  The simulation of granular particles in a quasi two-dimensional container
under the vertical vibration as an experimental accessible model for granular
gases is performed. The velocity distribution function obeys an
exponential-like function during the vibration and deviates from the
exponential function in free-cooling states. It is confirmed that this
exponential-like distribution function is produced by Coulomb's friction force.
A Langevin equation with Coulomb's friction is proposed to describe the motion
of such the system.
