VIBRATION ANALYSIS OF RECTANGULAR ISOTROPIC THICK PLATES USING MINDLIN PLATE CHARACTERISTIC FUNCTIONS
β Scribed by J.M. Lee; K.C. Kim
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 461 KB
- Volume
- 187
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
An iterative Kantorovich method is presented for the vibration analysis of rectangular isotropic thick plates. Mindlin plate characteristic functions are derived in general forms by the Kantorovich method initially starting with Timoshenko beam functions consistent with the boundaryconditionsoftheplate.Throughnumericalcalculationsofnaturalpairsanddynamic responses of appropriate models, it has been confirmed that the method presented is superior to the Rayleigh-Ritz analysis or the FEM analysis in accuracy and computational efficiency.
π SIMILAR VOLUMES
An approximate method for analyzing the free vibration of thin and moderately thick rectangular plates with arbitrary variable thickness is proposed. The approximate method is based on the Green function of a rectangular plate. The Green function of a rectangular plate with arbitrary variable thickn
For the first time to the authors' knowledge, the problem of free vibration of a moderately thick rectangular plate with edges elastically restrained against transverse and rotational displacements is considered. The Ritz method combined with a variational formulation and Mindlin plate theory is use
The plate characteristic functions are used to express the deflection shapes in the Rayleigh-Ritz method to study rectangular plate vibrations. Since the plate characteristic functions are reasonable approximations to the vibration modes, they are found to improve the convergence of vibration freque