MODELING AND ANALYSIS OF ISOTROPIC AND ANISOTROPIC TIEMOSHENKO BEAMS USING FINITE ELEMENT TECHNIQUE
Ajala, M., Elshafei, M., Riad, A. (2010). MODELING AND ANALYSIS OF ISOTROPIC AND ANISOTROPIC TIEMOSHENKO BEAMS USING FINITE ELEMENT TECHNIQUE. EKB Journal Management System, 14(14th International Conference on Applied Mechanics and Mechanical Engineering.), 1-28. doi: 10.21608/amme.2010.37612
M. R. Ajala; M. Adnan Elshafei; A. M. Riad. "MODELING AND ANALYSIS OF ISOTROPIC AND ANISOTROPIC TIEMOSHENKO BEAMS USING FINITE ELEMENT TECHNIQUE". EKB Journal Management System, 14, 14th International Conference on Applied Mechanics and Mechanical Engineering., 2010, 1-28. doi: 10.21608/amme.2010.37612
Ajala, M., Elshafei, M., Riad, A. (2010). 'MODELING AND ANALYSIS OF ISOTROPIC AND ANISOTROPIC TIEMOSHENKO BEAMS USING FINITE ELEMENT TECHNIQUE', EKB Journal Management System, 14(14th International Conference on Applied Mechanics and Mechanical Engineering.), pp. 1-28. doi: 10.21608/amme.2010.37612
Ajala, M., Elshafei, M., Riad, A. MODELING AND ANALYSIS OF ISOTROPIC AND ANISOTROPIC TIEMOSHENKO BEAMS USING FINITE ELEMENT TECHNIQUE. EKB Journal Management System, 2010; 14(14th International Conference on Applied Mechanics and Mechanical Engineering.): 1-28. doi: 10.21608/amme.2010.37612

MODELING AND ANALYSIS OF ISOTROPIC AND ANISOTROPIC TIEMOSHENKO BEAMS USING FINITE ELEMENT TECHNIQUE

The International Conference on Applied Mechanics and Mechanical Engineering
Article 23, Volume 14, 14th International Conference on Applied Mechanics and Mechanical Engineering., May 2010, Page 1-28  XML PDF (562.57 K)
Document Type: Original Article
DOI: 10.21608/amme.2010.37612
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Authors
M. R. Ajala1; M. Adnan Elshafei2; A. M. Riad2
1Libyan Armed Forces.
2Egyptian Armed Forces.
Abstract
ABSTRACT
In this paper, a finite element model has been proposed to analysis the response of isotropic and anisotropic beams subjected to different mechanical loads. The assumed field displacements of the beam are represented by simple first order deformation theory, the Timoshenko beam theory. The equation of motion is derived using the principle of virtual work. A hermit cubic shape function is used to represent the axial displacement u, the transverse displacement wis represented by a quadratic shape function, whereas the normal rotation x is represented by a linear shape function. The shear correction factor is used to improve the obtained results. A MATLAB code is constructed to compute the natural frequency, the static deformations, and the stresses on the structure due to the applied loads at different boundary conditions. The obtained results of the proposed model are compared to the available results of other investigators, good agreement is generally obtained.
Keywords
Finite element methods – Timoshenko beam theory – composite materials mechanics – solid mechanics
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