Apparatuses and methods for suppressing thermally induced motion of a workpiece. An apparatus includes a workpiece heating system configured to thermally induce motion of a workpiece, and further includes a damping member spaced apart from the workpiece and configured to apply a damping force to dampen the motion of the workpiece. The damping member may be spaced apart from a rest position of the workpiece by a distance sufficiently small that gas pressure between the damping member and the workpiece opposes the motion of the workpiece. The distance is preferably adjustable.