An analytical solution for buckling and vibration analysis of functionally graded sandwich beams using a quasi-3D shear deformation theory
This paper presents a Ritz-type analytical solution for buckling and free vibration analysis of functionally graded (FG) sandwich beams with various boundary conditions using a quasi-3D beam theory. It accounts a hyperbolic distribution of both axial and transverse displacements. Equations of motion...
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| Veröffentlicht in: | Composite structures 2016-11, Vol.156, p.238-252 |
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| creator | Nguyen, Trung-Kien Vo, Thuc P. Nguyen, Ba-Duy Lee, Jaehong |
| description | This paper presents a Ritz-type analytical solution for buckling and free vibration analysis of functionally graded (FG) sandwich beams with various boundary conditions using a quasi-3D beam theory. It accounts a hyperbolic distribution of both axial and transverse displacements. Equations of motion are derived from Lagrange’s equations. Two types of FG sandwich beams namely FG-faces ceramic-core (type A) and FG-core homogeneous-faces (type B) are considered. Numerical results are compared with earlier works and investigated effects of the power-law index, thickness ratio of layers, span-to-depth ratio and boundary conditions on the critical buckling loads and natural frequencies. |
| doi_str_mv | 10.1016/j.compstruct.2015.11.074 |
| format | Article |
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| ispartof | Composite structures, 2016-11, Vol.156, p.238-252 |
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| language | eng |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | A quasi-3D theory Beams (structural) Boundary conditions Buckling Functionally graded sandwich beams Functionally gradient materials Mathematical analysis Mathematical models Sandwich structures Thickness ratio Vibration |
| title | An analytical solution for buckling and vibration analysis of functionally graded sandwich beams using a quasi-3D shear deformation theory |
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