

Methods for determining the mass of objects in motion using a one-component strain-gauge dynamometer
https://doi.org/10.32446/0368-1025it.2025-3-49-58
Abstract
Increasing accuracy of weight-in-motion measurements is considered. Mass of moving objects is calculated through the measurement of unsteady force with the help of one-component strain-gauge dynamometers. It is shown that existing methods of dynamic weighing enable the measurement of non-stationary forces with an uncertainty exceeding 10 %. Such high error is related to the fact that, with higher speed, the accuracy of dynamic load measurements becomes more dependent on dynamical characteristics of the one-component strain-gauge dynamometer. New methods of dynamic load measurement eliminating the systematic error related to the dynamometer’s own dynamics have to be developed to increase mass determination accuracy. Two methods for weight-in-motion measurement of the mass of loads moving on the sensitive platform of a one-component strain-gauge dynamometer at high velocities are developed. Mass determination is carried out over a wide frequency range of the dynamometer, including the natural frequency. In order to apply the first method, only the dynamometer readings in the vicinity of the given point of time for calculating first and second time derivatives of the readings and the dynamical parameters of the dynamometer determined in laboratory conditions are required. To use the second method, it is necessary to first determine the natural frequency of the dynamometer with a platform, and then the frequency of the platform with the moving load. Then, measurement data obtained through methods one or two are used for calculating the mass. Average error in determining the mass using the first method was 2.8 %, and using the second method – 4.1 %. At the same time, the error did not exceed 6.0 %. The developed technology for determining the mass of moving objects can be implemented in weighing hardware for the use in many areas of industry, trade, agriculture and other.
Keywords
About the Authors
S. A. GlazkovRussian Federation
Sergey A. Glazkov
Zhukovsky, Moscow re
A. R. Gorbushin
Russian Federation
Anton R. Gorbushin
Zhukovsky, Moscow re
A. E. Kozik
Russian Federation
Alexander E. Kozik
Zhukovsky, Moscow re
E. A. Krapivina
Russian Federation
Ekaterina A. Krapivina
Zhukovsky, Moscow re
A. V. Semenov
Russian Federation
Alexander V. Semenov
Zhukovsky, Moscow re
V. A. Yakyshev
Russian Federation
Vyacheslav A. Yakyshev
Zhukovsky, Moscow re
References
1. Meymand S. Z., Ahmadian M. Design, development, and calibration of a force-moment measurement system for wheel– rail contact mechanics in roller rigs. Measurement, 81, 113–122 (2016). http://dx.doi.org/10.1016/j.measurement.2015.12.012
2. Xiaodi Xu, Shanchao Sun, Liubin Niu, Zaitian Ke, Fei Yang, Xin Xiong. An approach for the estimation of vertical wheel/rail force using dynamic signals. Vehicle System Dynamics, 62(4), 1022–1036 (2024). https://doi.org/10.1080/00423114.2023.2214256
3. Senyanskii M. V., Gavrilenkov S. I. Method of assessing the accuracy of automatic measurements of weight parameters of motor vehicles at maximum speeds and axle loads. Instruments, (9(255)), 44–54 (2021). (In Russ.) https://www.elibrary.ru/kjjaaq
4. D. L. Beshears, G. J. Capps, J. K. Jordan, J. V. Laforge, J. D. Muhs, R. N. Nodine, M. B. Scudiere, C. P. White. US Patent no. WO 98/40705 (17 September 1998).
5. Burnos P., Gajda J., Sroka R., Wasilewska M., Dolega C. High accuracy weigh-in-motion systems for direct enforcement. Sensors, 21, 8046 (2021). https://doi.org/10.3390/s21238046
6. Socha A., Izydorczyk J. Strain gauge calibration for high speed weight-in-motion station. Sensors, 24, 4845 (2024). https://doi.org/10.3390/s24154845
7. Solntsev K. E., Ryabtsev A. N. Dispensers and hopkin scales. Instruments, (10(244)), 35–44 (2020). (In Russ.) https://www.elibrary.ru/qcqkmu
8. Mee D. J. Dynamic calibration of force balances for impulse hypersonic facilities. Shock Waves, 12, 443–455 (2003). https://doi.org/10.1007/s00193-003-0181-6
9. Quix H., Ann-Katrin Hensch. Dynamic measurements on the NASA CRM model tested in ETW. AIAA 2015-1097. 53rd AIAA Aerospace Sciences Meeting, 5–9 January 2015, Kissimmee, Florida. https://doi.org/10.2514/6.2015-1097
10. Dontu A. I., Barsanescu P. D., Andrusca L., Danila N. A. Weigh-in-motion sensors and traffic monitoring systems – Sate of the art and development trends. IOP Conference Series: Materials Science and Engineering, 997(1), 012113 (2020). https://doi.org/10.1088/1757-899X/997/1/012113
11. Gorbushin A. R., Bolshakova A. A. Unsteady axial force measurement by the strain gauge balance. Measurement, 152, 107381 (2020). https://doi.org/10.1016/j.measurement.2019.107381
12. Gorbushin A. R. Patent RU 2743778 C1, Inventions. Utility models, no. 6 (2021).
13. Loitsyaenskii L. G., Lur’e A. I. Course of theoretical mechanics. Moscow, Nauka (1983). (In Russ.)
14. Gorbushin A. R. A method for taking into account the influence of the model and dynamometer weights on the straingauge balance readings. TsAGI Science Journal, 40(4), 485–495 (2009). https://doi.org/10.1615/TsAGISciJ.v40.i4.70
15. Gorbachev N. A., Gorbushin A. R., Krapivina E. A., Sudakova I. A. Use of accelerometers for measurement of pitch and bank angles in an aerodynamic experiment. Measurement Techniques, 55(8), 883–889 (2012). https://doi.org/10.1007/s11018-012-0054-4
16. Burov V. V., Volobuev V. S., Glazkov S. A., Gorbushin A. R., Chumachenko E. K. Measuring and computational system of TsAGI T-128 transonic wind tunnel. Automation and Remote Control, 72, 634–641 (2011). https://doi.org/10.1134/S0005117911030143
17. Anokhina E. N. et al., Patent RU 2805536 C1, Inventions. Utility models, no. 29 (2023).
18. Anokhina E. N. et al., Patent RU 2805127 C1, Inventions. Utility models, no. 29 (2023).
Supplementary files
Review
For citations:
Glazkov S.A., Gorbushin A.R., Kozik A.E., Krapivina E.A., Semenov A.V., Yakyshev V.A. Methods for determining the mass of objects in motion using a one-component strain-gauge dynamometer. Izmeritel`naya Tekhnika. 2025;74(3):49-58. (In Russ.) https://doi.org/10.32446/0368-1025it.2025-3-49-58