Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state

Bulletin of the Yakovlev Chuvash State Pedagogical University. Series: Mechanics of Limit State


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A.P. Kerzhaev, I.V. Menshova, A.V. Nikitin On solving boundary value problems for an elastic half-strip with mixed boundary conditions at the end // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2023. № 3(57). p. 51-58
Author(s):A.P. Kerzhaev, I.V. Menshova, A.V. Nikitin
Index of UDK:539.374
DOI:10.37972/chgpu.2023.57.3.003
Title:On solving boundary value problems for an elastic half-strip with mixed boundary conditions at the end
Keywords:mixed problem, half-strip, trigonometric Fourier series, conjugate series.
Abstracts:The paper deals with a boundary value problem of the theory of elasticity for a half-strip with mixed boundary conditions at its end. The boundary conditions on the long sides correspond to the periodic continuation of the solution into a half-plane, i.e. the solution is represented in the form of trigonometric Fourier series. An exact solution to the problem based on the use of conjugate trigonometric series is constructed.
The contact details of authors:Kerzhaev Alexander Petrovich, Cand. Sc. (Phys.-Math.), Senior Researcher, Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, Moscow, Russia. Menshova Irina Vladimirovna, Cand. Sc. (Phys.-Math.), Senior Researcher, Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, Moscow, Russia; Associate Professor, Bauman Moscow State Technical University, Moscow, Russia. Nikitin Andrey Vitalievich, Cand. Sc. (Phys.-Math.), Associate Professor, Cheboksary Cooperative Institute (Branch) of the Russian University of Cooperation, Cheboksary, Russia.
Pages:51-58
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