Skip to main content
Log in

A method for numerical solution of the dynamics equations of elastic media and structures

  • Rock Mechanics and Rock Pressures
  • Published:
Soviet Mining Aims and scope

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.

Literature Cited

  1. L. I. Slepyan, Nonstationary Elastic Waves [in Russian], Sudostroenie, Leningrad (1972).

    Google Scholar 

  2. V. D. Kubenko, Nonstationary Interaction of Structure Elements with a Medium [in Russian], Naukova Dumka, Kiev (1979).

    Google Scholar 

  3. É. G. Grigolyuk and A. G. Gorshkov, Nonstationary Hydroelasticity of Shells [in Russian], Sudostroenie, Leningrad (1974).

    Google Scholar 

  4. N. D. Veksler, A. I. Myannil, and U. K. Nigul, “Application of a mesh method in a Timoshenko-type theory to investigate transient deformation wave processes of finite-dimensional slabs,” Prikl. Mekh., No. 1 (1965).

  5. S. K. Godunov and V. S. Ryaben’kii, Difference Schemes [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  6. M. V. Stepanenko, “On a method of analyzing nonstationary deformation pulses in elastic structures,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 2 (1976).

  7. S. A. Abdukadyrov and M. V. Stepanenko, “On elastic wave dispersion in continual and difference models of deformable media and structures,” Numerical Methods of Solving Problems of Elasticity and Plasticity Theories [in Russian], Part 2, Izd. ITPM Sib. Otd. Akad. Nauk SSSR, Novosibirsk (1980).

    Google Scholar 

  8. A. S. Alekseev and B. G. Mikhailenko, “Solution of Lamb problems for a vertically inhomogenous space,” Izv. Akad. Nauk SSSR, Fiz. Zemli, No. 12 (1976).

  9. B. G. Mikhailenko, “Numerical solution of the Lamb problem for an inhomogeneous halfspace,” Mathematical Problems of Geophysics [in Russian], No. 3, Izd. IGiG Sib. Otd. Akad. Nauk SSSR, Novosibirsk (1973).

    Google Scholar 

  10. N. I. Pinchukova and M. V. Stepanenko, “Action of an acoustic pressure wave on a shell of revolution,” Izd. IGD Sib. Otd. Akad. Nauk SSSR (1981). (Dep. in VINITI May 6, 1982, No. 2287–82 Dep).

  11. S. A. Abdukadyrov, “Nostationary plane elastic wave differaction on a cylindrical cavity,” Abstracts of Reports. Conf. on Elastic and Elastic-Plastic Wave Propagation [in Russian], Part 1, Frunze (1983).

Download references

Authors

Additional information

Institute of Mining, Siberian Branch, Academy of Sciences of the USSR, Novosibirsk. Translated from Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, No. 6, pp. 34–41, November–December, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abdukadyrov, S.A., Pinchukova, N.I. & Stepanenko, M.V. A method for numerical solution of the dynamics equations of elastic media and structures. Soviet Mining Science 20, 449–455 (1984). https://doi.org/10.1007/BF02498199

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02498199

Keywords

Navigation