Nonlinear dynamic response of isotropic thin rectangular plates on elastic foundations

DOI10.1007/BF01173950zbMath0631.73051MaRDI QIDQ1094919

P. C. Dumir

Publication date: 1988

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

Galerkin methodstress functiontransverse deflectionPasternaksimply supported platesClosed form solutionsClampedisotropic thin rectangular plateslarge deflection dynamic responsemovable and immovable inplane conditionsnonlinear free vibration responsenonlinear Winkler foundationssinusoidal pulse loadVon Kármán type governing equationsWinkler

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Theories of friction (tribology) (74A55)

Related Items (5)

Free vibration analysis of variable thickness thin plates by two-dimensional differential transform method ⋮ Geometrically nonlinear rectangular simply supported plates subjected to a moving mass ⋮ Nonlinear analysis of thin rectangular plates on Winkler-Pasternak elastic foundations by DSC-HDQ methods ⋮ On the simple and mixed first-order theories for plates resting on elastic foundations ⋮ Elastic and viscoelastic foundations: a review on linear and nonlinear vibration modeling and applications

Cites Work

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• Large amplitude vibration of orthotropic elliptical plates
• Large amplitude free vibrations of irregular plates placed on an elastic foundation
• Solution of some boundary value problems in applied mechanics by the collocation least square method
• Influence of Large Amplitudes on Flexural Vibrations of Elastic Plates
• Nonlinear dynamic response of rectangular plates on linear elastic foundation

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