Dynamic investigation of porous functionally graded beam using a sinusoidal shear deformation theory

被引:170
作者
Bourada, Fouad [1 ]
Bousahla, Abdelmoumen Anis [2 ,3 ]
Bourada, Mohamed [4 ]
Azzaz, Abdelghani [4 ]
Zinata, Amina [4 ]
Tounsi, Abdelouahed [4 ,5 ]
机构
[1] Ctr Univ Ain Temouchent, Dept Genie Civil, Inst Technol, Ain Temouchent, Algeria
[2] Univ Djillali Liabes Sidi Bel Abbes, Lab Modelisat & Simulat Multiechelle, Dept Phys, Fac Sci Exactes, Sidi Bel Abbes, Algeria
[3] Ctr Univ Ahmed Zabana Relizane, Relizane, Algeria
[4] Univ Djillali Liabes Sidi Bel Abbes, Fac Technol, Civil Engn Dept, Mat & Hydrol Lab, Sidi Bel Abbes, Algeria
[5] King Fand Univ Petr & Minerals, Dept Civil & Environm Engn, Dhahran 31261, Eastern Provinc, Saudi Arabia
关键词
porous FG beams; trigonometric deformation theory; free vibration; porosity; FREE-VIBRATION ANALYSIS; HIGHER-ORDER SHEAR; THERMAL BUCKLING ANALYSIS; REFINED PLATE-THEORY; NEUTRAL SURFACE POSITION; CURVED SHELL PANEL; BENDING ANALYSIS; SANDWICH PLATES; WAVE-PROPAGATION; COMPOSITE PLATES;
D O I
10.12989/was.2019.28.1.019
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
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.
引用
收藏
页码:19 / 30
页数:12
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