Estimates of flexural vibration frequencies and modes of homogeneous rectangular plates are initially obtained by the dynamic edge effect method (Bolotin's asymptotic method). After separation of temporal and spatial variables all functions of the dynamic equations are represented by series expansio
Free vibration of FGM plates with in-plane material inhomogeneity
โ Scribed by D.Y. Liu; C.Y. Wang; W.Q. Chen
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 211 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0263-8223
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โฆ Synopsis
An analysis is presented for the free vibration of a functionally graded isotropic elastic rectangular plate with in-plane material inhomogeneity. A Levy-type solution is obtained for plates with a pair of simply supported edges that are parallel with the material gradient direction. A particular integration method is adopted to solve the fourth-order ordinary differential equation with non-constant coefficients. The efficiency and accuracy of the analysis are demonstrated through numerical examples.
๐ SIMILAR VOLUMES
The superposition method is employed to obtain buckling loads and free vibration frequencies for a family of elastically supported rectangular plates subjected to one-directional uniform in-plane loading. Two edges running in the direction of the in-plane loading are free. Lateral displacement is fo