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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Senashov S.I., Savostyanova I.L. Bending of an elastic-plastic beam of box section // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2024. № 1(59). p. 107-114
Author(s):Senashov S.I., Savostyanova I.L.
Index of UDK:539.374
DOI:10.37972/chgpu.2024.59.1.006
Title:Bending of an elastic-plastic beam of box section
Keywords:elastic-plastic bending, box bar, exact solution, conservation laws.
Abstracts:In space technology, hollow box-shaped rods of large length are used to extend antennas on spacecraft. These rods are made of multilayer composite materials. Under the influence of solar radiation, stresses arise in the rods, which significantly affect the functions of the devices located on the extended structure. In the work, the authors considered an elasto-plastic box-shaped rod that bends by transverse force. It is assumed that deformations in the rod are elasto –plastic and its lateral surface is stress-free. The center of gravity of the cross section does not coincide with the point of application of force. The authors have constructed an exact solution using conservation laws describing the stress state of this structure. The authors calculated the stress state at each point of the considered figure using integrals along the external contours of the cross section.
The contact details of authors:Sergei I. Senashov, Dr. Sci. Phys. & Math., Professor; e-mail: sen@sibsau.ru; https: //orcid.org/0000-0001-5542-4781; AuthorID: 214483 Irina L. Savostyanova, Ph.D. in Pedagogy; e-mail: savostyanova@sibsau.ru; AuthorID: 742389
Pages:107-114
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