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Influence of curvature on the stress state of hollow cylinders with complex-shaped noncircular cross-section

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A developed approach based on discrete Fourier series is used to find the solution for and analyze the stress state of complex-shaped noncircular hollow cylinders depending on the cross-sectional curvature

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References

  1. Ya. M. Grigorenko and L. S. Rozhok, ”Discrete Fourier series applied to solve static boundary-value problems for noncanonical elastic bodies,” Mat. Met. Fiz.-Mekh. Polya, 48, No. 2, 78–100 (2005).

    MathSciNet  Google Scholar 

  2. Ya. M. Grigorenko and A. M. Timonin, ”An approach to the numerical solution of two-dimensional problems of plate and shell theory with variable parameters,” Int. Appl. Mech., 23, No. 6, 557–563 (1987).

    Google Scholar 

  3. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers. Definitions, Theorems, and Formulas for Reference and Review, McGraw-Hill, New York (1968).

    MATH  Google Scholar 

  4. S. P. Timoshenko, A Course in the Theory of Elasticity [in Russian], Naukova Dumka, Kyiv (1972).

    Google Scholar 

  5. G. M. Fichtenholz, A Course in Differential and Integral Calculus [in Russian], Vol. 3, Nauka, Moscow (1949).

    Google Scholar 

  6. R. W. Hamming, Numerical Methods for Scientists and Engineers, McGraw-Hill, New-York (1962).

    MATH  Google Scholar 

  7. Ya. M. Grigorenko, ”Approaches to the numerical solution of linear and nonlinear problems in shell theory in classical and refined formulations,” Int. Appl. Mech., 43, No. 1, 33–53 (2007).

    Article  Google Scholar 

  8. Ya. M. Grigorenko, ”Using discrete Fourier series to solve boundary-value stress problems for elastic bodies with complex geometry and structure,” Int. Appl. Mech., 45, No. 5, 469–513 (2009).

    Article  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

  10. Ya. M. Grigorenko and O. A. Avramenko, ”Influence of geometrical and mechanical parameters on the stress–strain state of closed nonthin conical shells,” Int. Appl. Mech., 44, No. 10, 1119–1127 (2008).

    Article  Google Scholar 

  11. 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 

  12. Ya. M. Grigorenko and L. S. Rozhok, ”Equilibrium of elastic hollow inhomogeneous cylinders of corrugated elliptic cross-section,” J. Eng. Math., 54, 145–157 (2006).

    Article  MATH  MathSciNet  Google Scholar 

  13. Ya. M. Grigorenko and S. N. Yaremchenko, ”Refined analysis of the stress state of orthotropic elliptic cylindrical shells with variable geometrical parameters,” Int. Appl. Mech., 44, No. 9, 998–1005 (2008).

    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 Nesterova St., Kyiv, Ukraine, 03057

    Ya. M. Grigorenko & L. S. Rozhok

Authors
  1. Ya. M. Grigorenko
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  2. L. S. Rozhok
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Correspondence to Ya. M. Grigorenko.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 46, No. 7, pp. 3–10, July 2010.

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Grigorenko, Y.M., Rozhok, L.S. Influence of curvature on the stress state of hollow cylinders with complex-shaped noncircular cross-section. Int Appl Mech 46, 737–743 (2010). https://doi.org/10.1007/s10778-010-0362-9

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  • DOI: https://doi.org/10.1007/s10778-010-0362-9

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