Modelling the dynamics of a flexible multibody system coupled to a rig
id container carrying a fluid with a free surface is addressed. The pr
oposed methodology allows the analyst to implement all sort of non-lin
earities inherent in the dynamics of the structure. Potential flow wit
h modified Rayleigh damping is used to model the fluid. Non-linear slo
shing effects are considered and no simplifications are made on the fi
eld equations and boundary conditions. A set of first-order differenti
al equations for the motion of both the structure and the fluid are pr
esented. Emphasis is placed on the point that the motion of the flexib
le multibody system is not prescribed but is found as part of the solu
tion procedure. Some improvements are presented with respect to a prev
ious introductory work by the authors. Detailed derivations and two nu
merical examples are presented: a flexible column supporting a rigid w
ater tank (with a comparison using an approximate method) and a double
flexible-link pendulum coupled to a rigid container. (C) 1998 John Wi
ley & Sons, Ltd. This paper was produced under the auspices of the U.S
. Government and it is therefore not subjected to copyright in the U.S
.