Mathematical models of dynamic systems that include layered watered poroelastic foundations
https://doi.org/10.12737/20215
Abstract
New mathematical models including an oscillation generator and semi-bounded non-uniform in depth foundation possessing porosity, fluid saturation, and viscoelasticity, are considered. The foundation is represented by a poroelastic layer saturated with gas-liquid mixture, a heterogeneous layer with a viscoelastic coating, and a heterogeneous layer with a subsurface liquid sheet. The foundation of the pack of layers is hard. The operation of the surface oscillator is represented as Fourier series, and the problem of steady-state oscillatory conditions is solved. Applying the Fourier integral transform to the equations that describe continuous media under satisfying boundary conditions allows the construction of integral formulas describing the stress-strain condition in the layer package. A numerical algorithm to study the dependence of the ground-wave propagation on the mechanical and geometrical characteristics of the problem is proposed. The models described are widely used in Geophysics, seismic exploration, construction, railway design, and new material designing.
About the Authors
Elena A. Usoshina
Eurogroup” LLC
Russian Federation
Russian Federation
Tatiana V. Suvorova
Rostov State Transport University
Russian Federation
Russian Federation
Arkady N. Solovyev
Don State Technical University
Russian Federation
Russian Federation
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Review
For citations:
Usoshina E.A., Suvorova T.V., Solovyev A.N. Mathematical models of dynamic systems that include layered watered poroelastic foundations. Vestnik of Don State Technical University. 2016;16(3):10-16. (In Russ.) https://doi.org/10.12737/20215
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