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
Accurate Free Vibration Analysis of the Completely Free Orthotropic Rectangular Plate by the Method of Superposition
β Scribed by D.J. Gorman
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 313 KB
- Volume
- 165
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
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, for a wide range of plate aspect ratios. While it is recognized that data covering the entire range of possible problems cannot be tabulated, it is hoped that the data provided will prove useful to some designers and provide a reference for other researchers to compare their results. This appears to be the first study devoted to this problem to appear in the literature.
π SIMILAR VOLUMES
Utilizing the superposition method, an accurate analytical type solution is described for resolving the problem of free vibration of cantilever plates with rectangular orthotropy. A number of verification checks performed to verify the mathematical procedure are described. Convergence is found to be
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
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