MATEC Web Conf.
Volume 251, 2018VI International Scientific Conference “Integration, Partnership and Innovation in Construction Science and Education” (IPICSE-2018)
|Number of page(s)||5|
|Section||Modelling and Mechanics of Building Structures|
|Published online||14 December 2018|
The approximate method of determining the integral physical characteristics in some problems of technical theory of plates
Orel State University named after I.S. Turgenev, Komsomolskaya str. 95, 302026 Orel, Russia
* Corresponding author: firstname.lastname@example.org
The paper considers the dimensionless geometric characteristic R/r (R is the maximum radius of a circle inscribed in a given region, r is the minimum radius of a circle circumscribed around it), which is used as a geometric analogue of integral characteristics in problems of the technical theory of plates and theory of elasticity. By numerical experiment the authors showed that using this characteristic as the only argument made it possible to approximate with one elementary function all the solutions for short plates, which satisfied the condition (0.5 < R/r < 1) in problems of trans-verse bending, free oscillations and stability of plates.
© The Authors, published by EDP Sciences, 2018
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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