Influence of module on measurement uncertainty of gear tooth profile deviation on gear measuring center

Yin, Peili; Han, Fanbin; Wang, Jianhua; Lu, Chunxia

doi:10.1016/j.measurement.2021.109688

Cited by 16 publications

(8 citation statements)

References 20 publications

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“…At present, in the research field of measurement uncertainty, the evaluation methods of measurement uncertainty mainly include the Sensitivity Coefficient Analysis (GUM method), the use of calibrated workpieces, and the computer simulation method. 17 Various errors contribute to gear measurement uncertainty. The gear measurement uncertainty is usually substituted as the uncertainty of the instrument, but the gear parameters also have an impact on the gear measurement uncertainty.…”

Section: Numerical Calculation and Accuracy Distributionmentioning

confidence: 99%

“…In addition, the measurement uncertainty model of gear tooth profile coupling geometric error and installation error on DTGMC was established using the gear parameter module as the factor of measurement uncertainty evaluation. 17 However, it should be noted that the digital twin is not an exact replica of the actual gear measuring center; rather, it is a computer program that measures digital workpieces instead of physical ones. Another method utilizes the principles of multi-body system theory to establish topological and geometric error models, which have found wide application in equipment such as CNC machine tools.…”

Section: Introductionmentioning

confidence: 99%

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Spatial error modeling and accuracy distribution of line laser gear measuring center

Zhang,

Yang,

Liu

2023

Measurement and Control

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The Line laser gear measuring center (LLGMC) is an innovative gear measurement equipment that offers high efficiency but low accuracy. One crucial factor that influences its measurement accuracy is the presence of geometric errors. In this study, we conducted a thorough analysis of these geometric errors and proposed a method for modeling spatial errors. Instead of directly considering the geometric errors, we replaced them with the installation errors of the gear and line laser probe. This approach simplifies and improves the error transmission relationship. Subsequently, the installation errors are converted into a unified representation of the height error of the incident light from the line laser. A spatial error model that considers nine installation errors is then further established. By numerically calculating the sensitivity of different error sources, we effectively identified the errors that have a significant impact on the accuracy of LLGMC. Moreover, accuracy distribution is carried out to ensure that LLGMC can meet the measurement accuracy requirements for gears with a tolerance class of 6. This article provides a theoretical foundation for the structural design and accuracy assurance of LLGMC during the research and development phase.

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Section: Numerical Calculation and Accuracy Distributionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Spatial error modeling and accuracy distribution of line laser gear measuring center

Zhang,

Yang,

Liu

2023

Measurement and Control

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“…Single-flank testing of gear is a typical way to measure the transmission deviation of gears. The difference between the actual and theoretical rotation angles of the measured gears is defined as transmission deviation [4][5][6][7]. The measured gear is driven in single-flank meshing status with backlash under the nominal center distance by master gear (master gear can be replaced by standard worm, standard rack and other measuring elements).…”

Section: Measuring Principle Of Gear Tangential Composite Deviationmentioning

confidence: 99%

Research on an Improved Sliding Extracting Algorithm of Composite Deviation for Wind Turbine Gear

Zhang

Haofang²,

Gao³

2022

J. Phys.: Conf. Ser.

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One tooth radial composite deviation and one tooth tangential composite deviation are important parameters of wind turbine gears whose operation life cycle can be influenced. An improved sliding extracting algorithm of composite deviation is proposed. It just only calculates those parts that need to be recalculated, avoids a large number of invalid searching calculations, and greatly improves the efficiency. The experimental results show that the improved sliding extracting algorithm of composite deviation has the same results as the traditional extracting algorithm, and the efficiency of the extracting algorithm is improved nearly 100 times. The improved sliding extracting algorithm of total composite deviation is proposed in this paper, and theoretically the algorithm efficiency is one time than traditional algorithm. The algorithms proposed in this paper can improve the efficiency of radial composite deviation and tangential composite deviation, and can be applied to gear singleflank rolling tester and gear double-flank rolling tester, especially in wind turbine gear field.

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“…Define the known tooth profile deviation as the relative deviation between the actual and theoretical tooth profiles [18]. The deviation is parallel to the end plane of the gear and perpendicular to the theoretical tooth profile involute of the plane in which it is located.…”

Section: Analysis Of the Tooth Profile Deviation On A Single Sectionmentioning

confidence: 99%

Precise Measurement and Visual Expression of Gear Overall Deviation

et al. 2022

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This paper proposes a non-contact measurement, analysis, and visualization method for the overall deviation of gears based on a laser displacement sensor. We implement error compensation and coordinate transformation on the tooth profile data collected by the laser probe through an algorithm, and fit all the data points to the gear surface using a 3 × 3 degree spline function. According to the established actual surface model of the gear, the tooth profile curve on any section of the gear and its various deviations can be obtained. To find the overall deviation on the tooth profile surface, the deviation data is refined and fitted into a curved surface by the Newton difference method. The overall deviation can be represented on the gear surface in the form of a color map, and then the color map of the overall deviation of the gear can be obtained. In addition, it can intuitively analyze the distribution of the overall deviation on the gear surface, and realize the visual expression of the deviation. Finally, through experimental verification, we prove that this method can quickly and accurately analyze the various deviations of the gears and the distribution of the deviation, and can effectively improve the detection accuracy and efficiency of the gears.

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Influence of module on measurement uncertainty of gear tooth profile deviation on gear measuring center

Cited by 16 publications

References 20 publications

Spatial error modeling and accuracy distribution of line laser gear measuring center

Spatial error modeling and accuracy distribution of line laser gear measuring center

Research on an Improved Sliding Extracting Algorithm of Composite Deviation for Wind Turbine Gear

Precise Measurement and Visual Expression of Gear Overall Deviation

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