High Frequency Vibrations in a Stiff Problem
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Publication:3130137
DOI10.1142/S0218202597000177zbMath0869.73041OpenAlexW1983256890MaRDI QIDQ3130137
M. Eugenia Pérez, Miguel Sousa Lobo
Publication date: 11 September 1997
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218202597000177
Vibrations in dynamical problems in solid mechanics (74H45) Asymptotic distributions of eigenvalues in context of PDEs (35P20)
Related Items (17)
VIBRATIONS OF A THICK PERIODIC JUNCTION WITH CONCENTRATED MASSES ⋮ On the vibrations of a plate with a concentrated mass and very small thickness ⋮ Unnamed Item ⋮ ON VIBRATING MEMBRANES WITH VERY HEAVY THIN INCLUSIONS ⋮ A Dirichlet Spectral Problem in Domains Surrounded by Thin Stiff and Heavy Bands ⋮ Localization effects for Dirichlet problems in domains surrounded by thin stiff and heavy bands ⋮ A Stiff Problem: Stationary Waves and Approximations ⋮ Unnamed Item ⋮ Long time approximations for solutions of wave equations via standing waves from quasimodes ⋮ 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 ⋮ ON THE WHISPERING GALLERY MODES ON INTERFACES OF MEMBRANES COMPOSED OF TWO MATERIALS WITH VERY DIFFERENT DENSITIES ⋮ 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 ⋮ Localization effect for Dirichlet eigenfunctions in thin non-smooth domains ⋮ Asymptotic analysis of the high frequencies for the Laplace operator in a thin t-like shaped structure ⋮ Hausdorff convergence and asymptotic estimates of the spectrum of a perturbed operator ⋮ On vibrations of bodies with concentrated masses near boundaries
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