Skip to main content
Log in

Diffraction and Vibration Attenuation by Obstacles in Elastic Media

  • Published:
Moscow University Mechanics Bulletin Aims and scope

Abstract

It is shown on the example of elastic \(SH\) wave diffraction by an obstacle like a half-plane that barriers can be used to attenuate vibrations and waves in elastic media. It is found that not only a solid barrier, but also a cut or a natural fracture in soil can protect foundations and buildings against shear bulk waves.

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. W. A. Haupt, ‘‘Wave propagation in the ground and isolation measures,’’ in Proc. Third Int. Conf. on Recent Advances in Geotechnical Earthquake Engineering and Soil Mechanics, St. Luois, USA, 1995, pp. 985–1016.

  2. F. E. Richart, R. D. Woods, and J. R. Hall, Vibrations of Soils and Foundations (Prentice-Hall, Englewood Cliffs, NJ, 1970).

    Google Scholar 

  3. T. T. Abramova, ‘‘Protection of soil bodies against dynamic and seismic excitation,’’ Simvol Nauki, No. 4, 41–49 (2016).

    Google Scholar 

  4. G. F. Miller, H. Pursey, and E. C. Bullard, ‘‘On the partition of energy between elastic waves in a semi-infinite solid,’’ Proc. R. Soc. London, Ser. A 233 (1192), 55–69 (1955). doi 10.1098/rspa.1955.0245

    Article  ADS  MATH  Google Scholar 

  5. M. Sh. Israilov, Dynamic Theory of Elasticity and Wave Diffraction (Moscow State Univ., Moscow, 1992).

    MATH  Google Scholar 

  6. A. S. Peters and J. J. Stoker, ‘‘A uniqueness theorem and a new solution for Sommerfeld’s and other diffraction problems,’’ Commun. Pure Appl. Math. 7, 565–585 (1954). doi 10.1002/cpa.3160070307

    Article  MathSciNet  MATH  Google Scholar 

  7. A. Sommerfeld, ‘‘Mathematische Theorie der Diffraction,’’ Math. Ann. 47, 317–374 (1896). doi 10.1007/BF01447273

    Article  MathSciNet  MATH  Google Scholar 

  8. M. Born and E. Wolf, Principles of Optics (Press Syndicated, Cambridge, 1970).

    MATH  Google Scholar 

  9. R. Wong, Asymptotic Approximations of Integrals (Academic Press, New York, 1989).

    MATH  Google Scholar 

  10. A. D. Zhigalin and G. P. Lokshin, ‘‘Formation of vibration field in geological medium,’’ Inzh. Geol., No. 6, 110–119 (1991).

  11. Dynamic Calculation of Structures under Special Actions: Designer’s Reference Book, Ed. by B. G. Korneev and I. M. Rabinovich (Stroiizdat, Moscow, 1981).

    Google Scholar 

  12. G. A. Bollinger, Blast Vibration Analysis (Southern Illinois Univ. Press, Carbondale, 1971).

    Google Scholar 

Download references

Funding

The work is supported by the Russian Foundation for Basic Research, project no. 17-08-00066.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Sh. Israilov.

Additional information

Translated by E. Oborin

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Israilov, M.S. Diffraction and Vibration Attenuation by Obstacles in Elastic Media. Moscow Univ. Mech. Bull. 76, 1–6 (2021). https://doi.org/10.3103/S0027133021010039

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0027133021010039

Keywords:

Navigation