Free vibration of a circular plate elastically restrained along some radial segments

DOI10.1016/0022-460X(83)90538-2zbMath0529.73054OpenAlexW2028563020MaRDI QIDQ3311795

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Publication date: 1983

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-460x(83)90538-2

zbMATH Keywords

eigenvaluesmode shapesnatural frequencieseigenvectorscircular plateGreen functionfree vibrationstationary responsecalculated numericallyeffect of supportsforce distributions along segments expanded into Fourier series with unknown coefficientshomogeneous equations for coefficientsreaction forces acting on segments regarded as unknown harmonic loadsrestrained against deflection along radial segmentsrestraint conditions on supportssupported along several radial segments located at equal angular intervals

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

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