A simple quasi-3D HSDT for the dynamics analysis of FG thick plate on elastic foundation

被引：128

作者：

Boukhlif, Zoulikha ^{[1
]}

Bouremana, Mohammed ^{[1
]}

Bourada, Fouad ^{[2
,3
]}

Bousahla, Abdelmoumen Anis ^{[4
,5
]}

Bourada, Mohamed ^{[2
]}

Tounsi, Abdelouahed ^{[2
,6
]}

Al-Osta, Mohammed A. ^{[6
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Fac Technol, Dept Genie Civil, Lab Struct & Mat Avances Genie Civil & Travaux Pu, Sidi Bel Abbes, Algeria

[2] Univ Djillali Liabes Sidi Bel Abbes, Mat & Hydrol Lab, Fac Technol, Civil Engn Dept, Sidi Bel Abbes, Algeria

[3] Ctr Univ Tissemsilt, Dept Sci & Technol, BP 38004, Ben Hamouda, Algeria

[4] Univ Djillali Liabes Sidi Bel Abbes, Fac Sci Exactes, Dept Phys, Lab Modelisat & Simulat Multiechelle, Sidi Bel Abbes, Algeria

[5] Ctr Univ Ahmed Zabana Relizane, Relizane, Algeria

[6] King Fahd Univ Petr & Minerals, Dept Civil & Environm Engn, Dhahran 31261, Eastern Provinc, Saudi Arabia

来源：

STEEL AND COMPOSITE STRUCTURES | 2019年 / 31卷 / 05期

关键词：

vibration; FG plate; Quasi-3D HSDT; SHEAR DEFORMATION-THEORY; FREE-VIBRATION ANALYSIS; HIGHER-ORDER SHEAR; FUNCTIONALLY GRADED PLATES; THERMAL BUCKLING ANALYSIS; DIFFERENT MATERIAL DISTRIBUTIONS; 3-DIMENSIONAL EXACT SOLUTION; RECTANGULAR-PLATES; WAVE-PROPAGATION; SANDWICH PLATES;

D O I：

10.12989/scs.2019.31.5.503

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

This work presents a dynamic investigation of functionally graded (FG) plates resting on elastic foundation using a simple quasi-3D higher shear deformation theory (quasi-3D HSDT) in which the stretching effect is considered. The culmination of this theory is that in addition to taking into account the effect of thickness extension (epsilon(z) not equal 0), the kinematic is defined with only 4 unknowns, which is even lower than the first order shear deformation theory (FSDT). The elastic foundation is included in the formulation using the Pasternak mathematical model. The governing equations are deduced through the Hamilton's principle. These equations are then solved via closed-type solutions of the Navier type. The fundamental frequencies are predicted by solving the eigenvalue problem. The degree of accuracy of present solutions can be shown by comparing it to the 3D solution and other closed-form solutions available in the literature.

引用

页码：503 / 516

页数：14

共 143 条

[1] An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions [J].