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    Free vibration and buckling analysis of functionally graded sandwich beams by Navier's method
    (Gazi Univ, Fac Engineering Architecture, 2021) Turan, Muhittin; Kahya, Volkan
    In this study, free vibration and buckling analyses of functionally graded (FGM) sandwich beams is investigated by Navier's method. Displacement field is defined according to the first order shear deformation theory, and the equations of motion are derived by the Lagrange's principle. Volumetric ceramic ratio is defined by a power-law rule. In the analytical solution, different trigonometric series functions are used for each end conditions considered. Two cases of functionally graded sandwich beams are considered: a) Homogeneous ceramic core and FGM faces (Type A), and b) FGM core and homogeneous faces (Type B). Natural frequencies and buckling loads are obtained for different boundary conditions, power-law indices and slenderness. Numerical results are compared with the available literature, and a good agreement are obtained between the results.
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    Use of trigonometric series functions in free vibration analysis of laminated composite beams
    (2020) Turan, Muhittin; Kahya, Volkan
    In this study, free vibration analysis of layered composite beams is performed by using an analytical method based on trigonometric series. Based on the first-ordershear deformation beam theory, the governing equations are derived from the Lagrange’s equations. Appropriate trigonometric series functions are selected to satisfythe end conditions of the beam. Navier-type solution is used to obtain natural frequencies. Natural frequencies are calculated for different end conditions and laminastacking. It was seen that the slenderness, E11/E22 and fiber angle have a significanteffect on natural frequency. The results of the study are quite compatible with theliterature.