THE DIGITAL CORRECTION OF THE STRAIN GAUGE ERROR
DOI:
https://doi.org/10.24025/2306-4412.2.2019.174598Keywords:
strain gauge, temperature component of error, mean square error of approximation, polynomial coefficient, constantanAbstract
The article is aimed on the search of opportunities to improve the accuracy of remote measurements and noise immunity of measuring the stress-strain state, in particular on a detailed study of polynomial coefficients behavior for the most used range of temperatures of strain gauges. Based on the analysis of destabilizing factors, it is established that among the main destabilizing factors that limit the measurement accuracy of instrument systems equipped with strain gauges are the effects of external climatic and mechanical factors, in particular temperature, humidity and so on. The influence of the temperature range change for one of the most common materials used for the manufacture of strain gauges, namely, a constantan alloy with a minimum temperature coefficient of resistance and the variation of the temperature error values (± 10 %) on the rms error of the approximation error by power polynomials is studied. The NUMERY package has determined the dependence of the approximation error on the order of the approximating polynomial, which reveals that, over a wide temperature range, the error for the constant has a weak relationship with the polynomial order. As the calculations show, when narrowing the temperature range, the error sharply depends on the order of the approximating polynomial, and already at the sixth order it almost becomes zero. The influence of recording accuracy of tabulated values on polynomial coefficients is also investigated, and it is determined that a random error in the determination of coefficients up to ± 10 % for a constantan practically does not affect the mean square error of approximation. A method for digital temperature error correction that allows the correction of strain gauge errors by using TEDS is proposed. The efficiency of the algorithm in terms of nonlinearity of the temperature error will be determined with the accuracy of the fit of the approximating polynomial.
References
L. V. Kuzmych, "Modern trends in the creation of instrumentation systems for measuring mechanical quantities", Visnyk Inzhenernoi Akademii Ukrainy, no. 2, pp. 180- 184, Kyiv, 2016. [in Ukrainian].
L. Kuzmych; O. Kobylianskyi; and M. Duk, "Current state of tools and methods of control of deformations and mechanical stresses of complex technical systems", Proc. SPIE 10808, Photonics Applications in Astronomy, Communications, Industry, and HighEnergy Physics Experiments 2018, 108085J (October 1, 2018); doi: 10.1117/12.2501661
D. P. Ornatskyi, L. V. Kuzmych, and V. P. Kvasnikov, "Simulation of the analog interface for remote measurements using multiplexer and resistive strain gauges", Metrolohiia ta prylady, no. 1, pp. 31-36, Kharkiv, 2019 [in Ukrainian].
K. Erb., P. Fisher, "Digital’s Kompensation sverfahren zur Verbesserung von Messfuhlern", Bulletin SEV/VSE, 80, no. 7, 8, pр. 365-368, 1989.
Experimental mechanics: monograph in 2 books: Book 1, A. Kobaiasi, ed. Moscow: Mir, 1990 [in Russian].
V. A. Mekheda, Tensiometric method for strain measurement: manual. Samara: Izdvo Samar. gos. aerokosm. un-ta, 2011 [in Russian].
L. V. Kuzmich, D. P. Ornatsky, and V. P. Kvasnikov, "Development of the method and the instrument of the measurement of a stress-deformed state of a strain gauge", Visnyk Cherkaskogo derzhavnogo tekhnologichnogo universytetu, no. 1, pp. 69-74, 2019 [in Ukrainian].
G. Rus, S. Y. Lee, S. Y. Chang, and S. C. Wooh, "Optimized damage detection of steel plates from noisy impact test", International Journal for Numerical Methods in Engineering, vol. 68, iss. 7, pp. 707-727, 2006. doi: 10.1002/nme.1720.
T. Harada, N. Ishikawa, T. Kanda, K. Suzumori, Y. Yamada, and K. Sotowa, "Droplet generation using a torsional Langevin-type transducer and a micropore plate", Sensors and Actuators A: Physical, vol. 155, iss. 1, pp. 168-174, 2009.
A. Schroder, J. Rautenberg, and B. Henning, "Evaluation of cost functions for FEA based transducer optimization", Physics Procedia, vol. 3, iss. 1, pp. 1003-1009, 2010. doi: 10.1016/j.phpro.2010.01.129.
E. Schruffer, Signal processing: digital processing of sampled signals: manual, V. P. Babak, ed. Kyiv: Lybid, 1992 [in Ukrainian].
Downloads
Published
How to Cite
Issue
Section
URN
License
Copyright (c) 2020 Людмила Володимирівна Кузьмич, Дмитро Петрович Орнатський, Володимир Павлович Квасніков The authors who publish in this journal agree to the following terms:The authors reserve the right to authorship of their work and give the journal the right to first publish this work under the terms of the Creative Commons Attribution License CC BY-NC, which allows other persons to freely distribute published work with a mandatory reference to authors of the original work and the first publication of the work in this journal.
Authors have the right to conclude separate additional agreements for the non-exclusive distribution of the paper in the form in which it was published by this journal (for example, posting work in electronic repository or publishing as part of a monograph), provided that the link to the first publication in this journal is maintained.
The journal policy allows and encourages authors to post on the Internet (for example, in repositories of institutions or on personal websites) the manuscript of work, both before the submission of this manuscript to the editorial staff, and during its editorial work, as it contributes to the emergence of productive scientific discussion and positively affects the efficiency and dynamics of published work citation (see The Effect of Open Access).
