TY - JOUR
N2 - The 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.
L1 - http://so.czasopisma.pan.pl/Content/115650/PDF/06_ace-2019-0006.pdf
L2 - http://so.czasopisma.pan.pl/Content/115650
PY - 2019
IS - No 1
EP - 96
KW - vibrations of beams
KW - Winkler foundation
KW - moving load
KW - damping
KW - dynamic amplification factor
A1 - Ataman, M.
PB - WARSAW UNIVERSITY OF TECHNOLOGY FACULTY OF CIVIL ENGINEERING and COMMITTEE FOR CIVIL ENGINEERING POLISH ACADEMY OF SCIENCES
VL - Vol. 65
DA - 31.03.2019
T1 - Amplification factors in the case of beam under moving force – theoretical analysis
SP - 83
UR - http://so.czasopisma.pan.pl/dlibra/publication/edition/115650
T2 - Archives of Civil Engineering
ER -