Analytical study of bending and free vibration responses of functionally graded beams resting on elastic foundation

被引：162
|
作者：
Chaabane, Lynda Amel [1 ]
Bourada, Fouad [2 ,3 ]
Sekkal, Mohamed [2 ]
Zerouati, Sara [1 ]
Zaoui, Fatima Zohra [4 ]
Tounsi, Abdeldjebbar [2 ]
Derras, Abdelhak [2 ]
Bousahla, Abdelmoumen Anis [5 ,6 ]
Tounsi, Abdelouahed [2 ,7 ]
机构：
[1] Univ Djillali Liabes Sidi Bel Abbes, Fac Technol, Dept Civil Engn, LGCE, Sidi Bel Abbes, Algeria
[2] Univ Djillali Liabes Sidi Bel Abbes, Dept Civil Engn, Fac Technol, Mat & Hydrol Lab, Sidi Bel Abbes, Algeria
[3] Ctr Univ Tissemsilt, Dept Sci & Technol, BP 38004, Ben Hamouda, Algeria
[4] Univ Abdelhamid Ibn Badis Mostaganem, Dept Genie Mecan, Fac Sci & Technol, Lab Modelisat Numer & Expt Phenomenes Mecan, Mostaganem 27000, Algeria
[5] Univ Djillali Liabes Sidi Bel Abbes, Dept Phys, Fac Sci Exactes, Lab Modelisat & Simulat Multiechelle, Sidi Bel Abbes, Algeria
[6] Ctr Univ Ahmed Zabana Relizane, Relizane, Algeria
[7] King Fahd Univ Petr & Minerals, Civil & Environm Engn Dept, Dhahran, Saudi Arabia
来源：
STRUCTURAL ENGINEERING AND MECHANICS | 2019年 / 71卷 / 02期
关键词：
functionally graded beam; bending; stress; natural frequency; shear deformation theory; Winkler-Pasternak foundation parameters; SHEAR DEFORMATION-THEORY; REFINED PLATE-THEORY; THERMAL BUCKLING ANALYSIS; HIGHER-ORDER SHEAR; NEUTRAL SURFACE POSITION; VISCOELASTIC CYLINDRICAL-SHELL; FGM SANDWICH PLATES; WAVE-PROPAGATION; RECTANGULAR-PLATES; DIFFERENTIAL CUBATURE;
D O I：
10.12989/sem.2019.71.2.185
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
In this investigation, study of the static and dynamic behaviors of functionally graded beams (FGB) is presented using a hyperbolic shear deformation theory (HySDT). The simply supported FG-beam is resting on the elastic foundation (Winkler-Pasternak types). The properties of the FG-beam vary according to exponential (E-FGB) and power-law (P-FGB) distributions. The governing equations are determined via Hamilton's principle and solved by using Navier's method. To show the accuracy of this model (HySDT), the current results are compared with those available in the literature. Also, various numerical results are discussed to show the influence of the variation of the volume fraction of the materials, the power index, the slenderness ratio and the effect of Winkler spring constant on the fundamental frequency, center deflection, normal and shear stress of FG-beam.
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页码：185 / 196
页数：12
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