Bending of a Round Plate under Gas Pressure


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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.

About the authors

M. A. Il’gamov

Blagonravov Institute of Mechanical Engineering; Institute of Mechanics and Engineering of the Kazan Scientific Center of RAS; Bashkir State University; Institute of Mechanics of the Ufa Scientific Center

Author for correspondence.
Email: ilgamov@anrb.ru
Russian Federation, Malyi Kharitonievskii per. 4, Moscow, 101990; ul. Lobachevskogo 2/31, Kazan, 420111; ul. Zaki Validi 32, Ufa, 450076; pr. Oktyabrya 71, Ufa, 450054

V. E. Moiseeva

Institute of Mechanics and Engineering of the Kazan Scientific Center of RAS

Email: ilgamov@anrb.ru
Russian Federation, ul. Lobachevskogo 2/31, Kazan, 420111

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