Theoretical analysis of harmonic suppression in multi-step error separation technique

Multi-step error separation technique is one of the most widely used roundness separation technique. It can improve the precision of the roundness measuring instrument. By analyzing the model of multi-step, we can find that it has harmonic suppression and cannot be completely separate the roundness error of the tested parts from the rotation error of the spindle. When we use the M-steps, the km times harmonic in tested parts is lost and is mixed 1:1 with the rotation error of the spindle. In this paper, theoretical provement and simulation analysis of harmonic suppression of multi-step error separation technique are carried out: 1) using a group circular standards to separate the same spindle; and 2) using different steps to separate the same spindle.