The melting transition of a charge-polydisperse dusty plasma crystal under
the influence of a time-dependent oscillating field is studied within a sim
ple model. The stochastic dynamics of the dust particles is modelled by a F
okker-Planck description. Using non-equilibrium computer simulations we det
ect a non-monotonic behaviour of the melting line as a function of the freq
uency of the external field. This is attributed to a cage resonance effect
which is controlled by the intrinsic polydispersity of the sample. The resu
lts are qualitatively explained within a cage theory of the polydisperse so
lid combined with a generalized Lindemann rule of melting.