Research Journal of Applied Sciences

Year: 2015
Volume: 10
Issue: 8
Page No. 347 - 351

Own Oscillations of Transversally Isotropic Layer Between a Hard Surface and an Elastic Half-Space

Authors : Christina N. Stekhina, Dmitry N. Tumakov and Anastasia V. Anufrieva

Abstract: We consider a semi-open elastic waveguide structure formed by a transversely isotropic layer which on the one hand is firmly fixed and on the other hand is linked with an isotropic half-space. A general solution of differential equation system is obtained describing the propagation of elastic waves in a transversely isotropic medium. Using the boundary conditions and conjugation conditions at the junction of a strip and a half-space as well as the explicit representations of the fields in each of the media, a characteristic equation for the eigenvalues (longitudinal permanents) is obtained concerning our waveguide structure. We considered separately the intervals of eigenvalues. The range in which the values of the longitudinal permanents form a discrete spectrum is specified. The dependence of the longitudinal permanents real values from oscillation frequencies is studied. It is noted that the waveguide modes may exist only if the substrate (half-space) is acoustically more rigid material than the layer. It is concluded that the eigenvalues are bounded above and below by the values corresponding to wave numbers of the attached media. Also, the range is specified in which the modes are originated. It is noted that the characteristic curves are not intersected anywhere. The claculation results are presented for a transversely isotropic layer, filled with sandstone and coupled with rather solid material close to the foundation.

How to cite this article:

Christina N. Stekhina, Dmitry N. Tumakov and Anastasia V. Anufrieva, 2015. Own Oscillations of Transversally Isotropic Layer Between a Hard Surface and an Elastic Half-Space. Research Journal of Applied Sciences, 10: 347-351.

Design and power by Medwell Web Development Team. © Medwell Publishing 2020 All Rights Reserved