Allowance for geometrical nonlinearity in dynamic problems of the theory of discretely stiffened cylindrical shells under nonstationary loading

A variant of the two-dimensional equations of the motion of a discretely stiffened cylindrical shell is considered within the framework of the elastic nonlinear Timoshenko-type theory of shells and rods. The initial system of equations of motion is derived based on the Hamilton-Ostrogradskii variation principle. A numerical algorithm for solution of such problems with allowance for discrete nonuniformities is constructed. Some aspects of equation approximation are studied. The effect of geometrically nonlinear factors on the stress-strain state of a structure is analyzed.