Skip to main content
Log in

Vibrations of a Floating Elastic Plate Due to Periodic Displacements of a Bottom Segment

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

The problem of the behavior of a floating elastic thin plate under periodic vibrations of a bottom segment is solved using a numerical procedure based on the Wiener-Hopf technique. The effects of the vibration frequency, the position of the vibrating bottom segment, and the fluid depth on the vibration frequencies of the fluid and plate are studied numerically.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. H. Takamura, K. Masuda, H. Maeda, and M. Bessho, “A study on the estimation of the seaquake response of a floating structure considering the characteristics of seismic wave propagation in the ground and the water,” J. Marine Sci. Technol., 7, 164–174 (2003).

    Article  Google Scholar 

  2. L. A. Tkacheva, “Behavior of a floating elastic plate during vibrations of a bottom segment,” J. Appl. Mech, Tech. Phys., 46, No.2, 230–238 (2005).

    Google Scholar 

  3. M. Kashivagi, “Research on hydroelastic responses of VLFS: Recent progress and future work,” J. Offshore Polar Eng., 10, No.2, 17–26 (2000).

    Google Scholar 

  4. B. Nobble, Wiener-Hopf Technique for Solution of Partial Differential Equations, Pergamon Press, New York (1958).

    Google Scholar 

  5. C. Fox and V. A. Squire, “Reflection and transmission characteristics at the edge of short fast sea ice,” J. Geophys. Res., 95, No.C7, 11.629–11.639 (1990).

    Google Scholar 

  6. I. M. Gel’fand and G. E. Shilov, Generalized Functions and Operations on Them [in Russian], Fizmatgiz, Moscow (1959).

    Google Scholar 

  7. A. A. Korobkin, “Numerical and asymptotic study of the two-dimensional problem of the hydroelastic behavior of a floating plate in waves,” J. Appl. Mech. Tech. Phys., 41, No.2, 286–292 (2000).

    Google Scholar 

  8. M. Meylan, “Computation of resonances for a floating one-dimensional thin plate on shallow water,” in: Proc. III Int. Conf. on Hydroelasticity in Marine Technology (Oxford, September 15–17, 2003), Univ. of Oxford, Oxford (2003), pp. 251–257.

    Google Scholar 

  9. L. A. Tkacheva, “Forced vibrations of floating elastic plate”, Proc. of the 19th Int. Workshop on Water Waves and Floating Bodies (Cortona, Italy, March 28–31, 2004), INSEAN, Rome (2004).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 5, pp. 166–179, September–October, 2005.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tkacheva, L.A. Vibrations of a Floating Elastic Plate Due to Periodic Displacements of a Bottom Segment. J Appl Mech Tech Phys 46, 754–765 (2005). https://doi.org/10.1007/s10808-005-0132-3

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10808-005-0132-3

Key words

Navigation