Modeling vibrations of a thin-walled cylindrical shell under uniform temperature impact at a variation formulation of the problem

DOI: 10.34759/trd-2021-117-03

Аuthors

Sysoev E. O.^*, Dobryshkin A. Y.^**, Sysoev O. E.^*, Zhuravleva E. V.^***

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

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

Abstract

The purpose of the article consists in verifying mathematical model of thin-walled cylindrical shell vibrations under the impact of the uniform temperature based on variation formulation, and employing various methods, including the experimental one.

The state-of-the-art construction often employs expressive and cost-effective shapes of buildings and structures in the form of thin-walled cylindrical shells. These buildings herewith are being exposed to temperature impacts and external forces action, leading to technogenic accidents. To avoid these accidents, frequency responce of buildings and structures should be computed. Dynamic temperature variations of the shell lead to the elastic modulus of buildings changing, which affects the frequency response dynamics. The existing vibration analysis models for thin-walled cylindrical shells do not fully account for this fact, thus, improved analytical models development is required with confirmation of the high quality of the developed model. Experimental verification is one of the most common methods of mathematical models proofing. The new theoretical basis parameters are being verified with a realistic scaled-down model of the structure, and comparison of experimental and theoretical data is being performed.

The article presents a new design model for thin-walled cylindrical structures vibrations being exposed to the uniform heating, based on variation formulation. The obtained design model has been verified by experiment, and its application range has been determined.

The new verified mathematical model can be used for performing structural analysis, in design bureaus conducting vibration analysis for cylindrical shells.

Comparison of experimental and theoretical results of was performed. Convergence of the results is less than 5%. It was demonstrated also that the experimental data revealed a discrepancy with the results obtained while vibrations computing of the open cylindrical shells by the well-known mathematical model.

Keywords:

thin-walled cylindrical shell, forced vibrations, design model, experimental research, variation formulation of the problem

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