A hybrid/mixed model finite element analysis for eigenvalue problems for moderately thick plates

DOI10.1007/BF02017985zbMath0623.73086OpenAlexW2324542632MaRDI QIDQ1091853

Yuanyao Qian

Publication date: 1987

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02017985

zbMATH Keywords

stiffness matrixReissner principlesymmetricpositive definitemoderately thick plateLinear interpolationC(sup 0)-continuitydisplacement generalized eigenvalue equationfree vibration problemshybrid/mixed finite element model

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60)

Cites Work

• Finite element analysis of axisymmetric elastic body problems
• A comparison of lagrangian and serendipity mindlin plate elements for free vibration analysis
• Finite Elements Based Upon Mindlin Plate Theory With Particular Reference to the Four-Node Bilinear Isoparametric Element
• A hybrid/mixed model finite element analysis for buckling of moderately thick plates
• A finite element method for the free vibration of plates allowing for transverse shear deformation
• Stability and vibration of thin rectangular plates by simplified mixed finite elements
• An equilibrium finite element model for buckling analysis of plates
• Buckling of thick rectangular plates.

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