The realization of a unilateral constraint is considered in a situatio
n in which the stiffness and coefficient of viscosity and the added ma
sses tend to infinity simultaneously in a consistent manner. The main
result is that limiting motions exist, which are identical on the boun
dary with the motions of a holonomic system with fewer degrees of free
dom. However, a special effect, not present in the classical model, oc
curs here, namely, a delay in the time at which the constraint is rele
ased.