Calculation studies of the dynamic characteristics of spherical and toroidal shells

An algorithm for the calculation of natural vibrations and waves, based on the use of special matrices belonging to the type of the Green matrices (according to the procedure [1]), is realized in this work. Results of calculations for a spherical shell and a toroidal shell are presented and discussed. The frequencies and modes of natural frequencies of gradually increasing tones are demonstrated. The data obtained are used for the calculation of propagating waves for various methods of initial perturbation. Specific features of the distribution of dynamic stresses are discovered.