Skip to main content
Log in

Oblique incidence of surface waves on an elastic plate

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

Abstract

Oblique incidence of small-amplitude waves on an elastic plate floating on a free liquid surface is studied. The reflection and transmission factors of the waves and the vertical displacements and strains of the plate are determined. It is shown that all these characteristics depend greatly on the incidence angle and frequency of the wave and the width of the plate. Approximate solutions for the reflection and transmission factors are obtained.

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. V. A. Squire, J. P. Dugan, P. Wadhams, et al., “On ocean waves and sea ice,”Annu. Rev. Liquid Mech.,27, 115–168 (1995).

    Article  MathSciNet  ADS  Google Scholar 

  2. A. E. Bukatov and D. D. Zav’yalov, “Incidence of surface waves on the edge of compressed ice,”Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 3, 121–126 (1995).

    MATH  Google Scholar 

  3. C. Wu, E. Watanabe, and T. Utsunomiya, “An eigenfunction expansion-matching method for analyzing the wave-induced responses of an elastic floating plate,”Appl. Ocean Res.,17, No. 5, 301–310 (1995).

    Article  Google Scholar 

  4. C. Fox and V. A. Squire, “The oblique reflection and transmission of ocean waves at shore fast sea ice,”Philos. Trans. Roy. Soc. London, Ser. A,347, No. 1682, 185–218 (1994).

    MATH  ADS  Google Scholar 

  5. M. Meylan and V. A. Squire, “The response of ice floes to ocean waves,”J. Geophys. Res.,99, No. C1, 891–900 (1994).

    Article  ADS  Google Scholar 

  6. I. V. Sturova, “Propagation of plane surface waves over an underwater obstacle and a submerged plate,”Prikl. Mekh. Tekh. Fiz., No. 3, 55–62 (1991).

    Google Scholar 

  7. C. Fox and V. A. Squire, “Reflection and transmission characteristics at the edge of shore fast sea ice,”J. Geophys. Res.,95, No. C7, 11629–1163 (1990).

    ADS  Google Scholar 

  8. J. T. Kirby and R. A. Dalrymple, “Propagation of obliquely incident water waves over a trench,”J. Liquid Mech.,133, 47–63 (1983).

    MATH  ADS  Google Scholar 

  9. M. Meylan and V. A. Squire, “Finite-floe wave reflection and transmission coefficients from a semi-infinite model,”J. Geophys. Res.,98, No. C7, 12537–12542 (1993).

    ADS  Google Scholar 

  10. C. Fox and V. A. Squire, “Strain in shore fast ice due to incoming ocean waves and swell,”J. Geophys. Res.,96, No. C3, 4531–4547 (1991).

    ADS  Google Scholar 

Download references

Authors

Additional information

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 4, pp. 62–68, July–August, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sturova, I.V. Oblique incidence of surface waves on an elastic plate. J Appl Mech Tech Phys 40, 604–610 (1999). https://doi.org/10.1007/BF02468434

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02468434

Keywords

Navigation