E. Esmailzadeh et M. Ghorashi, VIBRATION ANALYSIS OF BEAMS TRAVERSED BY UNIFORM PARTIALLY DISTRIBUTED MOVING MASSES, Journal of sound and vibration, 184(1), 1995, pp. 9-17
An investigation into the dynamic behavior of beams with simply suppor
ted boundary conditions, carrying either uniform partially distributed
moving masses or forces, has been carried out. The present analysis i
n its general form may well be applied to beams with various boundary
conditions. However, the results from the computer simulation model gi
ven in this paper are for beams with simply supported end conditions.
Results from the numerical solutions of the differential equations of
motion are shown graphically and their close agreement, in some extrem
e cases, with those published previously by the authors is demonstrate
d. It is shown that the inertial effect of the moving mass is of impor
tance in the dynamic behavior of such structures. Moreover, when consi
dering the maximum deflection for the mid-span of the beam, the critic
al speeds of the moving load have been evaluated. It is also verified
that the length of the distributed moving mass affects the dynamic res
ponse considerably. These effects are shown to be of significant pract
ical importance when designing beam-type structures such as long suspe
nsion and railway bridges. (C) 1995 Academic Press Limited