Abstract
The effect of the average excess pressure of the environment on the linear and nonlinear bending of a round plate is studied. Different values of the gas pressure on both surfaces of the plate form a transverse distributed load, consisting of a differential pressure and the interaction of the average pressure with the curvature of the middle surface. With a small ratio of the average pressure to the elastic modulus of the material and with a large relative thickness, the influence of the second component of the bending load is small. With a large ratio of the average pressure to the elastic modulus and a small relative thickness, this effect is significant.
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Acknowledgments
The authors are grateful to M. S. Ganeeva for the discussion.
The work was partially completed within the framework of the state assignment (projects No. 0246-2019008, No. 0049-2015-0040 and under the grants of the Russian Foundation for Basic Research No. 17-41-02040017-r_a, No. 18-01-00150.
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Russian Text © Author(s), 2019, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2019, No. 3, pp. 76-86.
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Il’gamov, M.A., Moiseeva, V.E. Bending of a Round Plate under Gas Pressure. Mech. Solids 54, 551–558 (2019). https://doi.org/10.3103/S0025654419040083
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DOI: https://doi.org/10.3103/S0025654419040083