Abstract
AbstractThis paper deals with the problem of free oscillations of a transversely‐isotropic inhomogeneous poroelastic layer. Dynamic behaviour of a poroelastic layer is modeled using linear Biot's consolidation theory. The problem is described by a system of linear differential equations with complex coefficients. We reduce this system to an equivalent system of double dimension with real coefficients. The dispersion relation is obtained using the shooting method. In order to obtain analytical approximation for the first curves of the dispersion spectrum, the Galerkin and Ritz methods are used. Structural features of the dispersion spectrum for an inhomogeneous transversely‐isotropic poroelastic layer are described. The dependence of the form of the dispersion spectrum on the inhomogeneity type is revealed. The comparative analysis of the numerical and analytical methods is provided.
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