Paper Title:
Thermal Vibration of Functionally Graded Circular Plates
  Abstract

Based on the nonlinear theory of von Karman plate, axisymmetric nonlinear vibration of a functionally graded circular plate with clamped boundary condition is investigated under thermal loading. It is assumed that the mechanical and thermal properties of functionally graded materials vary continuously through the thickness of the plate and obey a simple power law related to the volume fraction of the constituents. Motion equations for the problem are derived. Existence of harmonic vibrations is assumed and then Ritz-Kantorovich method is used to convert the dynamic Von Karman equations to a set of nonlinear ordinary differential equations. Finally a shooting method is employed to numerically solve the resulting differential equations. Effects of amplitude A, thermal load parameter λ and material constant n on the vibration behavior of FGM plate are discussed in details.

  Info
Periodical
Key Engineering Materials (Volumes 353-358)
Edited by
Yu Zhou, Shan-Tung Tu and Xishan Xie
Pages
1777-1780
DOI
10.4028/www.scientific.net/KEM.353-358.1777
Citation
L. Wu, L. S. Ma, "Thermal Vibration of Functionally Graded Circular Plates", Key Engineering Materials, Vols. 353-358, pp. 1777-1780, 2007
Online since
September 2007
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Price
$32.00
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