Application of the collocation method to vibration analysis of rectangular mindlin plates

DOI10.1016/0045-7949(84)90062-2zbMath0524.73087OpenAlexW1988268834MaRDI QIDQ3036876

Jin Yoshimura, Takashi Mikami

Publication date: 1984

Published in: Computers & Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7949(84)90062-2

zbMATH Keywords

collocation methodfrequenciesrectangular Mindlin plateslinearly varying thicknesscomparison with results for plates with uniform thickness and two opposite edges simply supportedestimates for higher modesflexural vibration analysisgood results with small number of collocation points

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

Related Items (10)

Vibration analysis of moderate-thick plates with slowly varying thickness ⋮ Free vibration of tapered Mindlin plates using basic displacement functions ⋮ A simple and accurate Ritz formulation for free vibration of thick rectangular and skew plates with general boundary conditions ⋮ Exact solutions for free flexural vibration of Lévy-type rectangular thick plates via third-order shear deformation plate theory ⋮ Solving Fuzzy Static Structural Problems Using Symmetric Group Method ⋮ Vibration analysis of mechanical structures with a new formulation of the isogeometric collocation method ⋮ Modified mixed Ritz-DQ formulation for free vibration of thick rectangular and skew plates with general boundary conditions ⋮ Analytical solutions of refined plate theory for bending, buckling and vibration analyses of thick plates ⋮ A dynamic formulation for the analysis of thick elastic plates by the boundary element method ⋮ Free and forced vibrations of plates by boundary elements

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