Mechanics

This work isdevoted to the numerical study of unsymmetrical buckling of shallow spherical shells and annular plates with varying mechanical characteristics subjected to internal pressure. We suppose that the edge of the shell is clamped but moving freely in the shell’s plane. For the annular plate a roller support is considered for the inner edge of the plate, i.e. the edge that can slide along the figure axes without changing the slope. The unsymmetric part of the solution is sought in terms of multiples of the harmonics of the angular coordinate.

The analysis of the models characterizing the preparation of starting earthquakes for different types of stresses on tectonic plates enabled to convey the analysis of a possibility of earthquakes for the case of the parallelfaults ,which simultaneously allows to figure ways of the irprediction, i.e.permits to reduce earth quake risk. The investigation of the arisen block structure applied the topological approach. The boundary problem imbeds into the topological structure and transforms in the functional equations.

Deformation of sandwich beam in a temperature field under the action of uniformly distributed and sinusoidal local loads is considered. An analytical view of the loads was set by using functions of Heaviside. To describe kinematic properties of an asymmetric through thickness of sandwich beam we have accepted the hypotheses of a broken line as follows: Bernoulli’s hypothesis is true in the thin bearing layers; Timoshenko’s hypothesis is true in the compressible through thickness filler with a linear approximation of displacements through the layer thickness.