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Solution of the deformation problem for flexible noncircular cylindrical shells subject to bending moments at the edges

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Abstract

An exact analytical solution is found to a nonlinear boundary-value deformation problem for a long noncircular cylindrical shell of variable curvature. The shell is subject to bending moments at the edges. The dependence of the stress-strain state of the shell on the curvature is analyzed

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References

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

    Google Scholar 

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

  3. Ya. M. Grigorenko and V. I. Gulyaev, “Nonlinear problems of shell theory and their solution methods (review),” Int. Appl. Mech., 27, No. 10, 924–947 (1991).

    MathSciNet  Google Scholar 

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

    Google Scholar 

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

  6. M. S. Kornishin and Kh. M. Mushtari, “Stability of an infinitely long shallow cylindrical panel under normal uniform pressure,” Izv. Kazansk. Fil. AN SSSR, Ser. Fiz.-Mat. Tekhn. Nauk., No. 7, 36–50 (1955).

  7. M. S. Kornishin and F. S. Isanbaeva, Flexible Plates and Panels [in Russian], Nauka, Moscow (1968).

    Google Scholar 

  8. Ya. M. Grigorenko and L. V. Kharitonova, “A note on the determination of critical loads for flexible noncircular cylindrical shells with clamped edges,” Int. Appl. Mech., 41, No. 11, 1272–1279 (2005).

    Article  Google Scholar 

  9. Ya. M. Grigorenko and L. V. Kharitonova, “Stress analysis of flexible noncircular cylindrical shells with hinged edges for different critical loads,” Int. Appl. Mech., 42, No. 2, 162–168 (2006).

    Article  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. E. A. Storozhuk and I. S. Chernyshenko, “Elastoplastic deformation of flexible cylindrical shells with two circular holes under axial tension,” Int. Appl. Mech., 41, No. 5, 506–511 (2005).

    Article  Google Scholar 

  12. E. A. Storozhuk and I. S. Chernyshenko, “Physically and geometrically nonlinear deformation of spherical shells with an elliptic hole,” Int. Appl. Mech., 41, No. 6, 666–674 (2005).

    Article  Google Scholar 

  13. E. A. Storozhuk and I. S. Chernyshenko, “Stress distribution in physically and geometrically nonlinear thin cylindrical shells with two holes,” Int. Appl. Mech., 41, No. 11, 1280–1287 (2005).

    Article  Google Scholar 

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Authors and Affiliations

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

    Ya. M. Grigorenko

  2. T. Shevchenko Kyiv National University, Kyiv, 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. 11, pp. 93–100, November 2006.

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Grigorenko, Y.M., Kharitonova, L.V. Solution of the deformation problem for flexible noncircular cylindrical shells subject to bending moments at the edges. Int Appl Mech 42, 1278–1284 (2006). https://doi.org/10.1007/s10778-006-0198-5

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  • DOI: https://doi.org/10.1007/s10778-006-0198-5

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