A skin effect for systems with many concentrated masses

DOI10.1016/S1287-4620(99)80134-3zbMath0964.74051MaRDI QIDQ4946680

M. Eugenia Pérez, Miguel Sousa Lobo

Publication date: 23 March 2000

Published in: Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy (Search for Journal in Brave)

zbMATH Keywords

concentrated massessmall parametereigenvalue problemhomogenizationspectral analysisskin effectasymptotic behaviour of eigenvaluesglobal vibrations

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (4)

On new types of vibrations of thick cascade junctions with concentrated masses ⋮ Asymptotic approximations for eigenvalues and eigenfunctions of a spectral problem in a thin graph-like junction with a concentrated mass in the node ⋮ Asymptotic expansion of eigenelements of the Laplace operator in a domain with a large number of ‘light’ concentrated masses sparsely situated on the boundary. Two-dimensional case ⋮ On vibrations of bodies with concentrated masses near boundaries

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