An efficient shear deformation theory for vibration of functionally graded plates
- Title
- An efficient shear deformation theory for vibration of functionally graded plates
- Author
- 박대효
- Keywords
- Navier solution; Plate theory; Vibration; Functionally graded plates
- Issue Date
- 2013-01
- Publisher
- Springer Science + Business Media
- Citation
- Archive of Applied Mechanics, Jan 2013, Vol. 83 Issue 1, p137-149. 13p.
- Abstract
- This paper presents an efficient shear deformation theory for vibration of functionally graded plates. The theory accounts for parabolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factors. The mechanical properties of functionally graded plate are assumed to vary according to a power law distribution of the volume fraction of the constituents. Equations of motion are derived from the Hamilton’s principle. Analytical solutions of natural frequency are obtained for simply supported plates. The accuracy of the present solutions is verified by comparing the obtained results with those predicted by classical theory, first-order shear deformation theory, and higher-order shear deformation theory. It can be concluded that the present theory is not only accurate but also simple in predicting the natural frequencies of functionally graded plates.
- URI
- https://link.springer.com/article/10.1007/s00419-012-0642-4https://repository.hanyang.ac.kr/handle/20.500.11754/69771
- ISSN
- 0939-1533
- DOI
- 10.1007/s00419-012-0642-4
- Appears in Collections:
- COLLEGE OF ENGINEERING[S](공과대학) > CIVIL AND ENVIRONMENTAL ENGINEERING(건설환경공학과) > Articles
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