Determining the amount of sheets in a stack of paper by using a pressure stamp
Abstract
The paper will investigate the quality of an easy measuring procedure for determining the amount of sheets in a stack of paper. One of the central questions is the comparability of the height of a loaded stack consisting of a single sheet, a small stack or a high stack of sheets. Here two approaches were examined to constitute the different deformation behavior of a single sheet and a stack of paper. Experiments showed that deformation of the lowest and the highest surface of paper is not relevant and can be neglected if the stack of paper has more than 20 single sheets. Also experiments with different pressure stamps showed the spreading of a punctual charged load in the form of a cone to a bigger area while going down in the stack of paper. This has a high influence to the deformation allocation inside a stack of paper. The interesting reference factor - thickness of a loaded sheet - for the measuring procedure will even in high stacks not converge to a constant value. Analysis of the measurement data certifies this effect. Measuring the height of a stack of paper is not possible in required accuracy with the procedure due to the low quality of the measured reference factor. While comparing the calculated amount of sheets with the correct amount of sheets, a linear correlation between these values is conspicuous. Upgrading the easy measuring procedure with this linear correlation guides to a satisfactory measurement result. The use of the respective regression parameters is needed. The deviation to the exact amount of sheets can be lowered compared to the easy measuring procedure for example at 400 sheets, by factor 10 to 0.2 percent. The procedure can be used for measuring the amount of sheets in a stack of paper with a high accuracy.
Citation
Desch, M., & Dorsam, E. (2011, June). Determining the amount of sheets in a stack of paper by using a pressure stamp. Paper presented at the Eleventh International Conference on Web Handling (IWEB), Stillwater, OK.