An Absolute Evaluation of Systematic Error of High-Precision Spindle

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In this research, we have established an absolute evaluation of precision spindle by developing vector representation method instead of Lissajous' method. In a new method a deviation of spindle axis is drawn en X-Y chart as vector locus of deviation magnitude and its direction. By this method it is possible to eliminate vagueness of Lissajous' method and to evaluate the magnitude of deviation absolutely. This technique is usefull in a case that separation and elimination of systematic erroe is effective to achieve high performance. By measuring four radial deviations in axially different two plane rectangular to spindle axis, a radial motion and conical motion are measured at same time. Moreover by measuring axial deviation by another sensor, it is possible to catch all of systematic error motion.First of all we made test system, then eliminate the effect of off-center of master ball. Secondly we evaluate the form error of master ball and the systematic error of spindle by multi step method. So we can get the systematic error in the value of deviation magunitude and its orientation. We represent this spindle error as vector on X-Y coordinate.As a results, a systematic error is detected accurately and it is found that the systematic error cannot be represented exactly by Lissajous' method. Systematic errors measured in different velocity are slightly different each other. The form of conical motion is also different from the form of radial motion. This research leads next research themes, for example a relation of spindle error and its dynamical system, systematic error and form error, etc.