Acoustic scattering by a finite nonlinear elastic plate. I Primary, secondary and combination resonances

DOI10.1098/RSPA.1987.0142zbMath0626.73018OpenAlexW2034737319MaRDI QIDQ3030314

I. David Abrahams

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1098/rspa.1987.0142

zbMATH Keywords

method of multiple scalesresonant casesthin elastic platejump phenomenontime-harmonic acoustic wavesfinite widthacoustic far-field radiation patterneffects of plate nonlinearitiesfree oscillation frequencyirradiatedlight fluid loading limitMultivalued solutionsorder-one scattered fieldrigid bafflesecondary and combination resonances

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Hydro- and aero-acoustics (76Q05)

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A nonlinear model of the dynamics of a large elastic plate with heavy fluid loading ⋮ Nonlinear vibration analysis of an elastic plate subjected to heavy fluid loading in magnetic field ⋮ Comments on ``Approximate solution for acoustic scattering by a nonlinear composite beam ⋮ On transient oscillations of plates in moving fluids. ⋮ Approximate solution for acoustic scattering by a nonlinear composite beam

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