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Selection of Reference Circles in the Analysis of Roundness of Rolling Bearings Parts

  • LINEAR AND ANGULAR MEASUREMENTS
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Measurement Techniques Aims and scope

The article discusses the acute production issue of reducing the error in measuring the roundness of rolling bearings parts. The scientific rationale for the selection of reference circles in the analysis of the roundness of the specified parts is presented. The selection criteria were physical interpretability, minimum roundness, reliability and performance of the roundness calculation algorithm. The inner and outer surfaces of the rings and balls of a single-row radial bearing have been measured on a roundness gauge and a coordinate measuring machine. The roundness values of bearings parts were calculated using four reference circles: least squares, minimum zone, minimum circumscribed, maximum inscribed. It has been found that the calculation along the minimum zone circle provides the minimum roundness value. Statistical Monte-Carlo modelling has been carried out to assess the distribution of parts roundness in a batch of bearings. For this purpose, a technique has been developed that allows, on the basis of harmonic analysis, identifying the distribution parameters of amplitudes and initial phases of harmonics of the parts profile, and then modelling the distribution in the batch, taking into account the correlation. The results of statistical modelling have confirmed that the minimum zone circle has the minimum roundness value in terms of arithmetic mean and standard deviation. A reliable and high-performance numerical algorithm for minimizing the functional in the form of the minimum zone width has been applied to calculate the centre of the minimum zone circle. The calculation along the minimum zone circle for the outer and inner rings of the bearing made it possible to minimize the gap between them. Taking into account all the criteria, it is recommended to use the minimum zone circle for the analysis of roundness of the rings and balls of rolling bearings.

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Authors and Affiliations

  1. Gagarin Saratov State Technical University, Saratov, Russia

    O. V. Zakharov

  2. Perm National Research Polytechnic University, Perm, Russia

    K. G. Pugin

  3. Pryanishnikov Perm State Agrotechnological University, Perm, Russia

    O. V. Zakharov & K. G. Pugin

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  1. O. V. Zakharov
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  2. K. G. Pugin
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Correspondence to O. V. Zakharov.

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Translated from Izmeritel’naya Tekhnika, No. 2, pp. 14–21, February, 2022.

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Zakharov, O.V., Pugin, K.G. Selection of Reference Circles in the Analysis of Roundness of Rolling Bearings Parts. Meas Tech 65, 96–103 (2022). https://doi.org/10.1007/s11018-022-02055-y

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