Numerical Determination of the Splitting of Natural Frequencies of a Thin-Walled Shell with Small Nonaxisymmetric Imperfections of the Middle Surface

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.