Geodesic
Numerical determination of the splitting of natural frequencies of an thin-walled shell with small nonaxisymmetric of the of the middle surface
Matematičeskoe modelirovanie, Tome 35 (2023) no. 3, pp. 106-126

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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.
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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     title = {Numerical determination of the splitting of natural frequencies of an thin-walled shell with small nonaxisymmetric of the of the middle surface},
     journal = {Matemati\v{c}eskoe modelirovanie},
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     publisher = {mathdoc},
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     year = {2023},
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O. Naraykin; F. Sorokin; S. Kozubnyak. Numerical determination of the splitting of natural frequencies of an thin-walled shell with small nonaxisymmetric of the of the middle surface. Matematičeskoe modelirovanie, Tome 35 (2023) no. 3, pp. 106-126. http://geodesic.mathdoc.fr/item/MM_2023_35_3_a6/