Skip to main content
Log in

Numerical solution of boundary-value problems on the deformation of flexible annular plates of variable rigidity

  • 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

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

Instant access to the full article PDF.

Literature Cited

  1. J. Alberg, E. Nilson, and J. Walsh, Theory of Coefficients and Its Applications [Russian translation], Mir, Moscow (1972).

    Google Scholar 

  2. R. E. Bellman and R. E. Kalaba, Quasilinearization and Nonlinear Boundary-Value Problems, Elsevier, New York (1966).

    Google Scholar 

  3. I. G. Bubnov, Works on Plate Theory [in Russian], Gostekhizdat, Moscow (1953).

    Google Scholar 

  4. E. F. Burmistrov, “Calculation of hollow orthotropic shells, taking into account finite deformations,” Inzh. Sb.,22, 83–97 (1955).

    Google Scholar 

  5. N. V. Valishvili and V. B. Silkin, “Calculation of annular plates with large displacements,” in: Strength Calculations. Collected Papers [in Russian], No. 16 (1975), pp. 50–65.

  6. A. S. Vol'mir, Flexible Plates and Shells [in Russian], Gostekhizdat, Moscow (1956).

    Google Scholar 

  7. I. I. Vorovich and V. R. Zipalova, “Solution of nonlinear boundary-value problems of elasticity theory by transforming to a Cauchy problem” Prikl. Mat. Mekh.,29, No. 5, 894–901 (1965).

    Google Scholar 

  8. S. K. Godunov, “Numerical solution of boundary-value problems for systems of linear ordinary differential equations,” Usp. Mat. Nauk,16, No. 3, 171–174 (1961).

    Google Scholar 

  9. É. I. Grigolyuk, “Behavior of circular plate after stability loss,” Vestn. Inzh. Tekh., No. 3, 103–106 (1949).

    Google Scholar 

  10. B. Ya. Kantor, Nonlinear Problems of the Theory of Inhomogeneous Hollow Shells [in Russian], Naukova Dumka, Kiev (1971).

    Google Scholar 

  11. M. A. Koltunov, “Taking into account the finiteness of displacements in problems on the flexure and stability of plates and hollow shells,” Vestn. Mosk. Univ., No. 5, 13–29 (1952).

    Google Scholar 

  12. M. S. Kornishin, Nonlinear Problems of the Theory of Plates and Hollow Shells and Methods of Solution [in Russian], Nauka, Moscow (1964).

    Google Scholar 

  13. V. V. Novozhilov, Principles of Nonlinear Elasticity Theory [in Russian], Gostekhizdat, Moscow (1948).

    Google Scholar 

  14. P. F. Pankovich, Marine Structural Mechanics [in Russian], Sudpromgiz, Leningrad (1941).

    Google Scholar 

  15. A. V. Karmishin, V. I. Myachenkov, V. A. Leskovets, and A. N. Frolov, Statics and Dynamics of Thin-Walled Shell Structures [in Russian], Mashinostroenie, Moscow (1975).

    Google Scholar 

  16. A. S. Vol'mir (editor), Theory of Flexible Circular Plates [in Russian], IL, Moscow (1957).

    Google Scholar 

  17. S. P. Timoshenko and S. Woinowsky-Krieger, Plates and Shells [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  18. V. I. Feodos'ev, “Geometrically nonlinear problems of plate and shell theory,” in: Proceedings of the Fourth All-Union Conference on Plate Theory [in Russian], Nauka, Moscow (1966), pp. 971–976.

    Google Scholar 

Download references

Authors

Additional information

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 14, No. 4, pp. 63–70, April, 1978.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Grigorenko, Y.M., Ovlyakuliev, O. Numerical solution of boundary-value problems on the deformation of flexible annular plates of variable rigidity. Soviet Applied Mechanics 14, 385–391 (1978). https://doi.org/10.1007/BF00883915

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00883915

Keywords

Navigation