VIBRATIONS OF GEOMETRICALLY NONLINEAR VISCOUS-ELASTIC CYLINDRICAL SHELLS INTERACTING WITH AN ELASTIC MEDIUM

This article examines the nonlinear vibrations of a thin-walled structure such as cylindrical shell interacting with ground. On basis seismodynamic theory underground structures, nature movement is revealed depending on stiffness coefficient and rheological properties soil, well frequency external influences. When solving specific problems, seismic waves in form sinusoid are considered. Nonlinear integro-differential equations describing structures laid ground solved approximately following sequence:
 - The method decomposition displacements rad by coordinate functions applied, which selected boundary conditions. Using approximate Bubnov-Galerkin method, original partial derivatives fourth order reduced to ordinary second order;
 obtained averaging numerically.
 change stress amplitude oscillation time an elastic viscoelastic at different coefficients soil was obtained.