Skip to main content
SpringerLink
Log in

The solution of the differential equation for the bending of a rectangular orthotropic flat plate on an elastic base by the method of straight lines

  • Published:
Soviet Applied Mechanics Aims and scope

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. F. Badalov, “The convergence and an estimate of the error in the method of straight lines used to solve the differential equation for the bending of an orthotropic plate,” in: Problems of Cybernetics and Computer Mathematics [in Russian], No. 6, Izd-vo Fan, Tashkent (1966).

    Google Scholar 

  2. F. Badalov, “The solution of the differential equation for the bending of rectangular plates on an elastic base by the method of straight lines,” Dokl. Akad. Nauk UzSSR, No. 3 (1967).

  3. S. G. Lekhnitskii, Anisotropic Plates [in Russian], Gostekhizdat, Moscow (1957).

    Google Scholar 

  4. G. N. Polozhii, The Numerical Solution of Two- and Three-Dimensional Problems in Mathematical Physics and Functions of Discrete Argument [in Russian], Izd-vo Kievsk. Un-ta, Kiev (1962).

    Google Scholar 

  5. M. G. Slobodyanskii, “A method for the approximate integration of partial differential equations and its application to problems in the theory of elasticity,” Prikl. Matem. i Mekhan.,3, No. 1 (1939).

  6. M. G. Slobodyanskii, “Three-dimensional problems in the theory of elasticity for prismatic bodies,” Uchenye Zapiski MGU, Mekhanika, No. 39 (1940).

  7. S. P. Timoshenko and S. Voinovskii-Kriger, Plates and Shells [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  8. V. N. Faddeeva, “The method of straight lines for boundary value problems,” Trudy Matem. In-ta V. A. Steklova,28 (1949).

  9. G. N. Polozhii, The Method of Summary Representation for the Numerical Solution of Problems in Mathematical Physics, Pergamon Press, New York (1965).

    Google Scholar 

Download references

Authors
  1. F. B. Badalov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. B. Babadzhanova
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Institute of Cybernetics and Computing Center, Academy of Sciences of the Uzbek SSR, Tashkent. Translated from Prikladnaya Mekhanika, Vol. 5, No. 9, pp. 69–75, September, 1969.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Badalov, F.B., Babadzhanova, S.B. The solution of the differential equation for the bending of a rectangular orthotropic flat plate on an elastic base by the method of straight lines. Soviet Applied Mechanics 5, 957–961 (1969). https://doi.org/10.1007/BF00885780

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00885780

Keywords

Search

Navigation