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Stress-strain state and stability of polymeric tubes with a honeycomb wall

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A problem of determination of the stress-strain state, stability and optimization of the honeycomb structure of a polymeric tube wall under the action of a static force load is considered. As is customary in engineering practice, the ring rigidity of the tube is taken as its main design quantity. The corresponding problem of optimization is formulated. From the condition of provision of the required value of the ring rigidity of a honeycomb polymeric cylindrical shell, we determine the geometric, physicomechanical, and technological parameters. On the basis of the performed calculations, a justification of an optimal geometry (the thickness of the wall, the diameter of a winding tubule, and the number of layers of the tube structure) is presented. Numerical results and their analysis are presented.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine

    O. V. Maksymuk, N. M. Shcherbyna, R. M. Makhnitskii & N. V. Ganulich

Authors
  1. O. V. Maksymuk
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  2. N. M. Shcherbyna
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  3. R. M. Makhnitskii
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  4. N. V. Ganulich
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Additional information

Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 51, No. 3, pp. 145–151, July–September, 2008.

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Maksymuk, O.V., Shcherbyna, N.M., Makhnitskii, R.M. et al. Stress-strain state and stability of polymeric tubes with a honeycomb wall. J Math Sci 165, 333–341 (2010). https://doi.org/10.1007/s10958-010-9802-7

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  • DOI: https://doi.org/10.1007/s10958-010-9802-7

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