How can I remove Boundary Conditions in a Contact Problem?

Hi,

I'm a student and I'm dealing with a contact problem:

At first I need to push a body with an internal taper on another body with an exterior taper. I do that with a boundary condition.

After that I want to remove the boundary condition, to relax the two bodies and get an equilibrium. My problem is, that when I deactivate the BC or set the BC to 0, the two bodies slip off of each other and do not remain in an equilibrium status.

So how can I remove the BC without setting it to the original coordinates?

Thanks for your help!