Investigation of the frequency characteristics of the motion of a thin-walled cylindrical shell with a low added mass taking into account torsional vibrations

DOI: 10.34759/trd-2023-129-06

Аuthors

Dobryshkin A. Y.^*, Sysoev O. E.^**, Sysoev E. O.^**, Petrov V. V., Bormotin K. S.

Komsomolsk-na-Amure State University, 27, Lenina str., Komsomolsk-on-Amur, 681013, Russia

*e-mail: wwwartem21@mail.ru
**e-mail: fks@knastu.ru

Abstract

The destruction of shell structures is a rare man-made disaster that occurs for numerous reasons. When designing shell-type structures, calculations are made for strength and stability, operating modes are taken into account, and real calculations are not made for the occurrence of the resonance phenomenon, which thin-walled shell structures are subject to. This happens due to the discrepancy between the existing mathematical models and the behavior of real structures. To combat the phenomenon of resonance, designers usually increase the safety margins when calculating shells, which increases the cost of objects, but does not completely solve the problem. In most cases, this resonance phenomenon is combated by strengthening the structures, which leads to an increase in the material consumption and cost of the structures. Antiresonant devices are used extremely rarely, despite their low cost, since the available mathematical models do not accurately describe the process of vibrations of cylindrical shells. And without accurate mathematical models, it is impossible to control antiresonance devices. In this paper, the authors refined the computational model of the process of vibrations of a shell of small length (ring) carrying a small added mass, taking into account torsional vibrations, and experimentally verified the model obtained. The study is a consideration of the contour, which in this case can be represented as a cylindrical shell of small length (ring). Quite logical is the criterion of the oscillatory motion of this shell, namely, changes in the radius in the course of vibrations. Based on the data obtained, it can be concluded that the vibrations of the shell, in this case, radial and torsional vibrations predominate, are classified as high-frequency vibrations.

Keywords:

vibrations, thin-walled shell, torsional vibrations, small added mass

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