Extrapolation errors of force transducer curve fitting equations
##plugins.themes.bootstrap3.article.details##
Calibration laboratories often face the challenge of the impossibility to perform full capacity range calibration of their force transducers, particularly below 10 % of the force transducer’s capacity. Sometimes these laboratories use curve fitting extrapolation to estimate and predict force transducer behavior within uncalibrated capacity ranges. This work deals with the study of extrapolation errors in force transducers to know and estimate prediction accuracies when using extrapolation for force transducer calibration in ranges below 10 % and between 50 % and 100 % of the transducer’s capacity. The results of this study showed that the magnitude of the extrapolation error is very close to the magnitude of the reproducibility error within calibrated capacity ranges in the laboratory.
force transducer, calibration range, extrapolation error, accuracy, uncertainty
doi: 10.1109/ACCESS.2021.3060746
[2] Mohamed MI, Hasan EH, Aggag G, Study of Creep Behavior of Load Cells, Measurement, 42: 1006–1010, 2009.
doi: 10.1016/j.measurement.2009.03.001
[3] Mohamed MI and Hasan EH, The metrological characteristics of force transducers under loads less than 10 % of its capacity, IMEKO TC3, Cairo, 2005.
[4] Hasan EH, et al., Performance evaluation of force transducers, Indian Journal of Pure and Applied Physics, 50(2): 86–90, 2012.
[5] Medina N, Validity of extrapolation based on polynomial approximation, IMEKO 23rd International Conference, Helsinki, 2017.
[6] Tegtmeier F, et al. Investigation of transfer standards in the highest range up to 50 MN within EMRP project SIB 63, XXI IMEKO Congress, Prague, 2015.
[7] Clegg L, Extending transducer calibration range by extrapolation, Interface, 2015.
[8] ISO 376:2011(E), Metallic materials — Calibration of force-proving instruments used for the verification of uniaxial testing machines.
[9] Spiegel MR and Stephens LJ, Theory and problems of statistics, Schaum’s outline series, McGRAW-HILL, 2008.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.