FINITE ELEMENT ANALYSIS OF ISOTROPIC AND ANISOTROPIC BEAMS USING A SIMPLE HIGHER ORDER SHEAR DEFORMATION THEORY

Document Type : Original Article

Authors

1 Libyan Armed Forces.

2 Egyptian Armed Forces.

Abstract

ABSTRACT
In the present work, a finite element modeling and analysis is introduced for isotropic and anisotropic beams subjected to different mechanical loads. The assumed field displacements of the beam are represented by a simple higher order shear deformation theory made by Reddy [1]. The equation of motion is obtained using the principle of virtual work. A hermit cubic shape function is used to represent the transverse displacement wand its derivatives. The axial displacement u, and the normal rotation x are represented by a linear shape function. A MATLAB code is developed to compute the natural frequency, and the static deformations of the structure due to the applied loads of different boundary condition. The results of the proposed model are compared with the available results of other investigators; good agreement is generally obtained.

Keywords