Analysis and compensation method for installation error in measuring gear tooth flank with laser interferometry

Fang, Suping; Zhu, Xindong; Yang, Pengcheng; Komori, Masaharu; Kubo, Akiharu

doi:10.1117/1.oe.53.8.084111

Cited by 13 publications

(8 citation statements)

References 8 publications

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“…Further investigated optical gear shape measurement approaches are based on interferometry. Fang et al measured the geometry of a tooth flank in 2014 and after compensation of installation deviations, the measurements are in good agreement with the reference geometry [ 14 ]. However, the deviations are not further specified and not discussed in terms of the challenges in optical gear shape metrology.…”

Section: Introductionmentioning

confidence: 84%

Gear Shape Measurement Potential of Laser Triangulation and Confocal-Chromatic Distance Sensors

Pillarz

Freyberg

Stöbener

et al. 2021

Sensors

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The demand for extensive gear shape measurements with single-digit µm uncertainty is growing. Tactile standard gear tests are precise but limited in speed. Recently, faster optical gear shape measurement systems have been examined. Optical gear shape measurements are challenging due to potential deviation sources such as the tilt angles between the surface normal and the sensor axis, the varying surface curvature, and the surface properties. Currently, the full potential of optical gear shape measurement systems is not known. Therefore, laser triangulation and confocal-chromatic gear shape measurements using a lateral scanning position measurement approach are studied. As a result of tooth flank standard measurements, random effects due to surface properties are identified to primarily dominate the achievable gear shape measurement uncertainty. The standard measurement uncertainty with the studied triangulation sensor amounts to >10 µm, which does not meet the requirements. The standard measurement uncertainty with the confocal-chromatic sensor is <6.5 µm. Furthermore, measurements on a spur gear show that multiple reflections do not influence the measurement uncertainty when measuring with the lateral scanning position measurement approach. Although commercial optical sensors are not designed for optical gear shape measurements, standard uncertainties of <10 µm are achievable for example with the applied confocal-chromatic sensor, which indicates the further potential for optical gear shape measurements.

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Section: Introductionmentioning

confidence: 84%

Gear Shape Measurement Potential of Laser Triangulation and Confocal-Chromatic Distance Sensors

Pillarz

Freyberg

Stöbener

et al. 2021

Sensors

View full text Add to dashboard Cite

show abstract

“…In the 1990s, Fujio built a test device based on laser interferometry to measure the tooth surface of an involute cylindrical spur gear [5]. In the last ten years, our research group has taken the helical gear tooth flank as the measurement object, we designed an accurate optical measurement system based on laser interference [6], we proposed a series of processing algorithms for a tooth interferogram [7], and we obtained the micron-level form deviation of the helical gear tooth flank [8]. These studies have proved the feasibility of measuring the form deviation of a tooth flank by laser interferometry.…”

Section: Introductionmentioning

confidence: 99%

Analysis and optimization of shielding in measuring helical gear tooth flank by laser interferometry

Zhu

Wang²,

Yang³

et al. 2022

Meas. Sci. Technol.

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Phase shifting laser interferometry is an effective method to measure the form error of helical gear tooth flank. However, in the measurement, part of the measurement light is inevitably shielded by adjacent tooth or its own structure, cannot be detected by the detector, resulting in the inability to collect complete tooth surface shape information. This problem restrains the practicality of measuring gear tooth flank by laser interferometry. An analysis method and optimal search algorithm for shielding are proposed, respectively, to collect complete tooth surface information of measured gear. Firstly, by proposing an analysis method of shielding based on ray–tracing, the measurable region of helical gear tooth flanks with common parameters are statistically analyzed. The variation law of main parameters and measurable region of common helical gear tooth surface is expounded. Secondly, in order to obtain the complete interferogram, an optimal search algorithm for shielding is proposed by changing the relative position between the measured gear and the measurement optical system. Finally, relevant simulation and experiments prove that the proposed analysis and optimization methods are feasible. Furthermore, when the oblique incidence method is used to measure the shielded precision complex surface, the proposed methods of analyzing and optimizing shielding can be used for reference, to realize the complete measurement of the measured surface.

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“…Besides triangulation, interferometry is also used for optical gear measurement. In 2014, Fang et al presented an interferometric measurement approach for capturing the geometry of gears [ 17 ]. Systematic deviations due to position deviations of the gears were compensated, so that results close to the reference were achieved.…”

Section: Introductionmentioning

confidence: 99%

Gear Shape Parameter Measurement Using a Model-Based Scanning Multi-Distance Measurement Approach

Pillarz

Freyberg

Fischer

2020

Sensors

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To reduce wind turbine failures by defective drive trains, deviations in the geometry of large gears (diameter ≳ 1 m) must be extensively determined with single-digit micrometer uncertainties. Fixed measuring volumes limit standard measuring methods like coordinate and gear measuring instruments for large gear measurements. Therefore, a model-based scanning multi-distance measurement approach for gear shape parameters is presented. The measurement approach has a scalable design and consists of a confocal-chromatic sensor, rotary table as a scanning unit and model-based signal processing. A preliminary study on a midsize spur gear demonstrates the general feasibility of the model-based scanning multi-distance measurement approach. As a result, the mean base circle radius as the fundamental gear shape parameter is determined with an uncertainty of <5 μm. The calibration and adjustment of the sensor arrangement were performed with a known calibration gear. Scalability is not experimentally validated in this article. However, simulations verify the scalability of the measurement approach in a first step. For gears with 1 m in diameter and varying tooth flank geometries, the estimated achievable uncertainty of the mean base circle radius is still <5 μm. Therefore, the model-based scanning multi-distance measurement approach is a promising alternative for gear inspection.

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Analysis and compensation method for installation error in measuring gear tooth flank with laser interferometry

Cited by 13 publications

References 8 publications

Gear Shape Measurement Potential of Laser Triangulation and Confocal-Chromatic Distance Sensors

Gear Shape Measurement Potential of Laser Triangulation and Confocal-Chromatic Distance Sensors

Analysis and optimization of shielding in measuring helical gear tooth flank by laser interferometry

Gear Shape Parameter Measurement Using a Model-Based Scanning Multi-Distance Measurement Approach

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