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 POINT SUPPORTED MINDLIN PLATES BY THE SUPERPOSITION METHOD
β Scribed by D.J. Gorman
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 204 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0022-460X
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π SIMILAR VOLUMES
The method of superposition is exploited to obtain highly accurate analytical type solutions for the free vibration of completely free orthotropic rectangular plates. Eigenvalues for 12 modes are provided for a particular set of problems, representative of reinforced concrete and similar materials,
The superposition-Galerkin method for analyzing the free vibration of thin isotropic and orthotropic plates as well as transverse-shear deformable plates was introduced in recent years. It has an advantage over the traditional superposition method in that it gives equally accurate results but requir
It is known that exploitation of the traditional superposition method for analyzing plate free vibration problems becomes a very demanding and difficult task when one moves from thin isotropic plate theroy to the thick plate Mindlin theory, and to the analysis of laminated plates. Difficulties arise