Skip to main content
Log in

Determination of the strained state of thin-walled cellular structures

  • Published:
Materials Science Aims and scope

By using Fourier series, we find the components of the vector of displacements of the middle surface of cellular cylindrical shells and compare the results with the corresponding averaged components. This enables us to justify the possibility of application of the averaged method to the analyses of the strained states of cellular pipelines on the engineering level. Two boundaryvalue problems of finding deflections in structures of this sort are solved.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. V.Shvabauér and I. V. Gvozdev, “Numerical analysis of an underground pipeline made of thermoplastic materials,” Polim. Truby, No. 3, 52–56 (2007).

    Google Scholar 

  2. V. H. Horopats’kyi, V. M. Boleichuk, M. I. Dorosh, and M. H. Stashchuk, “Comparative analyses of cellular pipes according to different national standards,” in: Proc. of the Conf. “Systems-2008: Metrology, Standardization, and Certification” [in Ukrainian], Lviv (2008), pp. 99-102.

  3. M. H. Stashchuk and M. I. Dorosh, “Determination of the strained state of reinforced cellular pipelines,” in: Proc. of the Internat. Sci. Conf. on Contemporary Problems in Mechanics and Mathematics (May 25–29, 2008, Lviv), [in Ukrainian], Vol. 2, Lviv (2008), pp. 239–241.

  4. O. V. Maksymchuk, M. H. Stashchuk, and M. I. Dorosh, “Numerical analysis of a cellular polymeric pipeline reinforced with a periodic system of elastic frames,” Mat. Met. Fiz.-Mekh. Polya, No. 2, 135–143 (2009).

    Google Scholar 

  5. N. G. Stashchuk, Problems of the Mechanics of Elastic Bodies with Cracklike Defects [in Russian], Naukova Dumka, Kiev (1993).

    Google Scholar 

  6. A. L. Goldenveizer, Theory of Thin Elastic Shells, Pergamon Press, Oxford (1961).

    Google Scholar 

  7. A. S. Avdotin, Applied Methods for the Numerical Analyses of Shells and Thin-Walled Structures [in Russian], Mashinostroenie, Moscow (1969).

    Google Scholar 

  8. S. P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells, McGraw Hill, New York (1959).

    Google Scholar 

  9. G. P. Tolstov, Fourier Series [in Russian], Nauka, Moscow (1980).

    MATH  Google Scholar 

  10. S. A. Ambartsumyan, General Theory of Anisotropic Shells [in Russian], Nauka, Moscow (1974).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. H. Stashchuk.

Additional information

Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 45, No. 4, pp. 67–75, July–August, 2009.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Stashchuk, M.H., Dorosh, M.I. Determination of the strained state of thin-walled cellular structures. Mater Sci 45, 542–554 (2009). https://doi.org/10.1007/s11003-010-9212-5

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11003-010-9212-5

Keywords

Navigation