Geodesic
Spectrum of one-dimensional natural vibrations of layered medium consisting of elastic material and viscous incompressible fluid
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2020), pp. 53-57

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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 is studied. It is established that the spectrum points are the roots of transcendental equations. In order to solve these equations numerically for multi-layered media, the roots of quadratic equations are proposed to use as initial approximations. 
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     author = {A. S. Shamaev and V. V. Shumilova},
     title = {Spectrum of one-dimensional natural vibrations of layered medium consisting of elastic material and viscous incompressible fluid},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {53--57},
     publisher = {mathdoc},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2020_4_a7/}
}
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A. S. Shamaev; V. V. Shumilova. Spectrum of one-dimensional natural vibrations of layered medium consisting of elastic material and viscous incompressible fluid. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2020), pp. 53-57. http://geodesic.mathdoc.fr/item/VMUMM_2020_4_a7/