APPROXIMATE SOLUTION OF THE AN ELASTIC LAYER VIBRATION TASK BEING EXPOSED OF MOVING LOAD

The present work is devoted to the dynamics stability study of wave processes of plane and circular elements, and it is also being considered a class of plane tasks about moving loads effect on the surface of a layered elastic half-plane under the nonlinear law of stress versus deformation. While studying the wave processes of planar and circular elements in deformable bodies, the concept of phase velocity is introduced as the rate of phase medium change. In the case of harmonic vibrations of a cylindrical shell, the phase speed is expressed through the frequency of natural oscillations of freely supported along the edges of the shell, and therefore, the investigation of waves in plane and circular elements has the most direct relation to the problem of determining the own forms and vibration frequencies of finite length shells. If the studies are carried out taking into account the material rheological properties of considered system, there is a surrounding system environment, also generally displaying rheological properties, the use of these methods is considerably difficult. In such cases, the influence of rheological parameters on the components of the complex phase velocity is studied in definite values of the vibration frequencies. At present article, it is being considered an approximate solution of the nonlinear task about the effect of a moving load on an elastic layer lying on an undeformable base under the nonlinear stress law of depending strains from deformations.