Metadata (abstracts and keywords) for the articles in the journal
A.P. Kerzhaev, I.V. Menshova, A.V. Nikitin Inhomogeneous problem for a strip with different boundary conditions // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2023. № 2(56). p. 65-75
Author(s):
A.P. Kerzhaev, I.V. Menshova, A.V. Nikitin
Index of UDK:
539.3
DOI:
10.37972/chgpu.2023.56.2.007
Title:
Inhomogeneous problem for a strip with different boundary conditions
In this paper, an exact solution to an inhomogeneous problem of elasticity theory is constructed for an infinite strip, the lower side of which is rigidly clamped, while the upper side is free. An external load acts along the vertical axis of the strip. The solution method is based on the use of the Papkovich orthogonality relation. The solution is represented in the form of series in Papkovich–Fadle eigenfunctions, the coefficients of which are determined explicitly. Examples of solving the problem are given.
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.
Russian
English