The nonlinear formulation developed based on von Karman's assumptions isemployed to study the free vibration characteristics of functionally gradedmaterial (FGM) plates subjected to thermal environment. Temperature field isassumed to be a uniform distribution over the plate surface and varied in thethickness direction. The material is assumed to be temperature dependent andgraded in the thickness direction according to the power-law distribution interms of volume fractions of the constituents. The effective materialproperties are estimated from the volume fractions and the material propertiesof the constituents using Mori-Tanaka homogenization method. The nonlineargoverning equations obtained using Lagrange's equations of motion are solvedusing finite element procedure coupled with the direct iteration technique. Thevariation of nonlinear frequency ratio with amplitude is highlightedconsidering various parameters such as gradient index, temperature, thicknessand aspect ratios, and skew angle. For the numerical illustrations, siliconnitride/stainless steel is considered as functionally graded material. Theresults obtained here reveal that the temperature field and gradient index havesignificant effect on the nonlinear vibration of the functionally graded plate.
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