The interactions of blast waves with a moving body pushed by the blast waves are studied numerically. The two-dimensional, viscous, unsteady, Reynolds-averaged Navier-Stokes (RANS) equations are solved by the implicit-time formulation. A dual time-stepping, multi-stage scheme is used to obtain better results for pure convective processes. For the spatial discretization, the second order upwind scheme is employed. The physical quantities at cell faces are computed using a multidimensional linear reconstruction approach. Dynamic mesh model is applied to where the shape of the domain is changing with time due to the body motion. The pressure-time histories on the fixed and moving bodies impacted by the blast wave are also analyzed. Finally, the blast effects on the different shapes of wheeled armored vehicle hulls are calculated and compared. The proposed physical model and the numerical simulations used in the present work can be extended to solve shock wave interactions with other complex boundaries.