Numerical determination of the splitting of natural frequencies of an thin-walled shell with small nonaxisymmetric of the of the middle surface

O. Naraykin ; F. Sorokin ; S. Kozubnyak

Matematičeskoe modelirovanie, Tome 35 (2023) no. 3, pp. 106-126.

Résumé

Based on the perturbation method, the task of determining the frequency spectrum splitting of elastic thin-walled shell, the geometry of which slightly differs from the axial symmetry, is solved. A mathematical model of the shell elastic element with arbitrarily small nonaxisymmetric geometry parameter errors and a software-algorithmic complex of numerical calculation of its natural frequency splitting are developed. With the help of computer analytics the perturbed differential-matrix operators for a thin-walled shell with arbitrary small deviations from the axial symmetry of the mid-surface shape are constructed. The results of calculations of specific shell elastic elements are presented.

Détail

Keywords: thin-walled shell, nonaxisymmetric imperfections of the median surface, frequency splitting, perturbed operator, direct tensor calculus.
Mots-clés : perturbation method

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