is based on expansions of the hydrodynamic pressure and the beam deflection with respect to different basic functions. This makes it possible to simplify the treatment of the hydrodynamic part of the problem and at the same time to satisfy accurately the beam boundary conditions. Two approaches aimed to reduce the beam vibrations are described. In the first approach, an auxiliary floating plate is added to the main structure. The size of the auxiliary plate and its elastic characteristics can be chosen in such a way that deflections of the main structure for a given frequency of incident wave are reduced. Within the second approach the floating beam is connected to the sea bottom with a spring, the rigidity of which can be selected in such a way that deflections in the main part of the floating beam are very small. The effect of the vibration reduction is quite pronounced and can be utilized at the design stage.

bending moments deflection floating plate hydroelasticity incident wave pre-cracked plate. 

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References

  1. 1.
    H. Suzuki, K. Yoshida, Design flow and strategy for safety and very large floatingstructure. In: Watanabe (ed.), Proc. Int. Workshop on Very Large Floating Structures (1996) pp. 21–27.Google Scholar
  2. 2.
    S. Nagata, H. Yoshida, T. Fujita, H. Isshiki, Reduction of the motion of and elastic floating plate inwaves by breakwaters. In: M. Kashiwagi, W. Koterayama and M. Ohkusu (eds.), Proc. 2 Int. Conf. on Hydroelasticity in Marine Technology, Fukuoka, Japan, 1-3 Dec. (1998) pp. 229–238.Google Scholar
  3. 3.
    H. Seto, M. Ochi, A hybrid element approach to hydroelastic behavior of a very large floating structure in regular wave. Proc. 2 Int. Conf. on Hydroelasticity in Marine Technology, Fukuoka, Japan, 1-3 Dec. (1998) pp. 185–194.Google Scholar
  4. 4.
    K. Yago, H. Endo, S. Ohmatsu, On the hydroelastic response of box-shaped floating structure withshallow draft (2nd report). J. Soc. Nav. Arch. Japan. 182 (1997) 307–817.Google Scholar
  5. 5.
    M. Kashiwaga,Hydrodynamic interactions among a great number of columns supporting a very large flexible structure. In: M. Kashiwagi, W. Koterayama and M. Ohkusu (eds.), Proc. 2 Int. Conf. on Hydroelasticity in Marine Technology, Fukuoka, Japan, 1-3 Decem (1998) pp. 165–176.Google Scholar
  6. 6.
    J.W. Kim, R.C. Ertekin, Aneigenfunction-expansion method for predicting hydroelastic behavior of a shallow-draft VLFS. Proc. 2 Int. Conf. on Hydroelasticity in Marine Technology, Fukuoka, Japan, 1-3 Dec. (1998) pp. 47–60.Google Scholar
  7. 7.
    A.A. Shabana, Theory of Vibration (An Introduction), (2nd ed.). Mechanical Engineering Series.Berlin: Springer (1996) 347 pp.Google Scholar
  8. 8.
    A.A. Korobkin, Numerical and asymptotic study of the two-dimensional problem on hydroelastic behavior of a floating plate in waves. J. Appl. Mech. Tech. Phys. 41 (2000) 286–293.Google Scholar
  9. 9.
    C. Wu, E. Watanabe and T. Utsunomiya, An eigenfunction expansion-matchingmethod for analyzing the wave-induced responses of an elastic floating plate. Appl. Ocean Res. 17 (1995) 301–310.Google Scholar
  10. 10.
    I.V. Sturova, The oblique incidence of surface waves onto the elastic band.In:M. Kashiwagi, W. Koterayama and M. Ohkusu (eds.), Proc. 2nd Int. Conf. on Hydroelasticity in Marina Technology, Fukuoka, Japan, 1-3 Dec. (1998) pp. 239–245.Google Scholar
  11. 11.
    P.F. Rizos, N. Aspragathos, Dimarogonas, Identification of crack location and magnitude in a cantilever beam from the vibration modes. J. Sound Vib. 138 (1990) 381–388.Google Scholar
  12. 12.
    H.F. Bueckner, Some stress singularities and theircomputation by means of integral equations. In: R.E. Langer (ed.), Proceedings of Symposium Boundary Problems in Differential Equations, 20-22 April 1959. Madison: U. Wisconsin Press (1960) pp. 215–230.Google Scholar

Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  1. 1.Lavrentyev Institute of Hydrodynamics, Siberian Division of Russian Academy of SciencesNovosibirskRussia

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