Scientific Journal of KubSAU

We propose an approach to the modeling of stressstrain state of lithospheric structures near faults by modeling them as Kirchhoff plates on threedimensional elastic foundation. We describe an efficient method of solving problems for plates with rectilinear fractures, based on the transformation of the differential operator, which allows us to analyze the solutions obtained for different contact conditions in the area of the fracture. The method is presented on the example of the vibration problem of two elongated plates on the surface of the elastic layer under the effect of concentrated surface load. The results of numerical implementation of the developed algorithm make it possible to identify the influence of the substrate properties, characteristics of the plates and the nature of their border interactions on the picture of wave process in the test structure. At the same time obtained configurations of the harmonic signal passage through the fracture can serve as an indicator of its type. The proposed approach should be used to determine the presence and type of fractures based on measurements of signals from vibration sources in cases when geophysical environment can be modeled by the previously described structure. The problems of studying objects we reviewed in this paper also occur in various areas of technology, and, therefore we can apply the proposed method for their solution