Three-dimensional vibration analysis of functionally graded material sandwich plates

被引：312

作者：

Li, Q. ^{[1
]}

Iu, V. P. ^{[1
]}

Kou, K. P. ^{[1
]}

机构：

[1] Univ Macau, Dept Civil & Environm Engn, Taipa, Peoples R China

来源：

JOURNAL OF SOUND AND VIBRATION | 2008年 / 311卷 / 1-2期

关键词：

D O I：

10.1016/j.jsv.2007.09.018

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Free vibration of functionally graded material sandwich rectangular plates with simply supported and clamped edges is studied based on the three-dimensional linear theory of elasticity. Two common types of FGM sandwich plates, namely, the sandwich with FGM facesheet and homogeneous core and the sandwich with homogeneous facesheet and FGM core, are considered. The three displacements of the plates are expanded by a series of Chebyshev polynomials multiplied by appropriate functions to satisfy the essential boundary conditions. The natural frequencies are obtained by Ritz method. Rapid convergence is observed in this study. The natural frequencies of simply supported power-law FGM sandwich plates are compared with results from different two-dimensional plate theories. Parametric study is performed for varying volume fraction, layer thickness ratios, thickness-length ratios and aspect ratios of the sandwich plates. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：498 / 515

页数：18

共 33 条

[11] THE CRACK PROBLEM FOR A NON-HOMOGENEOUS PLANE [J].

DELALE, F ;

ERDOGAN, F .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1983, 50 (03) :609-614

[12] FINITE-ELEMENT ANALYSIS OF THERMAL RESIDUAL-STRESSES AT GRADED CERAMIC-METAL INTERFACES .2. INTERFACE OPTIMIZATION FOR RESIDUAL-STRESS REDUCTION [J].

DRAKE, JT ;

WILLIAMSON, RL ;

RABIN, BH .

JOURNAL OF APPLIED PHYSICS, 1993, 74 (02) :1321-1326

[13]

Fox L., 1968, CHEBYSHEV POLYNOMIAL

[14] Transient thermal stress analysis of an edge crack in a functionally graded material [J].

Jin, ZH ;

Paulino, GH .

INTERNATIONAL JOURNAL OF FRACTURE, 2001, 107 (01) :73-98

[15] Determination of processing-induced stresses and properties of layered and graded coatings: Experimental method and results for plasma-sprayed Ni-Al2O3 [J].

Kesler, O ;

Finot, M ;

Suresh, S ;

Sampath, S .

ACTA MATERIALIA, 1997, 45 (08) :3123-3134

[16]

Koizumu M., 1993, Funct.Grad. Mater, V34, P3

[17]

Li Q., 2006, P 10 INT C ENH PROM

[18] Vibration of functionally graded cylindrical shells [J].

Loy, CT ;

Lam, KY ;

Reddy, JN .

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1999, 41 (03) :309-324

[19] Three-dimensional elasticity solutions for free vibrations of rectangular plates by the differential quadrature method [J].

Malik, M ;

Bert, CW .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1998, 35 (3-4) :299-318

[20] Thermal stresses in functionally graded materials [J].

Noda, N .

JOURNAL OF THERMAL STRESSES, 1999, 22 (4-5) :477-512

← 1 2 3 4 →