Study of the dispersion properties of cylindrical waveguides with variable properties

Vatul’yan, A. O.; Morgunova, A. V.

doi:10.1134/s1063771015020141

Cited by 5 publications

(1 citation statement)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, there are more general approaches to the study of the dynamics of inhomogeneous solids. Vatul'yan and Morgunova [18] studied wave propagation in an elastic inhomogeneous cylindrical waveguide. The paper develop a method for constructing the dispersion spectrum for an arbitrary type of inhomogeneity using a combination of numerical methods.…”

Section: Introductionmentioning

confidence: 99%

Dispersion properties of inhomogeneous poroelastic layer

Gusakov

Vatul’yan

2017

Z Angew Math Mech

View full text Add to dashboard Cite

This 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.

show abstract

Section: Introductionmentioning

confidence: 99%