Numerical investigation of a bubble immersed in a liquid of different density in a container subject to translational oscillations in weightlessness conditions shows the following scenario where the bubble, initially located at the container center, starts to move to the container wall due to an attraction mechanism having nonviscous origin. This motion is accompanied by small-amplitude oscillations with the frequency equal to the forcing frequency and by eigen-oscillations with long period excited by the initial acceleration. These eigen-oscillations are gradually damped. Simultaneously, the deformation of the bubble shape averaged over the external forcing period occurs. The bubble is flattened in the direction of vibration axis. An interesting result is the deceleration of the bubble motion when it approaches the wall and stops without touching the wall, such that a final state is reached where the bubble centroid remains nearly quiescent (performing small oscillations around this final mean position). Numerical results on the eccentricity of the inclusion average-shape obtained under assumption that the inclusion cross-section is an ellipse are compared with the results of analytical investigation for the case of a cylindrical container of large radius. Good agreement is found for a small-size inclusion.