THE INFLUENCE OF BOUNDARY CONDITIONS OF RIGID FASTENING ON THE DYNAMICAL THERMOSTABILITY OF SHELLS OF REVOLUTION, WITH AN ELASTIC FILLER.

The aim of the present paper is to investigate the influence of boundary conditions of rigid fastening on the boundaries of regions of dynamical instability of closed shells of revolution, close by their forms to cylindrical ones, with an elastic filler. It is assumed that a shell is under the action of external pressure which varies in time and temperature. We consider the shells of average length whose shape of generatrix of the middle surface is a parabolic function. We consider the shells of positive and negative Gaussian curvature. The formulas are obtained for finding eigenfrequencies and boundaries of regions of dynamical instability depending on the boundary conditions, Gaussian curvature, initial stressed state, temperature and amplitude of a shell deviation from cylindrical form. The focus is on finding the moot dangerous area of dynamical instability and on the lowest eigenfrequencies of shells under consideration. [ABSTRACT FROM AUTHOR]