| Autor: |
Belounar, Abderahim, Boussem, Faiçal, Tati, Abdelouahab |
| Zdroj: |
Journal of Vibration Engineering & Technologies; January 2023, Vol. 11 Issue: 1 p281-300, 20p |
| Abstrakt: |
Purpose: This paper is devoted to the development of a novel four-node quadrilateral finite element for mechanical buckling and free vibration responses of functionally graded material plates. Methods: This element which possesses five essential degrees of freedom per node is formulated within the framework of the strain approach and the first-order shear deformation theory. The element displacement functions contain higher-order terms that satisfy the rigid body modes and they are based on assumed strains satisfying compatibility equations. Material properties of the plate are assumed to be graded across the thickness direction using a simple power-law distribution of the volume fractions constituents. The concept of the neutral plane is introduced to avoid the membrane-bending coupling. Results: The performance of the suggested element is evaluated through various numerical tests and the obtained results are compared with available solutions from the literature. These tests are conducted on functionally graded plates with various shapes, boundary conditions, side-to-thickness ratios, several values of gradient index n and under different types of in-plane loading. Conclusion: The present element results have proved excellent accuracy and efficiency in predicting free vibration and buckling of functionally graded plates and they show that this element is free from any shear locking. |
| Databáze: |
Supplemental Index |
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