Abstract: A grinding machine comprises a grinding shaft which is rotatably mounted on the grinding shaft stock for rotation about a longitudinally extending shaft axis. The grinding machine includes at least one grinding disk fixedly mounted to the shaft and at least one bearing movably disposed between the grinding shaft and the grinding shaft stock for rotatably supporting the grinding shaft. Finally, the grinding machine includes an adjustment means with an adjustable piezoelectric actuator which is disposed between the bearing and the grinding shaft stock. The grinding machine can be used to grind selective regions of a workpiece which is mounted to a workpiece stock so as to define a fixed longitudinally extending workpiece axis.