FINITE ELEMENT ANALYSIS OF ISOTROPIC AND ANISOTROPIC BEAMS USING A SIMPLE HIGHER ORDER SHEAR DEFORMATION THEORY | ||||
| The International Conference on Applied Mechanics and Mechanical Engineering | ||||
| Article 22, Volume 14, 14th International Conference on Applied Mechanics and Mechanical Engineering., May 2010, Page 1-28 PDF (565.93 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/amme.2010.37606 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| F. M. Alraiess1; M. Adnan Elshafei2; S. S. Kossa2 | ||||
| 1Libyan Armed Forces. | ||||
| 2Egyptian 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 | ||||
| Finite element method – Reddy's Theory; higher order shear deformation theory – mechanics of composite materials – solid mechanics | ||||
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