Vibrations of composite thin-walled cylindrical open shells

DOI: 10.34759/trd-2022-122-05

Аuthors

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

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

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

Abstract

Structures with thin-walled open shells bear an optimal ratio of the internal volume to the area of the enclosing surface. Such shells application therewith has disadvantages, namely, they are very sensitive to the forced vibrations originating from the external forces, such as wind and snow loads, equipment operation, etc. The article shows the necessity to shell structures calculating on dynamic processes caused by the forced vibrations impact. A model for the circular vibration frequency computing of a thin-walled cylindrical composite open shell with hinged support was obtained. A numerical experiment was conducted to compare the results and determine the error between the obtained computational model and the proven computer aided calculation performed with the Lira-CAD program. The effect of the number of longitudinal half-waves on the circular vibration frequency of the composite open shell was determined. The numerical characteristics of the vibration frequency of thin-walled shells may as well change due to the extra inclusions on the shells, such as an orifice, reinforcing rib, an attached plate, etc. Experimental data testify that these changes are of non-proportional character, which does not correspond to the generally known results of theoretical studies. Thus, the structures analysis on the dynamic vibrations requires refined mathematical models development. The authors propose a new approach to the finite-dimensional model creation – a form of solving the problems of vibrations of a shell, carrying a small attached mass. The mathematical model refinement led to better quantitative and qualitative results compared to the known analytical solutions. In their earlier works, the authors analytically and numerically showed that the frequency reducing effect does not depend only on the magnitude of the shape initial irregularities, as is commonly believed at present, but on the geometric and wave parameters of the shell as well. The proposed approach is generalized for the case of vibrations of shells of finite length.

Keywords:

forced vibrations, thin-walled open shell, averaged modulus of elasticity Vibrations of composite thin-walled cylindrical open shells

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