Finite element model for vibration and buckling of functionally graded beams based on the first-order shear deformation theory

KAHYA V., TURAN M.

COMPOSITES PART B-ENGINEERING, vol.109, pp.108-115, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 109
  • Publication Date: 2017
  • Doi Number: 10.1016/j.compositesb.2016.10.039
  • Journal Name: COMPOSITES PART B-ENGINEERING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.108-115
  • Keywords: Functionally graded materials, Finite element method, Free vibration, Buckling, First-order shear deformation theory, EULER-BERNOULLI BEAMS, MOVING HARMONIC LOAD, SANDWICH BEAMS, TIMOSHENKO NANOBEAMS, LAMINATED COMPOSITE
  • Karadeniz Technical University Affiliated: Yes

Abstract

This paper presents a finite element model based on the first-order shear deformation theory for free vibration and budding 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. (C) 2016 Elsevier Ltd. All rights reserved.