Geometrically nonlinear analysis of axially functionally graded beams by using finite element method

Document Type: Research Paper

Author

Department of Civil Engineering, Bursa Technical University, Bursa, Turkey

Abstract

The aim of this paper is to investigate geometrically nonlinear static analysis of axially functionally graded cantilever beam subjected to transversal non follower load. The considered problem is solved by finite element method with total Lagrangian kinematic approach. The material properties of the beam vary along the longitudinal direction according to the power law function. The finite element model of the beam is considered in the three dimensional continuum approximation for an eight-node quadratic element. The geometrically nonlinear problem is solved by Newton-Raphson iteration method. In the numerical results, the effects of the material distribution on the geometrically nonlinear static displacements of the axially functionally graded beam are investigated. Also, the differences between of material distributions are investigated in geometrically analysis.

Keywords

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Volume 51, Issue 2
December 2020
Pages 411-416
  • Receive Date: 28 August 2020
  • Revise Date: 02 September 2020
  • Accept Date: 03 September 2020