Buckled plate vibrations and large amplitude vibrations using high-order triangular elements

DOI10.2514/3.8144zbMath0515.73068OpenAlexW1988230164MaRDI QIDQ3662742

No author found.

Publication date: 1983

Published in: AIAA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2514/3.8144

zbMATH Keywords

examplesgeometrically nonlinear problemsnonlinear stiffness matriceseffect of inplane boundary conditions significant as flexural boundary conditionshigh-order triangular membrane finite element combined with fully conforming triangular plate bending elementmembrane and flexural behaviors are coupledNewton Raphson iteration procedureno bias against one anothersame quintic orderthree orthogonal displacement components represented by two-dimensional polynomialtotal of 54 degrees of freedomvarious flexural and inplane boundary conditions

Mathematics Subject Classification ID

Newton-type methods (49M15) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60) Numerical and other methods in solid mechanics (74S99)

Related Items (4)

Large amplitude vibration of thermo-electro-mechanically stressed FGM laminated plates. ⋮ A boundary integral equation formulation for large amplitude nonlinear vibration of thin elastic plates ⋮ Improved Secant Matrices for the Postbuckling Analysis of Thin Composite Plates ⋮ COMPARISON OF VIBRATION CHARACTERISTICS FOR POSTBUCKLED FGM PLATES WITH PIEZOELECTRIC FIBER REINFORCED COMPOSITE ACTUATORS

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