ABSTRACT
A numerical study (ANSYS software) deals with deformation and buckling of two series of elastic isotropic shallow closed shells subjected to external pressure: 1) circular cones and 2) spherical segments. All the shells have the same thickness and dimensions. Fixation of edges is periodically discrete. Movable supports are alternative with hinged supports. The fixation causes periodically non-uniform stress-strain state in the circumferential direction. Periodicity of prebuckling stress-strain state is equal to a number of fixed sections. Buckling behaviour of cones and spheres is different. The phenomenon of “static resonance” is found for conical shells. The essence of the effect is as follows. The minimum limit pressure of geometrically nonlinear analysis corresponds to the periodicity of stress-strain state of a conical shell which coincides with a half-sum of periodicity of the first eigenvibration mode of an unloaded shell and the first eigenmode of a continuously hinged-supported shell subjected to external pressure.
