Axially moving beams can represent many engineering devices.Despite many advantages of these devices, noise and vibration, particularly transverse vibration, associated with the devices have limited their applications.Therefore.understanding transverse vibrations of axially moving beams is important for the design of the devices.So far, in spite of the fact that there have been many approximately analytical investigations on linear and/or nonlinear problems of axially moving beams, there are limited researches on the topic to confirm the analytical results via the numerical solutions to the governing equation[1, 2].