This article present the free vibration analysis of simply supported perfect and imperfect (porous) FG beams using a high order trigonometric deformation theory. It is assumed that the material properties of the porous beam vary across the thickness. Unlike other theories, the number of unknown is only three. This theory has a parabolic shear deformation distribution across the thickness. So it is useless to use the shear correction factors. The Hamilton's principle will be used herein to determine the equations of motion. Since, the beams are simply supported the Navier's procedure will be retained. To show the precision of this model, several comparisons have been made between the present results and those of existing theories in the literature.
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King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi ArabiaKing Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
Al-Basyouni, K. S.
Tounsi, Abdelouahed
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Univ Djillali Liabes Sidi Bel Abbes, Mat & Hydrol Lab, Fac Technol, Dept Civil Engn, Sidi Bel Abbes, AlgeriaKing Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
Tounsi, Abdelouahed
Mahmoud, S. R.
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King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
Univ Sohag, Fac Sci, Dept Math, Sohag, EgyptKing Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
机构:
King Abdulaziz Univ, Fac Engn, Dept Mech Engn, POB 80204, Jeddah 21589, Saudi ArabiaKing Abdulaziz Univ, Fac Engn, Dept Mech Engn, POB 80204, Jeddah 21589, Saudi Arabia
机构:
King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi ArabiaKing Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
Al-Basyouni, K. S.
Tounsi, Abdelouahed
论文数: 0引用数: 0
h-index: 0
机构:
Univ Djillali Liabes Sidi Bel Abbes, Mat & Hydrol Lab, Fac Technol, Dept Civil Engn, Sidi Bel Abbes, AlgeriaKing Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
Tounsi, Abdelouahed
Mahmoud, S. R.
论文数: 0引用数: 0
h-index: 0
机构:
King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
Univ Sohag, Fac Sci, Dept Math, Sohag, EgyptKing Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
机构:
King Abdulaziz Univ, Fac Engn, Dept Mech Engn, POB 80204, Jeddah 21589, Saudi ArabiaKing Abdulaziz Univ, Fac Engn, Dept Mech Engn, POB 80204, Jeddah 21589, Saudi Arabia