FREE VIBRATION ANALYSIS OF MINDLIN PLATES WITH UNIFORM ELASTIC EDGE SUPPORT BY THE SUPERPOSITION METHOD
β Scribed by D.J. Gorman
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 218 KB
- Volume
- 207
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
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 stiffness into the analysis. Solutions are based on the Mindlin thick plate theory. Convergence is rapid and eigenvalue curves are plotted for square plates and plates of aspect ratio 1β’5, for various lateral and rotational spring stiffnesses. Digital results are tabulated in order that other analysts will have reliable data against which their findings may be compared.
π SIMILAR VOLUMES
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 moment
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
The triangular di!erential quadrature method is applied to the free #exural vibration of isosceles triangular Mindlin plates. The "rst six frequencies are sought and the convergence of triangular di!erential quadrature method in vibrational analysis of triangular Mindlin plates is examined. In compa
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,