Damped response of thin plates to step loads including geometric nonlinearity

DOI10.1007/BF00536226zbMath0631.73071OpenAlexW41130206MaRDI QIDQ3768507

No author found.

Publication date: 1988

Published in: Ingenieur-Archiv (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00536226

zbMATH Keywords

Galerkin's methodrectangular platesstress functiontransverse deflectionclampedmovableNewmark-beta schemesecond order nonlinear ordinary differential equationimmovable inplane conditionscentral deflectiongeometrically nonlinear responseaverage acceleration methodstep loadslarge deflection damped responseone- term spatial shape functionSimply-supportedthin isotropic circularVon Kármán-type equations

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Cites Work

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• Large amplitude vibration of orthotropic elliptical plates
• Non-linear dynamic response of circular plates subjected to transient loads
• Influence of Large Amplitudes on Flexural Vibrations of Elastic Plates
• Non-linear dynamic response of rectangular plates subjected to transient loads

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