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Abstract

Based on the three-dimensional elasticity theory, this paper focuses on the free vibration characteristics of functionally graded sandwich rectangular plates resting on Pasternak foundations. The two-constituent functionally graded plate consists of ceramic and metal. These constituents are graded through the thickness according to a three-parameter power-law distribution. The benefit of using the considered power-law distribution is to illustrate and present useful results arising from symmetric, asymmetric and classic profiles. In this research work, a detailed parametric study is carried out to highlight the influences of different profiles of fiber volume fraction, three parameters of power-law distribution and two-parameter elastic foundation modulus on the vibration characteristics of the functionally graded sandwich plates.

Keywords

Sandwich plate elastic foundation functionally graded materials three-parameter power-law distribution elasticity solution

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References

Abrate

. Impact on composite structures, Cambridge UK: Cambridge University Press, 1998.

Viola

Tornabene

. Free vibrations of three-parameter functionally graded parabolic panels of revolution. Mech Res Commun 2009; 36: 587–594.

Yang

Shen

. Dynamic response of initially stressed functionally graded rectangular thin plates. J Compos Struct 2001; 54: 497–508.

Cheng

Batra

. Exact correspondence between eigenvalues of membranes and functionally graded simply supported polygonal plates. J Sound Vib 2000; 229: 879–895.

Batra

Jin

. Natural frequencies of a functionally graded anisotropic rectangular plate. J Sound Vib 2005; 282: 509–516.

Malekzadeh

. Three-dimensional free vibrations analysis of thick functionally graded plates on elastic foundations. J Compos Struct 2009; 89(3): 367–373.

Anderson

. 3D elasticity solution for a sandwich composite with functionally graded core subjected to transverse loading by a rigid sphere. Compos Struct 2003; 60: 265–274.

Kashtalyan

Menshykova

. Three-dimensional elasticity solution for sandwich panels with a functionally graded core. Compos Struct 2009; 87: 36–43.

Kou

. Three-dimensional vibration analysis of functionally graded material sandwich plates. J Sound Vib 2008; 311(1–2): 498–515.

10.

Zenkour

. A comprehensive analysis of functionally graded sandwich plates. Part 1—deflection and stresses. Int J Solid Struct 2005; 42: 5224–5242.

11.

Zenkour

. A comprehensive analysis of functionally graded sandwich plates. Part 2—buckling and free vibration deflection and stresses. Int J Solids Struct 2005; 42: 5243–5258.

12.

Xiang

Kang

Yang

. Natural frequencies of sandwich plate with functionally graded face and homogeneous core. Compos Struct 2013; 96: 226–231.

13.

Bellman

Kashef

Casti

. Differential quadrature: a technique for a rapid solution of non linear partial differential equations. J Comput Phys 1972; 10: 40–52.

14.

Shu

. Differential quadrature and its application in engineering, Berlin: Springer, 2000.

15.

Shakeri

Akhlaghi

Hoseini

. Vibration and radial wave propagation velocity in functionally graded thick hollow cylinder. Compos Struct 2006; 76: 174–181.

16.

Chen

. Elasticity solution for free vibration of laminated beam. J Compos Struct 2003; 62: 75–78.

17.

Matsunaga

. Free vibration and stability of functionally graded plates according to a 2D higher-order deformation theory. J Compos Struct 2008; 82: 499–512.

18.

Zhou

Cheung

. Three-dimensional vibration analysis of rectangular thick plates on Pasternak foundation. Int J Numer Meth Eng 2004; 59: 1313–1334.

Free vibration analysis of three-parameter functionally graded material sandwich plates resting on Pasternak foundations

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