Free vibration analysis of functionally graded plates resting on Winkler-Pasternak elastic foundations using a new shear deformation theory

被引：126

作者：

Atmane, Hassen Ait ^{[1
,2
]}

Tounsi, Abdelouahed ^{[1
]}

Mechab, Ismail ^{[1
]}

Bedia, El Abbas Adda ^{[1
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Lab Mat & Hydrol, Sidi Bel Abbes 22000, Algeria

[2] Univ Hassiba Benbouali Chlef, Fac Sci Ingn, Dept Genie Civil, Chlef, Algeria

来源：

INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN | 2010年 / 6卷 / 02期

关键词：

FG plates; Winkler-Pasternak elastic foundation; Shear deformation; Free vibration; THICK PLATES; STABILITY; MEMBRANES;

D O I：

10.1007/s10999-010-9110-x

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Free vibration analysis of simply supported functionally graded plates (FGP) resting on a Winkler-Pasternak elastic foundation are examined by a new higher shear deformation theory in this paper. Present theory exactly satisfies stress boundary conditions on the top and the bottom of the plate. The material properties change continuously through the thickness of the plate, which can vary according to power law, exponentially or any other formulations in this direction. The equation of motion for FG rectangular plates resting on elastic foundation is obtained through Hamilton's principle. The closed form solutions are obtained by using Navier technique, and then fundamental frequencies are found by solving the results of eigenvalue problems. The numerical results obtained through the present analysis for free vibration of functionally graded plates on elastic foundation are presented, and compared with the ones available in the literature.

引用

页码：113 / 121

页数：9

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