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Research Papers

Nonlinear Analysis of a Thin Circular Functionally Graded Plate and Large Deflection Effects on the Forces and Moments

[+] Author and Article Information
A. Allahverdizadeh, M. H. Naei

School of Mechanical Engineering, University of Tehran, North Kargar Street, Tehran 14114, Iran

A. Rastgo1

School of Mechanical Engineering, University of Tehran, North Kargar Street, Tehran 14114, Iranarastgo@ut.ac.ir

1

Corresponding author

J. Eng. Mater. Technol 130(1), 011009 (Jan 17, 2008) (7 pages) doi:10.1115/1.2806254 History: Received November 19, 2006; Revised August 03, 2007; Published January 17, 2008

Nonlinear analysis of a thin circular functionally grade plate is formulated in terms of von Karman’s dynamic equations. The plate thickness is constant and temperature-dependent functionally graded material (FGM) properties vary through the thickness of the plate. Forces and moments of the plate, due to large vibration amplitudes, are developed in this paper by solving the governing equations for harmonic vibrations. Corresponding results are illustrated in the case of steady-state free vibration. The results show that the variation of volume fraction index is influential in forces, moments, and FGM properties.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 8

Variation of the dimensionless circumferential bending moment with dimensionless radius

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Figure 7

Variation of the dimensionless radial bending moment with dimensionless radius

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Figure 6

Variation of the dimensionless circumferential membrane force with dimensionless radius

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Figure 5

Variation of the dimensionless radial membrane force with dimensionless radius

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Figure 4

Nondimensional radial stress distribution along the nondimensional radius for the first nonlinear axisymmetric mode shape (8)

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Figure 3

Variation of the dimensionless radial stress with dimensionless radius on metal-rich surface

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Figure 2

Variation of the dimensionless mass density through the dimensionless thickness

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Figure 1

Variation of dimensionless Young’s modulus through the dimensionless thickness

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