DYNAMIC STABILITY OF VISCOELASTIC FLEXIBLE PLATES OF VARIABLE STIFFNESS UNDER AXIAL COMPRESSION

摘要

The dynamic stability of viscoelastic plates of variable stiffness is analyzed. The deflections are described by partial integro-differential equations of motion. The Bubnov-Galerkin method based on monomial and polynomial approximation of deflections is used to reduce the problem to ordinary integro-differential equations with time as an independent variable. These equations are solved numerically using a singular kernel. A numerical problem-solving algorithm based on this method is described. A number of new mechanical effects are revealed.