539.36 Finite element modeling of natural vibrations of shell structures

Dimitrienko Y. I. (Bauman Moscow State Technical University), Yurin Y. V. (Bauman Moscow State Technical University), Bogdanov I. O. (Bauman Moscow State Technical University), Maremshaova A. A. (Bauman Moscow State Technical University)

SHELLS, NATURAL OSCILLATIONS, FINITE ELEMENT METHOD, VARIATIONAL PROBLEM STATEMENTS, ANSYS, SMCMSHELLS, NATURAL OSCILLATIONS, FINITE ELEMENT METHOD, VARIATIONAL PROBLEM STATEMENTS, ANSYS, SMCM


doi: 10.18698/2309-3684-2023-3-317


A numerical algorithm for solving the problem of natural vibrations for thin-walled shell structures based on the finite element method is proposed. A software module has been developed as part of the SMCM software package, which implements the proposed numerical algorithm. A test problem was solved for natural vibrations of a cylindrical shell structural element. A comparative analysis of eigenfrequencies and eigenmodes was carried out with similar results obtained using a two-dimensional shell solution in the ANSYS software package, as well as with the results of solving a three-dimensional problem for natural vibrations in the ANSYS software package.


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