Abstract

Problems about vibrations of an orthotropic layer with a cylindrical cavity with an arbitrary transverse cross section under the action of a load applied on its surface are considered. In the case of cavities with a small relative size, an asymptotic approach to the calculation of fields is proposed. An estimate of the applicability area of the asymptotic approach in comparison with the method of boundary integral equations, as well as a comparison with the solution obtained based on the Born approximation are presented.

中文翻译：

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特征尺寸小的缺陷层中波场的渐近计算

摘要

考虑具有正交横截面的圆柱腔的正交各向异性层在表面施加载荷的作用下的振动问题。在空洞相对较小的情况下，提出了一种渐近计算场的方法。提出了与边界积分方程法相比，渐近法的适用范围的估计，以及与基于伯恩逼近法得到的解的比较。