Asymptotics for the eigenelements of vibrating membranes with very heavy thin inclusions

DOI10.1016/S1631-0721(02)01531-0zbMath1372.74030OpenAlexW2108776734MaRDI QIDQ1022174

Delfina Gómez, Miguel Sousa Lobo, Yu. D. Golovatyj, M. Eugenia Pérez

Publication date: 10 June 2009

Published in: Comptes Rendus. Mécanique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-0721(02)01531-0

zbMATH Keywords

concentrated massesvibrationsspectral analysislow frequenciesmedium frequencies

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Inhomogeneity in solid mechanics (74E05) Membranes (74K15)

Related Items (5)

Membranes with thin and heavy inclusions: Asymptotics of spectra ⋮ Vibrating systems with rigid light-weight inclusions: asymptotics of the spectrum and eigenspaces ⋮ ON VIBRATING MEMBRANES WITH VERY HEAVY THIN INCLUSIONS ⋮ Spectral stiff problems in domains surrounded by thin bands: asymptotic and uniform estimates for eigenvalues ⋮ Low and high frequency approximations to eigenvibrations of string with double contrasts

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