USE OF THE INDIRECT BOUNDARY ELEMENTS METHOD FOR ISOTROPIC PLATES ON AN ELASTIC WINKLER BASE AND PASTERNAK — VLASOV BASE


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Abstract

The calculation tasks combining lightness, economy, high strength and reliability of thin-walled structures on an elastic base are relevant for modern mechanical engineering. In this regard, the use of isotropic materials on an elastic base seems justified, therefore their calculation is considered in this article. The problems of the theory of plates and shells belong to the class of boundary value problems, the analytical solution of which, due to various circumstances (the nonlinearity of differential equations, the complexity of geometry and boundary conditions, etc.), cannot be determined. Numerical methods help to solve this problem. Among
numerical methods, undeservedly little attention is paid to the boundary element method. In this regard, the further development of indirect compensating loads method for solving problems of the theory of isotropic plates on an elastic base of Winkler and Pasternak — Vlasov, based on the application of exact fundamental
solutions, is relevant.

About the authors

P. G. Velikanov

Kazan (Volga Region) Federal University

Author for correspondence.
Email: pvelikanov@mail.ru
ORCID iD: 0000-0003-0845-2880

Candidate of Physical and Mathematical Sciences, assistant professor of the Department of Theoretical Mechanics

Russian Federation, 18, Kremlevskaya Street, Kazan, 420008, Russian Federation

N. I. Kukanov

Ulyanovsk State Technical University

Email: kukanov_n_i@mail.ru
ORCID iD: 0000-0003-0880-4591

Candidate of Physical and Mathematical Sciences, assistant professor of the Department
of Industrial and Civil Engineering

Russian Federation, 32, Severny Venets Street, Ulyanovsk, 432027, Russian Federation

D. M. Khalitova

Kazan (Volga Region) Federal University

Email: diana982000@gmail.com
ORCID iD: 0000-0002-2239-9222

Master’s degree student

Russian Federation, 18, Kremlevskaya Street, Kazan, 420008, Russian Federation

References

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Copyright (c) 2022 Velikanov P.G., Kukanov N.I., Khalitova D.M.

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