Asymptotics of the Spectra of One-Dimensional Natural Vibrations in Media Consisting of Solid and Fluid Layers

摘要

The spectra of one-dimensional natural vibrations of two-phase layered media with a periodic structure are studied. The first phase is an isotropic (elastic or viscoelastic) material, while the second phase is a viscous compressible or incompressible fluid. It is established that the points of the spectrum mentioned above are the roots of transcendental equations the number of which is equal to the number of periods contained in the given sample of the layered medium. The set of initial approximations for the numerical solution of these equations for multilayered media is described.