Soviet Applied Mechanics

, Volume 4, Issue 7, pp 20–24 | Cite as

Investigation of the stability of cylindrical shells using three-dimensional linearized equations

  • I. Yu. Babich
Article
  • 13 Downloads

Keywords

Linearize Equation Cylindrical Shell 

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References

  1. 1.
    J. N. Watson, Theory of Bessel Functions [Russian translation], IL, Moscow, part 1, 1949.Google Scholar
  2. 2.
    A. N. Guz, “Stability of orthotropic bodies,” Prikladnaya mekhanika [Soviet Applied Mechanics], vol. 3, no. 5, 1967.Google Scholar
  3. 3.
    K. F. Voitsekhovskaya, “Stability of cylindrical shells from the viewpoint of the mathematical theory of elasticity,” DAN SSSR, vol. 123, no. 4, 1958.Google Scholar
  4. 4.
    A. S. Vol'mir, Stability of Elastic Systems [in Russian], Izd-vo Nauka, Moscow, 1967.Google Scholar
  5. 5.
    A. Yu. Ishlinskii, “Consideration of problems of the equilibrium stability of elastic bodies from the viewpoint of the mathematical theory of elasticity,” Ukr. matem. zhurnal, vol. 6, no. 2, 1954.Google Scholar
  6. 6.
    L. S. Leibenzon, “Applying harmonic functions to the problem concerned with the stability of spherical and cylindrical shells,” Collected Works, Vol. 1 [in Russian], Izd-vo AN SSSR, Moscow, 1951.Google Scholar
  7. 7.
    V. V. Novozhilov, Foundations of the Nonlinear Theory of Elasticity [in Russian], Gostekhizdat, Moscow, 1955.Google Scholar
  8. 8.
    S. P. Timoshenko and J. Gere, Theory of Elastic Stability [Russian translation], Gostekhizdat, Moscow, 1948.Google Scholar
  9. 9.
    C. B. Biezeno and H. Hencky, “On the general theory of elastic stability,” Proc. Roy. Neth. Acad. Sci., Amsterdam, no. 31, 1928; no. 32, 1929.Google Scholar
  10. 10.
    M. A. Biot, “Nonlinear theory of elasticity and the linearized case for a body under initial stress,” Phil. Mag., no. 27, 1939.Google Scholar

Copyright information

© Consultants Bureau 1968

Authors and Affiliations

  • I. Yu. Babich
    • 1
  1. 1.Institute of MechanicsAS UkrSSRKiev

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