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Title: Contribution to the free vibration problem of a free-free beam with large end masses
Authors: Šalinić, Slaviša
Obradovic, Aleksandar
Dunjić M.
Sekulic, Dejan
Lazarević Ž.
Journal: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Issue Date: 1-May-2018
Abstract: © 2018 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim Free vibration of an Euler-Bernoulli beam with rigid bodies connected to the beam ends by both revolute joints and torsional springs is considered. The mass centers of rigid bodies have both the transverse and the axial eccentricity relative to the neutral axis of the undeformed beam. The coupling of the partial differential equations of axial and bending vibrations of the beam due to boundary conditions is considered. The frequency equation and the mode shape orthogonality condition of the system are derived. In order to illustrate the effect of the transverse and the axial eccentricity on the vibration behavior of the beam, a numerical example is provided.
Type: Article
DOI: 10.1002/zamm.201600300
ISSN: 00442267
SCOPUS: 85040533986
Appears in Collections:Faculty of Mechanical and Civil Engineering, Kraljevo
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