Abstract:
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, perturbation method, perturbed operator, direct tensor calculus.