Analytical Research on Reversibility Properties of Dynamometers

MENG Chen; WU Kun; WU Shi; ZHANG Ye; JIANG Jile

doi:10.12338/j.issn.2096-9015.2020.9055

Volume 65 Issue 9

Sep. 2021

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MENG Chen, WU Kun, WU Shi, ZHANG Ye, JIANG Jile. Analytical Research on Reversibility Properties of Dynamometers[J]. Metrology Science and Technology, 2021, 65(9): 13-16. doi: 10.12338/j.issn.2096-9015.2020.9055

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MENG Chen, WU Kun, WU Shi, ZHANG Ye, JIANG Jile. Analytical Research on Reversibility Properties of Dynamometers[J]. Metrology Science and Technology, 2021, 65(9): 13-16. doi: 10.12338/j.issn.2096-9015.2020.9055

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Analytical Research on Reversibility Properties of Dynamometers

doi: 10.12338/j.issn.2096-9015.2020.9055

National Institute of Metrology, Beijing 100029, China

Available Online: 2021-05-17
Publish Date: 2021-09-01

Abstract

Abstract

This paper presents the influence of reversibility on uncertainty of force measurements. In actual measurement, the coverage factor k of reversibility cannot be determined because of its unknown distribution, despite of the value of 1.732 defined in ISO376. The reversibility properties of force sensors are studied based on the definition of coverage factor. Using both discrete and continuous analyses, the actual distribution of reversibility are discussed and finally the coverage factor k is determined. The discrete random variable is transformed into a continuous one by estimating the kernel density. Then the probability density of the unknown distribution is simulated using the center method and the shortest coverage interval. The finally determined coverage factors corresponding to confidence intervals of 95% and 99% are 1.8463 and 2.2216, respectively.
- reversibility,
- distribution,
- discrete variable,
- continuous variable,
- coverage factor,
- kernel density estimation

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References(15)

References

[1]	D J Pine, J P Gollub, J F Brady, et al. Chaos and threshold for irreversibility in sheared suspensions[J]. Nature, 2005, 438(7070): 997-1000. doi: 10.1038/nature04380
[2]	Ueda M, Kitagawa M. Reversibility in quantum measurement processes[J]. Physical Review Letters, 1992, 68(23): 3424-3427. doi: 10.1103/PhysRevLett.68.3424
[3]	Liu A J, Nagel S R. Nonlinear dynamics: Jamming is not just cool any more[J]. Nature, 1998, 396(11): 21-22.
[4]	Berta M, Wehner S, Wilde M M. Entropic uncertainty and measurement reversibility[J]. New Journal of Physics, 2015, 18(7): 1-7.
[5]	Barbier M, Gaspard P. Microreversibility and the statistics of currents in quantum transport[J]. PHYSICAL REVIEW E, 2020, 102(2).
[6]	Woensel J P V, Yayama H. A study on the reversibility of electric response induced by second sound in superfluid helium[J]. Low Temperature Physics, 2019, 45(4): 376-379. doi: 10.1063/1.5093515
[7]	Sastre G, Jörg Kärger, Ruthven D M. Diffusion Path Reversibility Confirms Symmetry of Surface Barriers[J]. The Journal of Physical Chemistry C, 2019, 123(32): 19596-19601. doi: 10.1021/acs.jpcc.9b04528
[8]	Karpov E M, Kulikovskii L F. Reversibility in measurement transducers[J]. Measurement Techniques, 1974, 17(6): 928-932. doi: 10.1007/BF00815216
[9]	Singh A P, Ghoshal S K, Kumar H, et al. Development and Metrological Evaluation of a Force Transducer for Industrial Application[J]. IEEE Access, 2021, 9: 33299-33312. doi: 10.1109/ACCESS.2021.3060746
[10]	Mcmahon G, Morse C I, Burden A, et al. Muscular adaptations and insulin-like growth factor-1 responses to resistance training are stretch-mediated[J]. Muscle & Nerve, 2013, 49(1): 108-119.
[11]	Hayashi T, Ueda K. Ambient pressure compensation for hermetically sealed force transducers[J]. Measurement, 2016, 91: 377-384. doi: 10.1016/j.measurement.2016.05.067
[12]	Garcia M A C, B V H S A. The (un)standardized use of handheld dynamometers on the evaluation of muscle force output - ScienceDirect[J]. Brazilian Journal of Physical Therapy, 2020, 24(1): 88-89. doi: 10.1016/j.bjpt.2019.10.004
[13]	ISO/TC 164/SC 1 Uniaxial testing, Metallic materials-Calibration of force-proving instruments used for the verification of uniaxial testing machines: ISO 376: 2011[S]. International Standards Organization, 2011.
[14]	全国法制计量管理计量技术委员会. 测量不确定度评定与表示: JJF1059.1-2012[S]. 北京: 中国质检出版社, 2012.
[15]	盛骤, 谢式千, 潘承毅. 概率论与数理统计[M]. 北京: 高等教育出版社, 2008: 119-120.