Utilizing the superposition method, a solution is obtained for the free vibration eigenvalues of Mindlin plates resting on uniform lateral elastic edge support. Subsequently, it is shown how minor modifications to the eigenvalue matrix permit the incorporation of the additional effects of rotational
ACCURATE FREE VIBRATION ANALYSIS OF SHEAR-DEFORMABLE PLATES WITH TORSIONAL ELASTIC EDGE SUPPORT
โ Scribed by D.J. Gorman
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 173 KB
- Volume
- 203
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
The modified Superposition-Galerkin method is utilized to solve the free-vibration problem of shear deformable plates resting on uniform elastic foundations. Lateral displacement of the plate is forbidden at the boundaries. Due to elasticity in the support, edge rotation is opposed by bending moments proportional to the degree of rotation.
Results of a study conducted on thick Mindlin plates are presented. The analytical procedure is found to be much more efficient than that involved in the traditional superposition method and good convergence is encountered.
๐ SIMILAR VOLUMES
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