  We report the realization of dynamical localization in a strongly driven
two-mode optomechanical system consisting of two coupled cantilevers. Due to
the coupling, mechanical oscillations can transport between the cantilevers.
However, by placing one of the cantilevers inside a harmonically oscillating
optical trap, we demonstrate that mechanical oscillations become tightly
bounded to the isolated cantilevers rather than propagate away at specific
driving parameters. The effect of dynamical localization is employed to induce
a conductor-to-insulator-like transition in the two-mode mechanical system,
which opens up new possibilities for further coherent control of transport
phenomena in coupled-mechanical-resonator based lattice.
