We study the possibility of kink motion induced by pure ac driving in
damped nonlinear lattices, focusing on the Frenkel-Kontorova and Toda
models. Numerical simulations of the Frenkel-Kontorova model show no e
vidence for steady kink motion. We point out that momentum-balance in
addition to energy-balance arguments are needed to understand the tran
slation of the collective excitation. Finally, our result is discussed
in view of related theoretical predictions and numerical simulations.