Theoretical and experimental analysis of dynamic parameters of the leveling and centering device

Abstract

The article analyzes vibrational oscillation’s strength dissemination and the parameters in the centering and leveling table using the covariance function theory. The implementation of measurement techniques requires to use most advanced ideas, and to seek and develop new tools, based on which the direction of angle calibration system’s development could be substantiated and calibration methodologies could be enabled. Vibrational oscillation strength measurements across fixed five ring points’ observations were recorded on a time scale in five vectors arrays (matrices). The covariance functions have enabled the evaluation of the influence of the vibrations of the corresponding rings on the accuracy of the measurement results. Expressions of auto-covariance and cross-covariance functions show the changes in the time scale of the interdependence between the parameters of the corresponding vibrations of the rings on the smoothing device. These changes significantly affect the measurement data errors. The digital vibrational strength measurement arrays’ reciprocal covariance functions were calculated, and estimates of individual arrays’ auto-covariance functions, by changing the quantization interval on the time scale. The covariance model proposed by the authors for the analysis of the dynamical parameters of the centering–leveling devices can be used to investigate the dynamic characteristics of the angular comparators containing the said devices and at the same time to determine the ways of improving the precision of these angular comparators. The calculations were carried out using the special computer program developed by the authors of the Matlab7 Operator Package (The MathWorks, Inc. R2012a 7.14.0.739 License Number 699298).