In-plane free vibration of FGM annular plates considering temperature effect

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (9) : 210-217.

TENG Zhao-chun，PU Yu

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Abstract

Based on the two-dimensional elastic theory and the Hamilton's principle, in-plane free vibration differential motion equations for the functionally graded thin annular plate in thermal environment are derived, which the material properties are assumed to be temperature-dependent and graded in the radial direction of annular plates and can vary according to power law distributions. By using differential quadrature method(DQM), the dimensionless frequency parameters of in-plane free vibration of the FGM annular plates under thermal environment are obtained. The formulations are validated by comparing the results with those available in the literature for the dimensionless frequency parameters to in-plane free vibration of isotropic annular plates. At the same time, considering uniform and variable temperature rise through the radial of the annular plate, the effects of geometrical parameters, material graded index and temperature rise on the natural frequencies of in-plane free vibration are investigated.

Key words

FGM annular plates / initial thermal stress / in-plane free vibration / dimensionless frequency / Hamilton's principle / DQM

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TENG Zhao-chun，PU Yu. In-plane free vibration of FGM annular plates considering temperature effect[J]. Journal of Vibration and Shock, 2015, 34(9): 210-217

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