Nonlinear free and forced vibration analysis of thin circular functionally graded plates

By A. Allahverdizadeh, M. H. Naei, M. Bahrami. 2008

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A critical review of recent research on functionally graded plates (2013, background): “[161,162] analysed the nonlinear free and forced axi-symmetric vibration of a thin circular FG plate using a”
An analytical study on the nonlinear vibration of functionally graded beams (2010, background): “[16, 17] presented the nonlinear dynamic analysis of thin circular functionally graded plates.”
Stress, vibration and buckling analyses of FGM plates—A state-of-the-art review (2015, methodology): “[218,219] presented a semianalytical method using assumed-time-mode method and Kant-”
Free vibration analysis of multi-directional functionally graded circular and annular plates (2012, background): “[4] discussed the nonlinear free and forced vibration of thin annular plates which made of functionally graded material.”
An efficient shear deformation theory for vibration of functionally graded plates (2013, background): “[26,27], the Poisson’s ratio ν is usually assumed to be constant.”
A NOVEL APPROACH FOR IN-PLANE/OUT-OF-PLANE FREQUENCY ANALYSIS OF FUNCTIONALLY GRADED CIRCULAR/ANNULAR PLATES (2010, background): “[4] developed a semi-analytical approach for non-linear axisymmetric vibration of thin circular FG plates.”