International Institute of Acoustics and Vibrations
摘要
Based on the first-order shear deformation theory for Mindlin plate, response of circular functionally graded plates under transversely uniform heating is presented. By assuming that the material properties of the plate vary only along the thickness direction in power law function, the temperature filed is arrived at by solving the one dimensional heat conduction equation. By introducing harmonic vibration modes, the time variable is eliminated and the governing equations were reduced into a two-point boundary value problem of ordinary differential equations. By using shooting method, the natural frequencies of the FGM plate with fixed boundary condition depending on the temperature rise parameter in the pre-buckling region are obtained. An analysis has been carried out for the influence of the temperature rise, and the material properties on the natural frequencies. Comparison of the results by the first-order shear deformation plate theory with those by classical theory was given.
Fu, Xiaohua,Li, Shirong. Free vibration of heated circular FGM plate on first-order theory[C]:International Institute of Acoustics and Vibrations,2008:1522-1529.
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