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Stress analysis of flexible noncircular cylindrical shells with hinged edges for different critical loads

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Abstract

An analytic nonlinear boundary-value solution is found and used in analysis of the precritical and postcritical stress states of a flexible long cylindrical shell with variable curvature and hinged longitudinal edges under nonuniform loading

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References

  1. N. A. Alfutov, Fundamentals of Stability Analysis of Elastic Systems [in Russian], Mashinostroenie, Moscow (1991).

    Google Scholar 

  2. V. Z. Vlasov, General Theory of Shells and Its Applications in Engineering [in Russian], Gostekhizdat, Moscow-Leningrad (1949).

    Google Scholar 

  3. É. I. Grigolyuk and V. V. Kabanov, Stability of Shells [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  4. Ya. M. Grigorenko, “A note on solving a deformation problem for a flexible long cylindrical shell with variable parameters,” Dop. AN URSR, Ser. A, No. 5, 417–421 (1977).

  5. Ya. M. Grigorenko and V. I. Gulyaev, “Nonlinear problems of shell theory and their solution methods (review),” Int. Appl. Mech., 27, No. 10, 929–947 (1991).

    MathSciNet  Google Scholar 

  6. Ya. M. Grigorenko and N. N. Kryukov, Numerical Solution of Static Problems for Flexible Laminated Shells with Variable Parameters [in Russian], Naukova Dumka, Kiev (1988).

    Google Scholar 

  7. Ya. M. Grigorenko and L. V. Kharitonova, “Influence of boundary conditions on the stability and postbuckling behavior of flexible noncircular long cylindrical panels,” Dokl. NAN Ukrainy, No. 7, 35–37 (1995).

  8. Ya. F. Kayuk, Geometrically Nonlinear Problems in the Theory of Plates and Shells [in Russian], Naukova Dumka, Kiev (1987).

    Google Scholar 

  9. M. S. Kornishin and Kh. M. Mushtari, “Stability of an infinite shallow cylindrical panel under normal uniform pressure,” Izv. Kazan. Filiala AN SSSR, Ser. Fiz.-Mat. Tekhn. Nauk, 7, 36–50 (1955).

    Google Scholar 

  10. Ya. M. Grigorenko, Ya. G. Savula, and I. S. Mukha, “Linear and nonlinear problems on the elastic deformation of complex shells and methods of their numerical solution,” Int. Appl. Mech., 36, No. 8, 979–1000 (2000).

    Article  Google Scholar 

  11. Ya. M. Grigorenko and S. N. Yaremchenko, “Stress analysis of orthotropic noncircular cylindrical shells of variable thickness in a refined formulation,” Int. Appl. Mech., 40, No. 3, 266–274 (2004).

    Article  Google Scholar 

  12. A. N. Guz, E. A. Storozhuk, and I. S. Chernyshenko, “Inelastic deformation of flexible spherical shells with two circular openings,” Int. Appl. Mech., 40, No. 6, 672–678 (2004).

    Article  Google Scholar 

  13. A. N. Guz, E. A. Storozhuk, and I. S. Chernyshenko, “Elastoplastic state of flexible cylindrical shells with two circular holes,” Int. Appl. Mech., 40, No. 10, 1152–1156 (2004).

    Google Scholar 

  14. P. S. Koval’chuk, “Nonlinear vibrations of a cylindrical shell containing a flowing fluid,” Int. Appl. Mech., 41, No. 4, 405–412 (2005).

    Article  Google Scholar 

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev

    Ya. M. Grigorenko

  2. T. Shevchenko Kiev National University, Kiev, Ukraine

    L. V. Kharitonova

Authors
  1. Ya. M. Grigorenko
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  2. L. V. Kharitonova
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 2, pp. 43–50, February 2006.

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Grigorenko, Y.M., Kharitonova, L.V. Stress analysis of flexible noncircular cylindrical shells with hinged edges for different critical loads. Int Appl Mech 42, 162–168 (2006). https://doi.org/10.1007/s10778-006-0071-6

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  • DOI: https://doi.org/10.1007/s10778-006-0071-6

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