A displacement is a boundary condition (the same as a restraint). Stated another way, a restraint is the same as a zero-valued displacement.
You can accomplish what you want to do with a force. Apply a unit force in the direction you're interested in. Run the model with only that force in the load case to obtain the displacements. Finally, scale up the force to obtain the displacement you're after. Use this final force value in your real load cases.
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Regards,
Richard Ay - Consultant