Accurate formula for determination of natural frequencies of FGM plates basing on frequencies of isotropic plates

Efraim, Elia

doi:10.1016/j.proeng.2011.04.043

Cited by 9 publications

(5 citation statements)

References 4 publications

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“…where P 0 , P −1 , P 1 , P 2 and P 3 are the coefficients of temperature T (in K) in the cubic fit of the material property and are unique to the materials. The shear correction factor for an FGM plate can be defined as [Efraim and Eisenberger 2007;Efraim 2011]…”

Section: Structural Formulationmentioning

confidence: 99%

Untitled

2014

J. Mech. Mater. Struct.

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In this research, the vibration of the functionally graded material (FGM) plates under random excitation is presented. The FGM plate is assumed to be moderately thick. One of the refined plate theories, the firstorder shear deformable theory (FSDT) is adopted to account for the transverse shear strain. The refined form of shear correction factor is used. The plate is assumed to be simply supported along all edges with movable ends. The mechanical properties of the FGM plate are graded in the thickness direction only according to a simple power-law distribution in terms of volume fraction of constituents. Mechanical properties of constituents (ceramic and metal) of the FGM plate are assumed temperature-dependent. The FGM plate is subjected to the random pressure that is considered as a stationary and homogenous random process with zero mean and Gaussian distribution. Both the spectral density method and Monte Carlo method are used for the linear responses. Thermal effects are only included in the Monte Carlo method. The root mean square (RMS) and mean responses of the FGM plate for different plate sizes, sound pressure levels, volume fractions and temperature distributions are presented.

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Section: Structural Formulationmentioning

confidence: 99%

Untitled

2014

J. Mech. Mater. Struct.

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“…where h is the plate thickness, the subscripts 1 and 2 indicate the top z = h/2 and bottom z = −h/2 surfaces, E -Young's modulus, ν -Poisson's ratio, ρ is mass density, n -material parameter (Reddy, 2000;Efraim, 2011;Kim and Reddy, 2013;Kumar et al, 2011). Mokhtar et al (2009) use the following definition of the function p(z)…”

Section: Introductionmentioning

confidence: 99%

Modelling of FGM plate

Jemielita

Kozyra

2018

jtam

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The paper presents formulation of the problem of layered plates composed of two various isotropic materials. We assume that the first material M 1 is characterized by the following parameters: Young's modulus E 1 and Poisson's ratio ν 1 , whereas the second one by E 2 and ν 2 , respectively. Let us consider two modelling cases for functionally graded material (FGM) plates. These cases are related to an appropriate distribution of the material within two-layer and three-layer systems. Our objective is to compare the stiffness of both the two-layer and there-layer plates with the FGM plate containing various proportions between the material components M 1 and M 2 .

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“…We use the differential equation developed by Ollsson [7] which governs the behavior of an infinite impacted composite plate. In the case of an FGM plate, our approach is to use the modeling of FGM proposed by Efraim [11]. The study was made under different temperatures by varying the proportion of FGM constituents.…”

Section: Introductionmentioning

confidence: 99%