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arXiv · 2002.02810

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

Vladimir Maz'ya·Alexander Movchan·Michael Nieves
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Abstract

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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Vladimir Maz'ya, Alexander Movchan, Michael Nieves. 2020-01-21. On meso-scale approximations for vibrations of membranes with lower-dimensional clusters of inertial inclusions. https://arxiv.org/abs/2002.02810

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