Skip to main content
Log in

The Effect of Non-Uniform Compression of an Elastic Plate Floating on the Fluid Surface on the Development of Unsteady Flexural-Gravity Waves

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract—

The solution to the time-dependent 3D hydroelastic problem of vibrations of a thin elastic plate floating on the surface of a heavy fluid of finite depth under the action of unsteady external pressure is obtained within the framework of the linear formulation. The effect of the longitudinal, transverse, and shear compression of the plate on the development of flexural-gravity waves is studied. As examples, the periodic and pulse impact of a load is considered.

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.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.

Similar content being viewed by others

REFERENCES

  1. Squire, V.A., Synergies between VLFS hydroelasticity and sea-ice research, J. Offshore Polar Eng., 2008, vol. 18, pp. 1–13.

    Google Scholar 

  2. Pogorelova, A.V., Kozin, V.M., and Matyushina, A.A., Stress-strain state of ice cover during aircraft takeoff and landing, J. Appl. Mech. Techn. Phys., 2015, vol. 56, no. 5, pp. 920–926. https://doi.org/10.1134/S002189441505020X

  3. Hu, M.-Y. and Zhang, Zh.-H., Displacement response analysis of a floating ice plate under a triangular pulse load, J. Appl. Mech. Techn. Phys., 2017, vol. 58, no. 4, pp. 710–716. https://doi.org/10.1134/S0021894417040162

    Article  ADS  MathSciNet  MATH  Google Scholar 

  4. Schulkes, R.M.S.M., Hosking, R.J., and Sneyd, A.D., Waves due to a steadily moving source on a floating ice plate. Pt. 2, J. Fluid Mech., 1987, vol. 180, pp. 297–318.

    Article  ADS  Google Scholar 

  5. Timoshenko, S. and Woinowsky-Krieger, S., Theory of Plates and Shells, 2d ed., New York: Mc Graw-Hill, 1959.

  6. Bukatov, A.E. and Goncharov, A.M., Flexural-gravity waves under non-uniform compression, Morskoi Gidrofizicheskii Zh., 1989, no. 4, pp. 35–39.

  7. Bukatov, A.E., Zharkov, V.V., and Zav’yalov, D.D., Three-dimensional bent-gravity waves with non-uniform compression, J Appl. Mech. Techn. Phys., 1991, vol. 32, no. 6, pp. 867–872. https://doi.org/10.1007/BF00850629

    Article  ADS  Google Scholar 

  8. Bukatov, A.E., Volny v more s plavayushchim ledyanym pokrovom (Waves in Sea with Floating Ice Cover), Sevastopol: FGBUN MGI, 2017.

  9. Kheisin, D.Y., Dynamics of Floating Ice Covers, Leningrad: Gidrometeorologicheskoe Izdatel’stvo, 1967; Technical Translation FSTC-HT-23-485-69, US Army Foreign Science and Technology Center, 1967.

  10. Sturova, I.V., Unsteady three-dimensional sources in deep water with an elastic cover and their applications, J. Fluid Mech., 2013, vol. 730, pp. 392–418. https://doi.org/10.1017/jfm.2013.303

    Article  ADS  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to I. V. Sturova.

Additional information

Translated by E.A. Pushkar

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sturova, I.V. The Effect of Non-Uniform Compression of an Elastic Plate Floating on the Fluid Surface on the Development of Unsteady Flexural-Gravity Waves. Fluid Dyn 56, 211–218 (2021). https://doi.org/10.1134/S0015462821020117

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0015462821020117

Keywords:

Navigation