Kahya V.Turan M.20.04.20192019-04-2020.04.20192019-04-2020181359-8368https://dx.doi.org/10.1016/j.compositesb.2018.04.011https://hdl.handle.net/20.500.12403/362This paper presents a finite element model based on the first-order shear deformation theory for free vibration and buckling analyses of functionally graded (FG) sandwich beams. The present element has 3 N + 7 degrees-of-freedom for an N-layer beam. Lagrange's equations are employed for derivation of the equations of motion. Two types of FG sandwich beams are considered: (a) Type A with FG faces and homogeneous ceramic core, and (b) Type B with homogeneous ceramic and metal faces and FG core. Natural frequencies and buckling loads are calculated numerically for different boundary conditions, power-law indices, and span-to-height ratios. Accuracy of the present element is demonstrated by comparisons with the results available, and discussions are made on the results given in graphs and tables for the sandwich beams considered. © 2018 Elsevier Ltdeninfo:eu-repo/semantics/closedAccessBucklingFinite element methodFirst-order shear deformation theoryFree vibrationFunctionally graded materialBucklingCeramic materialsComposite beams and girdersDegrees of freedom (mechanics)Equations of motionFunctionally graded materialsPlates (structural components)Sandwich structuresShear deformationVibration analysisBuckling analysisDifferent boundary conditionFirst-order shear deformation theoryFree vibrationFunctionally gradedHomogeneous ceramicsLagrange's equationStability analysisFinite element methodBucklingFinite element methodFirst-order shear deformation theoryFree vibrationFunctionally graded materialBucklingCeramic materialsComposite beams and girdersDegrees of freedom (mechanics)Equations of motionFunctionally graded materialsPlates (structural components)Sandwich structuresShear deformationVibration analysisBuckling analysisDifferent boundary conditionFirst-order shear deformation theoryFree vibrationFunctionally gradedHomogeneous ceramicsLagrange's equationStability analysisFinite element methodVibration and stability analysis of functionally graded sandwich beams by a multi-layer finite elementArticle14619821210.1016/j.compositesb.2018.04.0112-s2.0-85045678213Q1WOS:000436224500021Q1