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Influence of geometrical parameters on the stress state of longitudinally corrugated elliptic cylindrical shells

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International Applied Mechanics Aims and scope

An approach developed to solve static problems for longitudinally corrugated elliptic cylindrical shells is used to analyze the influence of their geometric parameters and thickness on the stress–strain state. The circumferential distribution of stresses and displacements is analyzed for different values of the aspect ratio and number of corrugations

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References

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

    Google Scholar 

  2. Ya. M. Grigorenko, G. G. Vlaikov, A. Ya. Grigorenko, Numerical Analytic Solution of Problems in the Mechanics of Shells Using Various Models [in Russian], Akademperiodika, Kyiv (2006).

    Google Scholar 

  3. Ya. M. Grigorenko and N. N. Kryukov, “Solution of problems of the theory of plates and shells with spline functions (survey),” Int. Appl. Mech., 31, No. 6, 413–434 (1995).

    Article  MATH  MathSciNet  Google Scholar 

  4. L. H. Donnell, Beams, Plates, and Shells, McGraw Hill, New York (1976).

    MATH  Google Scholar 

  5. Yu. S. Zav’yalov, Yu. I. Kvasov, and V. L. Miroshnichenko, Methods of Spline Functions [in Russian], Nauka, Moscow (1980).

    MATH  Google Scholar 

  6. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers, McGraw-Hill, New York (1961).

    MATH  Google Scholar 

  7. Kh. M. Mushtari, “Some generalizations of the theory of thin shells with application to problems of the stability of elastic equilibrium,” Prikl. Mat. Mekh., 2, No. 14, 439–456 (1939).

    Google Scholar 

  8. Ya. M. Grigorenko, “Nonconventional approaches to statics problems for noncircular cylindrical shells in different formulations,” Int. Appl. Mech., 43, No. 1, 35–53 (2007).

    Article  MathSciNet  Google Scholar 

  9. Ya. M. Grigorenko, O. A. Avramenko, and S. N. Yaremchenko, “Spline-approximation solution of two-dimensional problems of statics for orthotropic conical shells in a refined formulation,” Int. Appl. Mech., 43, No. 11, 1218–1227 (2007).

    Article  Google Scholar 

  10. Ya. M. Grigorenko and O. A. Avramenko, “Stress–strain analysis of closed nonthin orthotropic conical shells of varying thickness,” Int. Appl. Mech., 44, No. 6, 635–643 (2008).

    Article  Google Scholar 

  11. Ya. M. Grigorenko, A. Ya. Grigorenko, and L. I. Zakhariichenko, “Stress–strain solutions for circumferentially corrugated elliptic cylindrical ahells,” Int. Appl. Mech., 42, No. 9, 1021–1028 (2006).

    Article  Google Scholar 

  12. Ya. M. Grigorenko and S. N. Yaremchenko, “Influence of orthotropy on displacements and stresses in nonthin cylindrical shells with elliptic cross section,” Int. Appl. Mech., 43, No. 6, 654–661 (2007).

    Article  Google Scholar 

  13. V. G. Piskunov and A. O. Rasskazov, “Evolution of the theory of laminated plates and shells,” Int. Appl. Mech., 38, No. 2, 135–166 (2002).

    Article  Google Scholar 

  14. K. P. Soldatos, “Mechanics of cylindrical shells with non-circular cross-section. A survey,” Appl. Mech. Rev., 52, No. 8, 237–274 (1999).

    Article  Google Scholar 

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterov St., Kyiv, Ukraine, 03057

    Ya. M. Grigorenko, A. Ya. Grigorenko & L. I. Zakhairichenko

Authors
  1. Ya. M. Grigorenko
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  2. A. Ya. Grigorenko
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  3. L. I. Zakhairichenko
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Correspondence to A. Ya. Grigorenko.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 45, No. 2, pp. 91–98, February 2009.

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Grigorenko, Y.M., Grigorenko, A.Y. & Zakhairichenko, L.I. Influence of geometrical parameters on the stress state of longitudinally corrugated elliptic cylindrical shells. Int Appl Mech 45, 187–192 (2009). https://doi.org/10.1007/s10778-009-0176-9

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  • DOI: https://doi.org/10.1007/s10778-009-0176-9

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