Amplification Factors in the Case of Beam Under Moving Force – Theoretical Analysis

Magdalena Ataman


AbstractThe impact of a moving load speed on the dynamic overload of beams, assuming that the track of the load has no unevenness, is examined. First the problem of a visco-elastic beam on a Winkler foundation subjected to a force moving at a constant speed will be solved. Using the Bubnov-Galerkin method, the deflections of the beam, and then the bending moments and shear forces will be determined. The solution of the problem will be obtained both for the case of a forced vibration and the case of a free vibration after the moving force has left the beam. Using these solutions, dynamic amplification factors will be determined for the deflections, bending moments, and shear forces, which are different for the two cases.The magnitude of the amplification factors increases and decreases alternately as a function of the speed. In the case of a single force on a beam, the dynamic overloads are limited, and do not exceed 60%. There is no resonance phenomenon in the beam subjected to the single moving force. The dynamic amplification factors determined in this way can be used as correction coefficients when designing engineering structures subjected to moving loads by static methods.
Author Magdalena Ataman (FCE / IRB)
Magdalena Ataman,,
- The Institute of Roads and Bridges
Journal seriesArchives of Civil Engineering, [Archiwum Inżynierii Lądowej], ISSN 1230-2945
Issue year2019
Publication size in sheets0.65
Keywords in Englishvibrations of beams, Winkler foundation, moving load, damping, dynamic amplification factor
ASJC Classification2205 Civil and Structural Engineering
Languageen angielski
[12302945 - Archives of Civil Engineering] Amplification Factors in the Case of Beam Under Moving Force – Theoretical Analysis(1).pdf 1.14 MB
Score (nominal)100
Score sourcejournalList
ScoreMinisterial score = 100.0, 13-01-2020, ArticleFromJournal
Publication indicators WoS Citations = 0; Scopus Citations = 0; Scopus SNIP (Source Normalised Impact per Paper): 2018 = 0.866
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