Abstract

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 solve these equations numerically for multi-layered media, the roots of quadratic equations are proposed to use as initial approximations.

中文翻译：

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弹性材料和粘性不可压缩流体组成的层状介质的一维自然振动谱

摘要

该文章考虑了具有各向同性弹性材料和粘性不可压缩流体的周期性结构的层状介质的一维自然振动的频谱。可以确定的是，光谱点是先验方程的根。为了对多层介质数值求解这些方程，建议将二次方程的根用作初始逼近。