  We propose an implementation of a generalized Su-Schrieffer-Heeger (SSH)
model based on optomechanical arrays. The topological properties of the
generalized SSH model depend on the effective optomechanical interactions
enhanced by strong driving optical fields. Three phases including one trivial
and two distinct topological phases are found in the generalized SSH model. The
phase transition can be observed by turning the strengths and phases of the
effective optomechanical interactions via adjusting the external driving
fields. Moreover, four types of edge states can be created in generalized SSH
model of an open chain under single-particle excitation, and the dynamical
behaviors of the excitation in the open chain are related to the topological
properties under the periodic boundary condition. We show that the edge states
can be pumped adiabatically along the optomechanical arrays by periodically
modulating the amplitude and frequency of the driving fields. The generalized
SSH model based on the optomechanical arrays provides us a tunable platform to
engineer topological phases for photons and phonons, which may have potential
applications in controlling the transport of photons and phonons.
