A workpiece accommodation device for purposes of accommodating a workpiece and for use in a device for the machining of a workpiece with: a tool mounting for purposes of accommodating the tool, a workpiece accommodation device for purposes of accommodating the workpiece, characterized in that during the machining process at least one first oscillation component can be introduced in a Z-direction, and an, in particular simultaneous, second oscillation component can be introduced in an X- and/or Y-direction by means of oscillation components.