Short notes

Free transverse oscillations of elastic beams with locally concentrated inhomogeneities

D. V. Bondarenko

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: 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.

UDC: 539.3

Received: 09.12.2011

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2012, 67:5-6, 138–139

Bibliographic databases:

•