STABILITY OF TRANSIENTS IN SHELLS OF COMPLEX SHAPE

This paper reports the results of a numerical investigation of the stability of nonsteady regimes of motion of a shell of complex form caused by impulsive loads which are either suddenly applied or which increase over time. The solutions of systems of nonlinear differential equations in partial derivatives which describes the forced vibrations of the shells reduces to integration of ordinary differential equations formulated in the space of eigenvectors of a linearized operator. A numerical method is used for solving problems of shell stability and vibration based on the technique of basis reduction.