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Stress state of layered hollow cylinders with irregularly shaped cross-section

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The stress state of longitudinally corrugated layered hollow orthotropic elliptic cylinders is determined using discrete Fourier series for different geometrical parameters. The results obtained are presented in the form of plots and tables and analyzed

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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, 0.79–100 (2005).

    MathSciNet  Google Scholar 

  2. Ya. M. Grigorenko and L. S. Rozhok, “On one approach to the solution of stress problems for noncircular hollow cylinders,” Int. Appl. Mech., 38, No. 5, 562–572 (2002).

    Article  Google Scholar 

  3. Ya. M. Grigorenko and L. S. Rozhok, “Solving the stress problem for hollow cylinders with corrugated elliptical cross section,” Int. Appl. Mech., 40, No. 2, 169–175 (2004).

    Article  ADS  Google Scholar 

  4. Ya. M. Grigorenko and L. S. Rozhok, “Influence of corrugation frequency and amplitude on the stress state of hollow elliptic cylinders,” Int. Appl. Mech., 40, No. 9, 1012–1017 (2004).

    Article  ADS  Google Scholar 

  5. Ya. M. Grigorenko and L. S. Rozhok, “Stress analysis of circumferentially corrugated hollow orthotropic cylinders,” Int. Appl. Mech., 42, No. 12, 1389–1397 (2006).

    Article  ADS  Google Scholar 

  6. A. N. Guz and Yu. N. Nemish, Statics of Noncanonical Elastic Bodies, Vol. 2 of the six-volume series Spatial Problems of Elasticity and Plasticity [in Russian], Naukova Dumka, Kyiv (1984).

    Google Scholar 

  7. M. A. Koltunov, Yu. N. Vasil’ev, and D. A. Pas’ko, Strength of Hollow Cylinders [in Russian], Mashinostroenie, Moscow (1981).

    Google Scholar 

  8. 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 

  9. S. G. Lekhnitskii, Theory of Elasticity of an Anisotropic Body, Mir, Moscow (1981).

    MATH  Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  12. 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  ADS  Google Scholar 

  13. 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  MathSciNet  MATH  Google Scholar 

  14. Ya. M. Grigorenko and L. S. Rozhok, “Stress analysis of longitudinally corrugated hollow orthotropic cylinders,” Int. Appl. Mech., 46, No. 3, 255–263 (2010).

    Article  ADS  Google Scholar 

  15. Ya. M. Grigorenko and L. S. Rozhok, “Influence of curvature on the stress state of hollow cylinders with complex-shaped noncircular cross-section,” Int. Appl. Mech., 46, No. 7, 737–743 (2010).

    Article  ADS  Google Scholar 

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

    Article  ADS  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 & L. S. Rozhok

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  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. 47, No. 6, pp. 48–56, November 2011.

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Grigorenko, Y.M., Rozhok, L.S. Stress state of layered hollow cylinders with irregularly shaped cross-section. Int Appl Mech 47, 645–652 (2011). https://doi.org/10.1007/s10778-011-0487-5

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  • DOI: https://doi.org/10.1007/s10778-011-0487-5

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