K. Henchi et al., AN EFFICIENT ALGORITHM FOR DYNAMIC ANALYSIS OF BRIDGES UNDER MOVING VEHICLES USING A COUPLED MODAL AND PHYSICAL COMPONENTS APPROACH, Journal of sound and vibration, 212(4), 1998, pp. 663-683
A general and efficient method is proposed for the resolution of the d
ynamic interaction problem between a bridge, discretized by a three-di
mensional finite element model, and a dynamic system of vehicles runni
ng at a prescribed speed. The resolution is easily performed with a st
ep-by-step solution technique using the central difference scheme to s
olve the coupled equation system. This leads to a modified mass matrix
called a pseudo-static matrix, for which its inverse is known at each
time step without any numerical effort. The method uses a modal super
position technique for the bridge components. The coupled system vecto
rs contain both physical and modal components. The physical components
are the degrees of freedom of a vehicle modelled as linear discrete m
ass-spring-damper systems. The modal components are the degrees of fre
edom of a linear finite element model of the bridge. In this context,
the resolution of the eigenvalue problem for the bridge is indispensab
le. The elimination of the interaction forces between the two systems
(bridge and vehicles) gives a unique coupled system (supersystem) cont
aining the modal and physical components. In this study, we duly consi
der the bridge pavement as a random irregularity surface. The comparis
on between this study and the uncoupled iterative method is performed.
(C) 1998 Academic Press Limited.