The surface dynamics of a stepped vicinal surface is studied using a c
ontinuum elastic theory. The surface vibrational Green's function is d
erived for a cubic crystal terminated at a stepped surface, using the
bulk elastic moduli and enforcing the boundary conditions appropriate
to a corrugated faceted surface. We apply this model to the dynamics o
f the Ni(977) surface and study its vibrational spectrum, including se
veral new step induced branches in the Rayleigh spectra. These results
are also compared with experimental data recently reported for Ni(977
) using inelastic atom scattering.