Frequency Response of Layered Half-Space under Different Conditions of Interlayer Adhesion (on the Example of Highways)

The aim of the work is to analyze the dynamic response of a layered medium (on the example of road pavement of highways), on dynamic impact for the conditions of “soldered” contact between separate layers, and conditions of full slip. To solve this problem, a mathematical model of the dynamic stress-strain state of a layered half-space is applied, based on the solution of the Lame equation in displacements, using the Hankel integral transformation, construction of the amplitude-frequency response (AFR) of accelerations on the surface of the studied medium, obtained directly from the AFR of displacements. In the course of numerical experiment on this model, it was found that the case of mating contact between the pavement layers corresponds to the presence of one well-defined frequency extremum on the AFC of accelerations. The case of “full slip” corresponds to the presence of a number of frequency extrema on the acceleration frequency response. In this case, when modeling the full slip at the boundary of the bottom layer of the half-space and the underlying half-space and varying the modulus of elasticity of the half-space, the presence of a well-defined frequency extremum in the range of 426—531 Hz is noted, presumably corresponding to the oscillations of the underlying half-space itself. The established regularities can be used at perfection of methods and means of nondestructive control of layered media, in particular for increase of informativeness about their structural condition necessary for decision-making about repair or major repair.

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