Table 10 Dimensionless frequencies of an exponentially tapered beam under various boundary conditions, with a foundation \(k_r^{1f*} = \eta (1 - \alpha x_r^*)^2\), for \(\chi = 1\), \(\alpha = 3\), and \(\eta = 100\).

From: A discrete model for analyzing the free vibrations of a non-uniform 2D-FGM beam under elastic foundations and different support conditions