Abstract
The effect of mean excessive pressure on the cylindrical bending of a plate is studied. An increase in this pressure leads to a decrease in deflection and vice versa. In the first case, the plate shape is stabilized under the action of longitudinal forces; in the second case, it is destabilized. The critical value of the mean pressure, upon achieving which an unlimited increase in the linear solution takes place, is determined. The dependence of the effect of the mean pressure on the bending on the boundary conditions, as well as on the ratio of pressures at the surface of the plate and at its edges, is shown.
Similar content being viewed by others
References
A. Love. A Treatise on the Mathematical Theory of Elasticity (Univ. Press, Cambridge, 1927).
I. G. Bubnov, Works on Theory of Plates (Gostekhizdat, Moscow, 1953) [in Russian].
B. G. Galerkin, Selected Works (Izd. AN SSSR, Moscow, 1953), Vol. 2 [in Russian].
S. Timoshenko, Theory of Plates and Shells (Hill Book Company Inc., 1940).
A. S. Vol’mir, Stability of Elastic Systems (Fizmatgiz, Moscow, 1963) [in Russian].
H. Sh. Shen, Postbuckling Behavior of Plates and Shells (Jiao Tong University, Shanghai, 2017).
M. A. Il’gamov, Prikl. Mat. Mekh. 80 (5), 566 (2016).
M. A. Il’gamov, Dokl. Phys. 62 (10), 461 (2017).
K. U. Demikhov and Yu. V. Panfilov, Vacuum Technology: Reference Book (Mashinostroenie, Moscow, 2009) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.A. Ilgamov, 2018, published in Doklady Akademii Nauk, 2018, Vol. 480, No. 5, pp. 542–544.
Rights and permissions
About this article
Cite this article
Ilgamov, M.A. Bending and Stability of a Thin Plate under Vacuuming Its Surfaces. Dokl. Phys. 63, 244–246 (2018). https://doi.org/10.1134/S102833581806006X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S102833581806006X