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IssuesArchive of Issues2019-2pp.348-355

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M.A. Ilgamov, "Generalization of the Thin Plate Bending Equation under the Action of Gas," Mech. Solids. 54 (2), 348-355 (2019)
Year 2019 Volume 54 Number 2 Pages 348-355
DOI 10.3103/S0025654419030130
Title Generalization of the Thin Plate Bending Equation under the Action of Gas
Author(s) M.A. Ilgamov (Blagonravov Mechanical Engineering Institute, Russian Academy of Sciences, Moscow, 101990 Russia; Mavlyutov Institute of Mechanics, Ufa Center, Russian Academy of Sciences, Ufa, 450054 Russia, ilgamov@anrb.ru)
Abstract The transverse distributed load on an elastic thin plate in a gas environment is determined. Different values of the pressure of the medium on both surfaces form both the pressure difference and the transverse unbalanced force depending on the average pressure and curvature of the mid-surface. It is shown that in the general case both of these components of the transverse force should be taken into account. With a small ratio of the average pressure to the elastic modulus of the plate material and a large relative thickness, the influence of the second load component is small. With a small relative thickness of the plate and a large ratio of the average medium pressure to the elastic modulus of the material, the influence of the second component of the transverse bending load becomes comparable to the bending stiffness of the plate. Linear bending and plate stability are considered.
Keywords rectangular plate, bend, excess pressure, boundary conditions, critical compressive force, effective fluid
Received 24 October 2017
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