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Watt Balance Layout: Mathematical Modeling of Vertical Guides Based on Iris Springs

  • MECHANICAL MEASUREMENTS
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Measurement Techniques Aims and scope

The new definition of a kilogram in the International System of Units is associated with fixing the value of the Planck constant. Practical implementation of the new definition of the kilogram is carried out by comparing the mechanical and electrical powers in a watt balance. One of the main components of the watt balance is a coil with a current, moving in a constant homogeneous magnetic field. The parameters of the coil movement affect the accuracy of the watt balance. The coil must move strictly vertically without additional movements, including rotational displacements around the watt balance. An iris spring is proposed, in order to ensure vertical movement of the watt balance coil as a motion guide. Iris springs are characterized by low longitudinal rigidity with considerable rigidity in the transverse directions. A model approach has been developed in which, because of its complex geometric shape, the actual iris spring is replaced by a model that retains the basic properties of the original iris spring. A model of the lobe of an iris spring was proposed and studied in the form of a rectangular plate, with the corresponding equations of thin plate theory. For specified deformations (height of bend) of the lobe of an iris spring, the forces acting on the lobe are calculated. In weighting mode, the spring is practically not deformed, and its action on the coil with a current is of the order of 10–6 N. The angles of rotation of the inner ring of the spring for a given set of heights are calculated. The approach for the construction of an iris spring that is under study can be applied in the development and creation of watt balances in the Russian Federation.

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Notes

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Acknowledgment

This work was performed within the research project "A study of paths toward the creation of a Primary Standard of the kilogram based on watt-balances," codename "Progress" (state contract No. 120-68/2021 dated November 8, 2021).

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Authors and Affiliations

  1. D. I. Mendeleev Institute for Metrology (VNIIM), St. Petersburg, Russia

    K. V. Chekirda, A. A. Yankovskii & A. A. Lobashev

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  1. K. V. Chekirda
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  2. A. A. Yankovskii
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  3. A. A. Lobashev
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Correspondence to K. V. Chekirda.

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Translated from Izmeritel’naya Tekhnika, No. 11, pp. 51–56, November, 2022.

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Chekirda, K.V., Yankovskii, A.A. & Lobashev, A.A. Watt Balance Layout: Mathematical Modeling of Vertical Guides Based on Iris Springs. Meas Tech 65, 841–847 (2023). https://doi.org/10.1007/s11018-023-02159-z

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