Vibrational analysis of length comparator

Abstract

The vibration analysis of the length comparator which is operating in dynamic mode and measures lengths with micrometers precision is of a high importance. In this paper, the theory of covariance functions is applied for the analysis of intensity distributions of length comparator vibrational signals and parameters. The data from measurements of vibrational signals at four fixed points were obtained in a form of data arrays. The estimates of cross-covariance functions between the data arrays and the estimates of auto-covariance functions of single arrays were calculated upon varying the quantization interval in the time domain. The normed auto-covariance and cross-covariance functions at the principal points of the comparator that enable establishing changes of correlation between data vectors upon changing the quantization interval of signals are presented. The changes of correlation between the vectors of vibration signals at the points of the comparator on varying the quantization interval are presented in graphs.