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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Certificate no. 2018614767 Programma MultiScale_SMCM dlya mnogomasshtabnogo modelirovaniya napryazhenno-deformirovannogo sostoyaniya konstrukcij iz kompozicionnyh materialov, na osnove metoda mnogourovnevoj asimptoticheskoj gomogenizacii i konechno-elementnogo resheniya trekhmernyh zadach teorii uprugosti [MultiScale_SMCM program for multiscale modeling of the stress-strain state of structures made of composite materials, based on the method of multilevel asymptotic homogenization and finite element solution of three-dimensional problems of elasticity theory]: certificate of ofic. registration of computer programs/ Yu.I. Dimitrienko, S.V. Sborshchikov, Yu.V. Yurin; applicant and copyright holder: BMSTU — no. 2018677684; application 21.02.2018; registered in the register of computer programs 17.04.2018 — [1].
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