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Bending of an Elastic Plate in a High Pressure Field

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Abstract

The derivation of the equation of static cylindrical bending of a thin plate under the action of pressures on its surface and end edges is given. The reduction over the thickness of the plate is taken into account, the effect of which becomes noticeable at high average pressure. The refined value of the transverse distributed force is used. The dependence of the bending on the average pressure and the rigidity of the supports in the longitudinal direction is considered.

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Funding

This work was supported by the Russian Science Foundation, grant no. 22-21-00578, https://rscf.ru/project/22-21-00578/.

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Authors and Affiliations

  1. Mechanical Engineering Research Institute of the Russian Academy of Sciences (IMASH RAN), Moscow, Russia

    M. A. Ilgamov

  2. Institute of Mechanics and Engineering, Kazan Scientific Center of the Russian Academy of Sciences, Kazan, Russia

    M. A. Ilgamov

  3. Mavlyutov Institute of Mechanics, UFIC Russian Academy of Sciences, Ufa, Russia

    M. A. Ilgamov

Authors
  1. M. A. Ilgamov
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Correspondence to M. A. Ilgamov.

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Ilgamov, M.A. Bending of an Elastic Plate in a High Pressure Field. Dokl. Phys. 68, 319–323 (2023). https://doi.org/10.1134/S1028335823100051

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  • DOI: https://doi.org/10.1134/S1028335823100051

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