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This article is cited in 1 scientific paper (total in 1 paper)
Mechanics
Dynamic problem for a thin-walled bar with a monosymmetric profile
T. B. Elekina, E. S. Vronskaya Samara State Technical University, Samara, Russian Federation
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
The paper presents an analytical solution to the dynamic problem for a thin-walled elastic rod, the cross-section of which has one axis of symmetry. The solution is constructed for an arbitrary dynamic load and two types of boundary conditions: hinged support in constrained torsion and free warping of the end sections of the rod; rigid fastening with constrained torsion and absence of warping. The peculiarity of the mathematical model lies in the fact that the differential equations of motion contain a complete system of inertial terms. Spectral expansions obtained as a result of using the method of integral transformations are represented as an effective method for solving linear non-stationary problems in mechanics. The structural algorithm of the method of finite multicomponent integral transformations proposed by Yu.E. Senitsky is used.
Keywords:
thin-walled bar, symmetric profile, boundary value problem, dynamic load, natural vibrations, natural vibration frequency, forced vibrations, integral transformations.
Received: 15.01.2020 Revised: 30.01.2020 Accepted: 25.05.2020
Citation:
T. B. Elekina, E. S. Vronskaya, “Dynamic problem for a thin-walled bar with a monosymmetric profile”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 26:2 (2020), 63–69
Linking options:
https://www.mathnet.ru/eng/vsgu630 https://www.mathnet.ru/eng/vsgu/v26/i2/p63
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Abstract page: | 80 | Full-text PDF : | 27 | References: | 11 |
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