Table 7 Dimensionless frequencies of an exponentially tapered beam under various boundary conditions, with a foundation \(k_r^{2f*} = \eta (1 + \sin (\alpha x_r^*))\), for \(\chi = 0.5\), \(\alpha = 3\), 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