Vibration and stability analysis of functionally graded sandwich beams by a multi-layer finite element

KAHYA V., Turan M.

COMPOSITES PART B-ENGINEERING, vol.146, pp.198-212, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 146
  • Publication Date: 2018
  • Doi Number: 10.1016/j.compositesb.2018.04.011
  • Journal Name: COMPOSITES PART B-ENGINEERING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.198-212
  • Keywords: Functionally graded material, Finite element method, Free vibration, Buckling, First-order shear deformation theory, SHEAR DEFORMATION-THEORY, HIGHER-ORDER SHEAR, LAMINATED COMPOSITE BEAMS, FUNDAMENTAL-FREQUENCY ANALYSIS, EULER-BERNOULLI BEAMS, DYNAMIC-ANALYSIS, BUCKLING ANALYSIS, TIMOSHENKO BEAMS, 3RD-ORDER THEORY, STATIC ANALYSIS
  • 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 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.