SECOND-ORDER ASYMPTOTIC APPROXIMATION OF FLEXURAL VIBRATIONS IN ELASTIC RODS

DOI10.1142/S0218202598000639zbMath0938.74033OpenAlexW1975837786MaRDI QIDQ4270550

Irago, H., Juan M. Viaño

Publication date: 22 November 1999

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202598000639

zbMATH Keywords

convergenceasymptotic methodsmall parametereigenvalueseigenfunctionsspectral problemtorsion effectlinearized elastic rodTimoshenko effect

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Estimates of eigenvalues in context of PDEs (35P15)

Related Items (4)

Asymptotic behavior of eigenfrequencies of a thin elastic rod with non-uniform cross-Section ⋮ One-dimensional approximations of the eigenvalue problem of curved rods ⋮ Asymptotic analysis of steady and nonsteady Navier-Stokes equations for barotropic compressible flow ⋮ Asymptotic behavior of the eigenfrequencies of a thin elastic rod with non-uniform cross-section of extremely oblate shape

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