Finite element model for vibration and buckling of functionally graded beams based on the first-order shear deformation theory. (15th January 2017)

• Record Type: Journal Article
• Authors: Kahya, Volkan; Turan, Muhittin
• Is Part Of: Composites. Volume 109(2017)
• Page Start: 108
• Page End: 115
• Publication Date: 2017-01-15
• Subjects: Functionally graded materials -- Finite element method -- Free vibration -- Buckling -- First-order shear deformation theory; Composite materials -- Periodicals; Materials science -- Periodicals; Composite materials; Periodicals; Electronic journals; 620.118
• DOI: 10.1016/j.compositesb.2016.10.039
• Languages: English
• ISSNs: 1359-8368

Abstract

Abstract: This paper presents a finite element model based on the first-order shear deformation theory for free vibration and buckling of functionally graded beams. The present element has five nodes and ten degrees-of-freedom. Material properties vary continuously through the beam thickness according to the power-law form. Governing equations are derived with the aid of Lagrange's equations. Natural frequencies and buckling loads are calculated numerically for different end conditions, power-law indices, and span-to-depth ratios. Accuracy of the present element is demonstrated by comparisons with the available results.