Tooth Form Evaluation Using Ball Artifact Development of a Measuring Instrument of a Ball Center Distance Traceable to National Standard of Length

Kondo, Yasuhiko; Sasajima, Kazuyuki; Noguchi, S.; Kondo, Koshi; Osawa, Sonko; Naoi, Kazuya; Takatsuji, Toshiyuki

doi:10.4028/www.scientific.net/kem.381-382.595

Cited by 8 publications

(3 citation statements)

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“…where P (m) (θ i ) is a curve obtained from the sum of multiples of the mth-order Fourier components of P(θ i ). Here, we subtract μ (θ i ) from M(θ i − ϕ j , ϕ j ) to obtain the following equation: Figure 8 shows the calculated result of the measurement curves for all orientations using equation (11). P(θ i ) can be obtained from the data for j = 1 (ϕ 1 = 0), although the statistical accuracy is not sufficient because only the data for j = 1 are used despite the measurement of m orientations.…”

Section: Improvement Of the Analysis Methodsmentioning

confidence: 99%

“…To obtain the calibration value of the pitch deviation, the angular pitch deviation P(θ i ), the radius of pitch ball r ci and the ball center distance C i should be calibrated. For the calibration of the DBA, a calibration method for r ci and C i has been reported [7,11]. The absolute values of these calibration parameters are not important because the pitch deviation is calculated from the relative difference between two balls.…”

Section: Mathematical Model Of the Pitch Deviationmentioning

confidence: 99%

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Traceability strategy for gear-pitch-measuring instruments: development and calibration of a multiball artifact

Kondo

Sasajima

Osawa

et al. 2009

Meas. Sci. Technol.

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There is a strong demand to ensure the traceability of gear-measuring instruments (GMIs). We propose a multiball artifact (MBA) for the evaluation of pitch-measuring accuracy. The aim of the MBA is to transfer the minimum uncertainty from a calibrated value at the National Metrology Institute of Japan (NMIJ) to a measured value of GMIs at a shop floor. The MBA is composed of equally spaced high-accuracy balls around an axis. The pitch-measuring accuracy of GMIs is evaluated by measuring the angular pitch deviation of the balls instead of the angular pitch deviation of a gear. We calibrated the angular pitch deviation using a coordinate measuring instrument (CMM) at the NMIJ and adapting a multiple-orientation technique. We proposed a calibration strategy of the angular pitch deviation. The calibration value of the pitch deviation for the MBA at the NMIJ was obtained with a measurement uncertainty (U95) of 0.2 µm. We evaluated the pitch-measuring accuracy of a GMI using the calibrated MBA. Each value of U95 for the cumulative and single pitch deviations for the left and right flanks was less than or equal to 0.5 µm. The small uncertainty was transferred from the NMIJ to the GMI.

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Section: Improvement Of the Analysis Methodsmentioning

confidence: 99%

Section: Mathematical Model Of the Pitch Deviationmentioning

confidence: 99%

Traceability strategy for gear-pitch-measuring instruments: development and calibration of a multiball artifact

Kondo

Sasajima

Osawa

et al. 2009

Meas. Sci. Technol.

Self Cite

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“…1,2 Considering the high processing difficulties of HIA, the double ball artefact (DBA), which allows the compensation, can be used to calibrate the measurement uncertainty of gear measuring instruments (GMI) or coordinate measuring machines (CMM) in some measurement institutes. [3][4][5][6][7] According to the report, German National Physical Laboratory (Physikalish-Technische Bundesansalt (PTB)) can develop HIA with profile form deviation f fa =0.5 mm, which is used to transfer the involute quantity value both in Germany and in other countries in Europe, 8 but no detailed processing techniques and methods about HIA are introduced. Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP), Chinese Academy of Sciences, can develop HIA with profile form deviation f fa =0.8 mm and its accuracy is superior to grade 1 according to ISO 1328-1:1995 by using the roller-rail generating mechanism.…”

Section: Introductionmentioning

confidence: 99%

Optimal forming principle and grinding experiment of the ultra-precision involute profile

Ling

Lou

Wang

et al. 2013

Proceedings of the Institution of Mechanical Engineers, Part B:

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The accuracy requirement of ultra-precision involute artefacts and master gears, which are used to calibrate the gear measuring machines, is increasing as power density increases; however, the complexities and specificities in the involute processing and measuring have been the bottleneck of manufacturing technique for high-grade involute artefacts and ultra-precision master gears. In order to develop the ultra-precision involute gear profile, related researches were conducted in this study. First, the manufacturing level of high-grade involute artefacts was introduced. Then, the forming principle of the involute was discussed, and the roller–rail type and cam–baffle type of mechanical generating mechanism with little effects of driving accuracy on generating accuracy and less error sources were pointed out. Finally, the double roller–rail type of grinding and measuring devices for high-grade involute artefacts were designed according to the optimal forming principle of the involute, and a precision grinding experiment on an involute cam (a kind of high-grade involute artefacts) was conducted. The measured results show that the total profile deviation is not more than 0.6 µm and the profile form deviation is less than 0.4 µm in 105 mm generating length of the specimen. By using the refined involute cam and gear grinder with cam–baffle type of mechanical generating mechanism, a precision grinding experiment on the specimen of a master gear was conducted. The experimental results verify that the roller–rail type of mechanical generating mechanism has the processing capacity of high-grade involute artefacts with submicron-level profile accuracy and the refined gear grinder with cam–baffle type of mechanical generating mechanism has the processing capacity of ultra-precision master gear with grade-1 profile accuracy.

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Cylindrical Gear Metrology

Ni¹,

Yue²,

Stöbener³

et al. 2019

Precision Manufacturing

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Tooth Form Evaluation Using Ball Artifact Development of a Measuring Instrument of a Ball Center Distance Traceable to National Standard of Length

Cited by 8 publications

References 0 publications

Traceability strategy for gear-pitch-measuring instruments: development and calibration of a multiball artifact

Traceability strategy for gear-pitch-measuring instruments: development and calibration of a multiball artifact

Optimal forming principle and grinding experiment of the ultra-precision involute profile

Cylindrical Gear Metrology

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