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IssuesArchive of Issues2019-4pp.551-558

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M.A. Il'gamov and V.E. Moiseeva, "Bending of a Round Plate under Gas Pressure," Mech. Solids. 54 (4), 551-558 (2019)
Year 2019 Volume 54 Number 4 Pages 551-558
DOI 10.3103/S0025654419040083
Title Bending of a Round Plate under Gas Pressure
Author(s) M.A. Il'gamov (Blagonravov Institute of Mechanical Engineering, Russian Academy of Sciences, Malyi Kharitonievskii per. 4, Moscow, 101990 Russia; Institute of Mechanics and Engineering of the Kazan Scientific Center of RAS, ul. Lobachevskogo 2/31, Kazan, 420111 Russia; Bashkir State University, ul. Zaki Validi 32, Ufa, 450076 Russia; Institute of Mechanics of the Ufa Scienti fic Center, Russian Academy of Sciences, pr. Oktyabrya 71, Ufa, 450054 Russia, ilgamov@anrb.ru)
V.E. Moiseeva (Institute of Mechanics and Engineering of the Kazan Scientific Center of RAS, ul. Lobachevskogo 2/31, Kazan, 420111 Russia, moiseeva@kfti.knc.ru)
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.
Keywords round plate, differential pressure, average pressure, linear bending, nonlinear bending
Received 16 October 2017
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