Spectrum of One-Dimensional Natural Vibrations of Layered Medium Consisting of Elastic Material and Viscous Incompressible Fluid

• Published in: Moscow University mathematics bulletin Vol. 75; no. 4; pp. 172 - 176
• Main Authors: Shamaev, A. S., Shumilova, V. V.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.07.2020; Springer Nature B.V
• Subjects: Analysis; Computational fluid dynamics; Fluid flow; Incompressible flow; Incompressible fluids; Isotropic material; Mathematical analysis; Mathematics; Mathematics and Statistics; Multilayers; Periodic structures; Quadratic equations; spectrum; natural vibrations; layered medium

The article considers the spectrum of one-dimensional natural vibrations of a layered medium with a periodic structure consisting of an isotropic elastic material and a viscous incompressible fluid. It is established that the spectrum points are the roots of transcendental equations. In order to sol...