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Analytical estimates of the contact zone area for a pressurized flat-oval cylindrical shell placed between two parallel rigid plates

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Abstract

The paper presents an analytical estimate for an area of contact for a thin-walled noncircular cylindrical shell placed between two parallel rigid plates with an initial gap and then pressurized hydrostatically up to the contact appearance. The Euler–Bernoulli beam is used to model the shell deformation under the plane strain assumption. Such a simplification allows one to obtain the simplest closed-form estimate for the contact zone area. The first approximation is obtained neglecting the deformation of the curvilinear segments of the flat oval shell cross-section while the solution for the curved beam loaded by the homogeneous pressure is considered as a second approximation. The accuracy of the proposed analytical solutions as well as their usability in the preliminary design of thin-walled elements of various cooling systems is validated by the results of both numerical simulations and experimental tests.

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Acknowledgements

This study was supported by the Ministry of Science and Higher Education of the Russian Federation (Government Assignment no. 9.1077.2017/PCh).

Funding

This study was supported by the Ministry of Science and Higher Education of the Russian Federation (Government Assignment no. 9.1077.2017/PCh).

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Authors and Affiliations

  1. Moscow Aviation Institute, Moscow, Russia

    Evgeny Lomakin, Lev Rabinskiy, Yury Solyaev & Arseniy Babaytsev

  2. Moscow State University, Moscow, Russia

    Evgeny Lomakin

  3. PAO Radiophysica, Moscow, Russia

    Valery Radchenko

  4. Institute of Applied Mechanics of the Russian Academy of Sciences, Moscow, Russia

    Yury Solyaev & Sergey Zhavoronok

Authors
  1. Evgeny Lomakin
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  2. Lev Rabinskiy
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  3. Valery Radchenko
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  4. Yury Solyaev
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  5. Sergey Zhavoronok
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  6. Arseniy Babaytsev
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Corresponding author

Correspondence to Yury Solyaev.

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Lomakin, E., Rabinskiy, L., Radchenko, V. et al. Analytical estimates of the contact zone area for a pressurized flat-oval cylindrical shell placed between two parallel rigid plates. Meccanica 53, 3831–3838 (2018). https://doi.org/10.1007/s11012-018-0919-y

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  • DOI: https://doi.org/10.1007/s11012-018-0919-y

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