Nonlinear resonance of rectangular plates

DOI10.1098/RSPA.2000.0716zbMath1002.74042OpenAlexW2067609832MaRDI QIDQ2748108

Berk Geveci, J. D. A. Walker

Publication date: 14 October 2001

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2000.0716

zbMATH Keywords

asymptotic analysisspectral methodthin rectangular platenonlinear resonancefirst linear resonance frequencymodulated high-frequency vibrationnonlinear flow-induced oscillations

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) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Plates (74K20) Spectral and related methods applied to problems in solid mechanics (74S25)

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