IRRIGATION VALUE THE MECHANICAL COMPOSITION RIVER SPRING THE EFFECT OF THE INHOMOGENEITY OF ELASTIC MEDIUM ON THE INITIATION OF RESONANT WAVES UNDER MOVING LOAD
The wave processes in an inhomogeneous elastic medium under the action of an external load moving along a free surface are investigated. The waveguide properties of the system are preliminarily studied. The multiple roots of the dispersion equations are revealed and the critical load velocities leading to the formation of resonance processes are determined. The solutions of the dispersion equations make it possible to determine the additional critical velocities in the mid-wave spectrum depending on the structure parameters. For simple models, analytical solutions of the development of resonance processes are obtained that are asymptotically correct for relatively large values of time. The computer simulations allow us to analyze the quantitative features of the process over the entire time period of the load. Numerical and asymptotic results are compared to reveal the range of the asymptotic solution acceptability.