Free transverse oscillations of elastic beams with locally concentrated inhomogeneities / D. V. Bondarenko. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. № 6. P. 57-58 [Moscow Univ. Math. Bulletin. Vol. 67, N 6, 2012.].
The eigenvalue problem for the fourth-order differential equation simulating the free transverse oscillations of a strongly inhomogeneous elastic beam is studied numerically and analytically. The lowest modes of oscillations that are of interest in applications are sought.
Key words: Sturm-Liouville problem, transverse oscillations, advanced convergence method, local inhomogeneity.