Size-dependent free flexural vibration behavior of functionally graded nanoplates

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A review on the mechanics of nanostructures (2018, methodology): “Galerkin’s method [264, 265], the DQM [254, 266, 267], the finite element method [268, 269] and the kp-Ritz method [270, 271].”
Natural frequency analysis of functionally graded rectangular nanoplates with different boundary conditions via an analytical method (2015, unknown): “In Table 2 numerical results are compared to the finite element solution of a functionally graded nano-plate based on the first order shear deformation plate theory [37] for non-dimensional natural frequency X 1⁄4 xh ffiffiffiffiffiffiffiffiffiffiffiffi qc=Gc p .”
A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation (2016, methodology): “Natarajan et al. (2012) studied the free flexural vibration behavior of FG nanoplates using the iso-geometric based finite element method.”
On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model (2015, methodology): “The natural frequencies computed using the present theory, are compared with those of Natarajan et al. (2012) in Table 2.”