Time-history response of elastic beams under moving load

This paper presents dynamic time-history response of elastic beams subjected to moving loads, both during loading and after the load has left the beam. The beam is modeled using Euler-Bernoulli theory, and the governing equation is solved separately for the two stages: while the load travels along the beam and after it leaves. The response after the load leaves the beam is formulated as an initial value problem by considering the state of the beam at the onset of leaving load as the initial condition for the homogeneous dynamic equations. The effect of load speed on maximum deflection of the beam, as well as on the time history of deflection during and after loading is investigated. The results show that in the absence of damping, the maximum deflection in the beam may happen after the load has left the beam.

کلیدواژه ها:

Euler-Bernoulli theory ، dynamic response ، moving load ، time-history of deflection