Impact of Vlasov Foundation Parameters on the Deflection of a Non-uniform Timoshenko Beam Subject to a Moving Load

Magdalena Ataman


Subject of the study is a Timoshenko beam with transverse-variable Young’s modulus. Problem of vibrations of the beam resting on an inertial Vlasov foundation and subjected to a moving force is solved analytically. The Timoshenko beam’s eigenproblem is discussed and the physical sense of the additional band of natural vibrations and the corresponding critical frequency is analytically explained. The impact of the foundation and its parameters on the Timoshenko beam’s vibrations forced by moving force is investigated. Dynamic factors relating to beam deflections are analyzed. Two vibration cases are discussed: forced vibrations (when a moving force is applied to the beam) and free vibrations (after the moving force has been left the beam). The damping effect on vibration is taken into account in the problem solution. The results indicate that appropriate selection of the foundation’s parameters allows for the beam deflection’s significant reduction, while the impact of the shear coefficient in the foundation on the reduction is more pronounced than the impact of other factors.
Author Magdalena Ataman (FCE / IRB)
Magdalena Ataman,,
- The Institute of Roads and Bridges
Journal seriesPeriodica Polytechnica-Civil Engineering, ISSN 0553-6626
Issue year2019
Publication size in sheets0.5
Keywords in English non-uniform Timoshenko beam, inertial Vlasov foundation, moving force
ASJC Classification1909 Geotechnical Engineering and Engineering Geology; 2205 Civil and Structural Engineering
Languageen angielski
Score (nominal)40
Score sourcejournalList
ScoreMinisterial score = 40.0, 12-06-2020, ArticleFromJournal
Publication indicators WoS Citations = 0; Scopus Citations = 0; Scopus SNIP (Source Normalised Impact per Paper): 2016 = 0.554; WoS Impact Factor: 2018 = 0.976 (2) - 2018=0.905 (5)
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