The effect of parameters of visco-Pasternak foundation on the bending and vibration properties of a thick FG plate

被引：133

作者：

Boulefrakh, Laid ^{[1
]}

Hebali, Habib ^{[1
,2
]}

Chikh, Abdelbaki ^{[1
,2
]}

Bousahla, Abdelmoumen Anis ^{[3
,4
]}

Tounsi, Abdelouahed ^{[1
,5
]}

Mahmoud, S. R. ^{[6
]}

机构：

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

[2] Ibn Khaldoun Univ, BP 78 Zaaroura, Tiaret 14000, Algeria

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

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

[5] King Fahd Univ Petr & Minerals, Civil & Environm Engn Dept, Dhahran, Saudi Arabia

[6] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia

来源：

GEOMECHANICS AND ENGINEERING | 2019年 / 18卷 / 02期

关键词：

vibration; bending; FGM; plate; visco-pasternak foundations; quasi-3D HSDT; SHEAR DEFORMATION-THEORY; FUNCTIONALLY GRADED PLATES; THERMAL BUCKLING ANALYSIS; HIGHER-ORDER SHEAR; SIMPLE REFINED THEORY; WAVE-PROPAGATION; SANDWICH PLATES; ELASTIC-FOUNDATION; RECTANGULAR-PLATES; FLEXURAL VIBRATION;

D O I：

10.12989/gae.2019.18.2.161

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

In this research, a simple quasi 3D hyperbolic shear deformation model is employed for bending and dynamic behavior of functionally graded (FG) plates resting on visco-Pastemak foundations. The important feature of this theory is that, it includes the thickness stretching effect with considering only 4 unknowns, which less than what is used in the First Order Shear Deformation (FSDT) theory. The visco-Pastemak's foundation is taken into account by adding the influence of damping to the usual foundation model which characterized by the linear Winkler's modulus and Pastemak's foundation modulus. The equations of motion for thick FG plates are obtained in the Hamilton principle. Analytical solutions for the bending and dynamic analysis are determined for simply supported plates resting on visco-Pastemak foundations. Some numerical results are presented to indicate the effects of material index, elastic foundation type, and damping coefficient of the foundation, on the bending and dynamic behavior of rectangular FG plates.

引用

页码：161 / 178

页数：18

共 131 条

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