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”, Vestn. Chuvash. Gos. Ped. Univ. im.I.Ya. Yakovleva Ser.: Mekh. Pred. Sost., 2023, Issue 3(57),Pages <nobr>51

On solving boundary value problems for an elastic half-strip with mixed boundary conditions at the end

A. P. Kerzhaev^a, I. V. Menshova^ba, A. V. Nikitin^c

^a Institute of Earthquake Prediction Theory and Mathematical Geophysics RAS
^b Bauman Moscow State Technical University
^c Russian University of Cooperation

Abstract: 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.

Keywords: mixed problem, half-strip, trigonometric Fourier series, conjugate series.

UDC: 539.374

Received: 10.09.2023
Accepted: 01.12.2023

DOI: 10.37972/chgpu.2023.57.3.003