the invention concerns a grinding machine having displaceable grinding means for the processing of workpieces made from wood , wood composite materials , plastics , metals and similar materials . the invention further concerns a method of grinding a workpiece by means of the inventive grinding machine . the grinding aggregate comprises : at least one translational driving means configured to translate the grinding means and at least one eccentric tappet configured to rotatingly move the grinding means . the inventive device is characterized in that the grinding aggregate comprises a suctioning device which suctions waste products of the processing , such as chips , through the grinding means . in this way , it is possible to achieve a qualitatively superior grinding result .