Nonlinear free vibration behavior of functionally graded plates

By J. Woo, Shaker A. Meguid, L. Ong. 2006

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Study on the free vibration of thick functionally graded rectangular plates according to a new exact closed-form procedure (2011, methodology): “[5] provided an analytical solution for the nonlinear free vibration behavior of FG square thin plates using the von Karman theory.”
Free vibration of functionally graded rectangular plates using first-order shear deformation plate theory (2010, methodology): “[3] provided an analytical solution for the nonlinear free vibration behavior of FG square thin plates using the von-Karman theory.”
An analytical study on the nonlinear vibration of functionally graded beams (2010, background): “[4] reported an analytical solution for the nonlinear free vibration behavior of thin rectangular functionally graded plates.”
Stress, vibration and buckling analyses of FGM plates—A state-of-the-art review (2015, background): “[213] presented a solution in terms of mixed Fourier series to study the nonlinear free vibration behavior of FGM plates based on the classical plate theory and von-Kármán nonlinearity for large transverse deflection.”