论文标题

在中尺度近似值上,用于惯性夹杂物较低维簇的膜振动

On meso-scale approximations for vibrations of membranes with lower-dimensional clusters of inertial inclusions

论文作者

Maz'ya, Vladimir, Movchan, Alexander, Nieves, Michael

论文摘要

在本文中,我们考虑了用于一类中尺度近似的形式渐近算法,用于弹性膜的振动问题,弹性膜的振动问题包含沿着预定的光滑形状轮廓分布的小惯性夹杂物簇。已经确定了惯性结构化界面的有效传输条件,并为包含较低维置簇的域的特征值问题近似。

In this paper we consider formal asymptotic algorithms for a class of meso-scale approximations for problems of vibration of elastic membranes, which contain clusters of small inertial inclusions distributed along contours of pre-defined smooth shapes. Effective transmission conditions have been identified for inertial structured interfaces, and approximations to solutions of eigenvalue problems have been derived for domains containing lower-dimensional clusters of inclusions.

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