We present a theory for nonlinear dynamics of confined polymer melts u
nder oscillatory flow. Using a Rouse-like model of chains with finite
extensibility, we calculate elastic and dissipative stresses and corre
sponding storage and loss moduli. The effect of bridges and surface sl
ip are taken into account. Several features have been discovered: the
storage modulus G' passes through a maximum with increasing strain amp
litude in the range of intermediate frequencies, when adsorption is we
ak and surface slip is important; the elastic sigma' and dissipative s
igma '' stresses and the corresponding moduli G' and G '' show a jump
with increasing strain amplitude when polymer bridges between the surf
aces are formed.