Skip to main content
SpringerLink
Log in

Method of homogeneous solutions in a mixed problem for an elastic halfstrip

  • 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. H. Bateman and A. Erdelyi, Higher Transcendental Functions, Vol. 1, McGraw-Hill, New York (1953).

    Google Scholar 

  2. G. S. Bulanov and V. A. Shaldyrvan, “On the method of homogeneous solutions in problems with mixed boundary conditions,” Prikl. Mekh.,25, No. 9, 21–30 (1989).

    Google Scholar 

  3. A. M. Gomilko, V. T. Grinchenko, and V. V. Meleshko, “On the methods of homogeneous solutions and superposition in statistical boundary problems for an elastic halfstrip,” Prikl. Mekh.,22, No. 8, 84–93 (1986).

    Google Scholar 

  4. A. M. Gomilko, V. T. Grinchenko, and V. V. Meleshko, “On the possibilities of the method of homogeneous solutions in a mixed problem of elasticity theory for a halfstrip,” Teor. Prikl. Mekh., No. 18, 3–8 (1987).

    Google Scholar 

  5. V. T. Grinchenko, Equilibrium and Stationary Oscillations of Elastic Bodies of Finite Dimensions [in Russian], Naukova Dumka, Kiev (1978).

    Google Scholar 

  6. V. F. Zhdanovich, “Formulas for the zeros of Dirichlet polynomials and of quasi-polynomials,” Dokl. Akad. Nauk SSSR,135, No. 5, 1046–1049 (1960).

    Google Scholar 

  7. L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], Fizmatgiz, Moscow-Leningrad (1962).

    Google Scholar 

  8. S. P. Pel'ts and V. M. Shikhman, “On convergence of the method of homogeneous solutions in a dynamic mixed problem for a halfstrip,” Dokl. Akad. Nauk SSSR,295, No. 4, 821–824 (1987).

    Google Scholar 

  9. E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals, Oxford Univ. Press, Oxford (1948).

    Google Scholar 

  10. Ya. S. Uflyand, Integral Transforms in Problems of the Theory of Elasticity [in Russian], Nauka, Moscow-Leningrad (1963).

    Google Scholar 

  11. L. N. G. Filon, “On the expansion of polynomials in series of functions,” Proc. London Math. Soc.,4, Ser. 2, 396–430 (1907).

    Google Scholar 

  12. R. D. Gregory and I. Gladwell, “The cantilever beam under tension, bending or flexure at infinity,” J. Elasticity,12, 317–343 (1982).

    Google Scholar 

  13. P. J. Torvic, “The elastic strip with prescribed end displacement,” J. Appl. Mech.,38, 929–936 (1971).

    Google Scholar 

Download references

Authors
  1. A. M. Gomilko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. T. Grinchenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. V. Meleshko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Institute of Hydromechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 26, No. 2, pp. 98–108, February, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gomilko, A.M., Grinchenko, V.T. & Meleshko, V.V. Method of homogeneous solutions in a mixed problem for an elastic halfstrip. Soviet Applied Mechanics 26, 193–202 (1990). https://doi.org/10.1007/BF00887116

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00887116

Keywords

Search

Navigation