Abstract

The stability of forced steady-state oscillations of composite shells of revolution subjected to an external uniform load with an audio frequency is investigated within the framework of the geometrically nonlinear theory of shells. The investigation is conducted using the method of the numeric construction of periodic solutions of systems of nonlinear differential equations describing the dynamic behavior of shells. A class of shells composed of cylindrical and toroidal bands connected to ellipsoidal and spherical bottoms and covers is examined. A number of problems of the stability of forced oscillations of these shells is solved, curves of critical dynamic loads versus frequency of steady-state ocillations are plotted, and the modes of stability loss of the oscillations are defined.

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