Frequency of Functionally Graded Plates with Three-Dimensional Asymptotic Approach
84 citations recorded by the source corpus.
The harmonic vibration problem of functionally graded plates is studied by means of a three-dimensional asymptotic theory formulated in terms of transfer matrix. Instead of using multiple time scales expansion, the frequency is determined in a much simpler way that renders the asymptotic method to be practically validated for finding any higher-order solutions. This is illustrated by applying the refined formulation to a functionally graded rectangular plate with simply supported edges. The locally effective material properties are estimated by the Mori–Tanaka scheme. Accurate natural frequencies associated with flexural, extensional, and thickness-stretching modes are provided.
Subfields: Biomedical Engineering, Control and Systems Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/b2201a78b63c0970c28eafebabaf6d6bf103faa0
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In Biomedical Engineering
In Control and Systems Engineering
In Mechanics of Materials
- Shahrokh Hosseini-Hashemi
- Meisam Omidi
- Hamed Akhavan
- H. Taher
- Huu-Tai Thai
- M. Fadaee
- Farzad Ebrahimi
- Mohammad Reza Barati
Citations in the corpus
- Free vibration of functionally graded rectangular plates using first-order shear deformation plate theory (2010, methodology): “Early research efforts for harmonic vibration analysis of an FG simply-supported rectangular plate, using a 3D asymptotic theory, date back to the work of Reddy and Cheng [4].”
- Static response and free vibration analysis of FGM plates using higher order shear deformation theory (2010, unknown): “Reddy and Cheng [12] studied the harmonic vibration problem of FGM plates by means of a three-dimensional asymptotic approach, and the formulation is based in terms of transfer matrix.”