  We examine the energy distribution in a three-dimensional model granular
system contained in an open cylinder under the influence of gravity. Energy is
supplied to the system by a vibrating base. We introduce spatially resolved,
partial particle-particle ``dissipations'' for directions parallel and
perpendicular to the energy input, respectively. Energy balances show that the
total (integrated) ``dissipation'' is less than zero in the parallel direction
while greater than zero in the perpendicular directions. The energy supplied to
the perpendicular directions is dissipated by particle-wall collisions. We
further define a fractional energy transfer, which in the steady state
represents the fraction of the power supplied by the vibrating base that is
dissipated at the wall. We examine the dependence of the fractional energy
transfer on the number of particles, the velocity of the vibrating base, the
particle-particle restitution coefficient, and the particle-wall restitution
coefficient. We also explore the influence of the system parameters on the
spatially dependent partial dissipations.
