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

共 23 条

[1] Exact solutions for rectangular Mindlin plates under in-plane loads resting on Pasternak elastic foundation. Part II: Frequency analysis [J].

Akhavan, H. ;

Hashemi, Sh. Hosseini ;

Taher, H. Rokni Damavandi ;

Alibeigloo, A. ;

Vahabi, Sh. .

COMPUTATIONAL MATERIALS SCIENCE, 2009, 44 (03) :951-961

[2] Exact correspondence between eigenvalues of membranes and functionally graded simply supported polygonal plates [J].

Cheng, ZQ ;

Batra, RC .

JOURNAL OF SOUND AND VIBRATION, 2000, 229 (04) :879-895

[3] Membrane analogy of buckling and vibration of inhomogeneous plates [J].

Cheng, ZQ ;

Kitipornchai, S .

JOURNAL OF ENGINEERING MECHANICS, 1999, 125 (11) :1293-1297

[4] A further study about the behaviour of foundation piles and beams in a Winkler-Pasternak soil [J].

Filipich, CP ;

Rosales, MB .

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2002, 44 (01) :21-36

[5] Benchmark solutions for functionally graded thick plates resting on Winkler-Pasternak elastic foundations [J].

Huang, Z. Y. ;

Lue, C. F. ;

Chen, W. Q. .

COMPOSITE STRUCTURES, 2008, 85 (02) :95-104

[6]

Kerr A.D., 1964, J. Appl. Mech, V31, P491, DOI [10.1115/1.3629667, DOI 10.1115/1.3629667]

[7] Processing techniques for functionally graded materials [J].

Kieback, B ;

Neubrand, A ;

Riedel, H .

MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING, 2003, 362 (1-2) :81-105

[8] Three-dimensional free vibration analysis of thick functionally graded plates on elastic foundations [J].

Malekzadeh, P. .

COMPOSITE STRUCTURES, 2009, 89 (03) :367-373

[9] Vibration and stability of thick plates on elastic foundations [J].

Matsunaga, H .

JOURNAL OF ENGINEERING MECHANICS-ASCE, 2000, 126 (01) :27-34

[10] Free vibration and stability of functionally graded plates according to a 2-D higher-order deformation theory [J].

Matsunaga, Hiroyuki .

COMPOSITE STRUCTURES, 2008, 82 (04) :499-512

← 1 2 3 →