Islamic Azad University - Arak BranchJournal of Solid Mechanics2008-35051420091230Effects of Geometric Nonlinearity on Stress Analysis in Large Amplitude Vibration of Moderately Thick Annular Functionally Graded Plate328342514312ENM.HAminiFaculty of Mechanical Engineering, College of Engineering, University of TehranARastgooFaculty of Mechanical Engineering, College of Engineering, University of TehranMSoleimaniFaculty of Mechanical Engineering, College of Engineering, University of TehranJournal Article20090825This paper deals with the nonlinear free vibration of thick annular functionally graded material plates. The thickness is assumed to be constant. Material properties are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The formulations are based on the first-order shear deformation plate theory and von Kármán-type equation. For harmonic vibrations, by using assumed-time-mode method sinusoidal oscillations are assumed, then the time variable is eliminated by applying Kantorovich averaging method. Thus, the basic governing equations for the problem are reduced to a set of ordinary differential equations in term of radius. The results reveal that vibration amplitude and volume fraction have significant effects on the resultant stresses in large amplitude vibration of the functionally graded thick plate.http://jsm.iau-arak.ac.ir/article_514312_46319e2cdbb668fca65ea58e83216ae6.pdf