We report on the settling of loosely packed, cohesionless granular mat
erial under mechanical vibrations. Monodisperse spherical beads were c
onfined to a long vertical cylinder that was driven by an electromagne
tic vibration exciter. Under vibrations the bead packing evolves from
an initial, low-density configuration towards higher density. Ramping
the vibration intensity repeatedly up and back down again reveals the
existence of both an irreversible and a reversible branch in the respo
nse. The reversible branch represents a steady state in which the pack
ing density depends monotonically on the vibration intensity. We have
investigated the bead size, depth, and ramp rate dependence of the com
paction process. Our results indicate how the occupied volume fraction
can be optimized by slowly reducing the vibration intensity along the
reversible branch. (C) 1997 Elsevier Science S.A.