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Vibrating Systems with Many Concentrated Masses: On the Low Frequencies and the Local Problem

  • Eugenia Pérez

Abstract

We consider the vibrations of a body occupying a domain Ω of ℝ n , n = 2,3, that contains many small regions of high density near the boundary, so-called concentrated masses. We refer to [1]–[5] for a previous study of these vibrating systems, and to [6]–[8] for vibrating systems with one single concentrated mass. We study the asymptotic behavior, as ε → 0, of the eigenelements (λε, u ε of the corresponding spectral problem (31.2).

Keywords

Eigenvalue Problem Local Problem Spectral Problem Concentrate Masse Whisper Gallery Mode 
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References

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Eugenia Pérez

There are no affiliations available

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