Measurement error on the number of sheets of the paper on the vibratory feeder
DOI:
https://doi.org/10.15407/fmmit2024.39.049Keywords:
measurement error, vibratory feeder, coefficient of variation, sample, dispersionAbstract
The work includes an analysis of the accuracy of estimating the determined quantity of paper sheets on
vibratory conveyors from the perspective of probability theory and mathematical statistics. A resulting
formula for determining the confidence interval of measurement error was obtained. It was found that
for paper with a coefficient of variation in the range of 0.52%–1.29% (with a total number of sheets of
4000), the confidence interval of error due to the weight non-uniformity of sheets exceeds the confidence
interval of error due to inaccuracies in large and small weights by approximately 5 times. Thus, the
accuracy of estimating the quantity of paper sheets (in the cases considered) is mainly determined by the
coefficient of variation in the mass of one sheet. For a quick estimation of the confidence interval of the
quantity of sheets in a stack, it is proposed (for a specific type of paper) to construct a graph in the form
of a cascade of lines (at various discrete values of the total number of sheets), which reflects the
dependence of this quantity on the coefficient of variation in the mass of one sheet. This graph is
convenient to use when working with a certain type of paper from different manufacturers.
References
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