Free vibrations of a simply supported, rectangular plate: An exact elasticity solution

DOI10.1016/0022-460X(85)90392-XzbMath0558.73052OpenAlexW2053261591MaRDI QIDQ3347408

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Publication date: 1985

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-460x(85)90392-x

zbMATH Keywords

numerical resultsfree vibrationsarbitrary thicknesssemi-inverse solutionlinear theory of elastodynamicsexact, three-dimensional solutionsimply supported, rectangular platestwo types of modes of oscillation

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

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On the whole spectrum of Timoshenko beams. I: A theoretical revisitation ⋮ A new locking-free finite element method based on more consistent version of Mindlin plate equation ⋮ Determining the natural frequencies of an elastic parallelepiped by the advanced Kantorovich-Vlasov method ⋮ Application of the spline prism method to analyse vibration of thick rectangular plates with two opposite edges simply supported ⋮ On the harmonic response of plates with the shear deformation effect using the elastodynamic solution in the boundary element method ⋮ Transversely isotropic beam under initial stress ⋮ On edge effects for the semi-infinite plate ⋮ A new class of interdependent shape polynomials for the FE dynamic analysis of Mindlin plate Timoshenko beam ⋮ Reformulation of Navier equations for solving three-dimensional elasticity problems with applications to thick plate analysis

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