The short answer is that you can't. You'll need to
jack them somehow to eliminate that wobble. What can help is to increase the height and/or weight of the flats, but the former gets into designer acceptance issues, and of course the latter affects operation.
There are two reasons the wall sways when the doors open: 1) as the door swings out, the center gravity of the wall moves outside of the footprint of the flats and 2)
dynamic forces generated by pushing and pulling the doors getting translated to the
flat overall. Making the flats taller gives the doors a less favorable
moment against the wall as a whole and against the lift lines. Making the whole thing heavier means that the center gravity will
shift less since more of the total mass is staying in place, and will increase inertia which will help to dampen the
dynamic forces.
But really, you want to
jack the wall somehow. You can do folding jacks on the back that get
stage screwed or sandbagged down, but this can wind up getting dangerous if not done right--ie, if someone leaves a
sandbag on the
jack, or doesn't secure the
jack in its folded position before the
unit flies out.
Another solution is to
build a couple
ballast wagons--just plain wagons loaded with a bunch of weight and a couple jacks that get wheeled into place behind the
unit and latched to it.
And, okay, there is one other way to stabilize the wall without jacks
per se--you could
build guide tracks that the ends of the wall slide in.