In this paper, the growth mechanism of corrugations on rolling surfaces has been analyzed by computer simulation. Whether the corrugations grow or diminish has been calculated using the models of plastic deformation with vertical contact vibrations, which were determined in former experiments. The effects of the vibration system on the stability conditions have been examined. In the case of a system with two degrees of freedom, considering elastic support of the roller rig and contact stiffness between the wheel and the roller rig, the growth conditions depend on the natural frequency of the system as in the case of a single degree of freedom. Rigid support of the roller rig leads to more sever growth of corrugation due to the first coupled natural frequency compared to soft support. By appropriate selection of the natural frequencies, it is possible to develop the corrugation with two wavelengths and to decrease it without the growth of another corrugation.