Abstract: The force integration method(FIM) and the mode transfer method(MTM) are two kinds of frequently-used methods to solve the vibro-impact problem of continuum. In a previous paper, the authors put forward the method of the relative mode transfer method(RMTM), and expanded the application scope of MTM, but the differences of numerical results obtained from the FIM and the RMTM remain to be explored. With an example of practical engineering background, the numerical results are obtained both through the FIM and the RMTM. An index for evaluating the difference of the results is proposed, and the effects of the stiffness and the damping ratio on the index are discussed. Finally the results are compared with the experimental data from literature, and it is indicated that the increase of the stiffness and the damping ratio leads to the increase of the difference index. The correctness of the simulation result using the two methods is determined by comparing with experimental data when the stiffness is increased to a certain degree which makes the impact become a rigid impact. By comparing the numerical process of the two methods, it is shown that FIM is more convenient to obtain the results but RMTM enjoys a better convergence and a higher calculation efficiency.