Theoretical Method for Calculating the Unit Curve of Gear Integrated Error

Shi, Zhaoyao; Wang, Xiaoyi; Shu, Zanhui

doi:10.1115/1.4032400

Cited by 7 publications

(4 citation statements)

References 14 publications

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“…Therefore, using the numerical integration method of discrete points, the acceleration signal of vibration can be integrated twice and the vibration displacement signal can be obtained. The vibration displacement signals in the three directions are shown in Figure 17, which are integrated by using the equation (12). The integral formula shows that the integral of the discrete vibration signal can be the vibration displacement signal.…”

Section: Analysis Of the Test Resultsmentioning

confidence: 99%

“…Pairing of involute cylindrical gears is the most convenient way to solve the reasonable use of large amounts of product gears. It is also an effective way to control gear vibration and noise in order to improve gear transmission quality [11,12]. At present, some gearbox manufacturers in Japan use gears after appropriate matching, and the comprehensive evaluation of the gear design and processing is adopted by detecting the effect of matching.…”

Section: Introductionmentioning

confidence: 99%

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Development of gear dynamic performance testing machine

Li¹,

Yu²,

Shi³

et al. 2021

Int. J. Metrol. Qual. Eng.

Self Cite

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With the development of gears towards high temperature, high pressure, high speed and high stress, gear measurement, in which only the static geometric accuracy is considered, is unable to meet the current application requirements. While, the low precision and single function gear tester constrains the measurement of gear dynamic performance. For the resolution of this problem, based on the principle of gear system dynamics and several precision mechanical design techniques, a gear dynamic testing machine has been developed, providing new instruments for gear testing. On the basis of research of the principle of dynamic performance test, the primary measurement items of the testing machine have been determined. The measuring principles of each item and the driving and loading form of the testing machine have been examined. The measurement and control system of the testing machine and its corresponding software have been developed. The instrument can not only obtain the static precision index of the gear, but also obtain the dynamic performance index of the gear in variable working conditions. According to the actual test, the uncertainty of instrument is 3.8 μm and the external disturbance caused by the shaft vibration is less than 0.6 μm, which can meet the 5–6 grade precision gear testing requirement.

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Section: Analysis Of the Test Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Development of gear dynamic performance testing machine

Li¹,

Yu²,

Shi³

et al. 2021

Int. J. Metrol. Qual. Eng.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Besides the single flank tester, the gear integrated error measuring instrument can also be used to measure TE [12]. With this instrument, the unit curves of the gear integrated error of each tooth can be obtained by meshing with the standard tooth-skipped worm with the gear [13], [14]. The envelope of all the unit curves of the gear integrated error is the TE curve.…”

Section: Introductionmentioning

confidence: 99%

A Virtual Measurement Method of the Transmission Error Based on Point Clouds of the Gear

Kou

Shi

et al. 2022

Measurement Science Review

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As the most widely used gear measuring instrument, the gear measuring center can measure the individual deviations of a gear tooth flank other than the comprehensive deviations of the gear. However, gear transmission error is an important transmission performance indicator in the gear meshing process. It is an important trend of gear measuring to obtain the transmission error from individual deviations. In this study, a calculation method of gear transmission error is proposed based on the point clouds of the gear obtained by optical sensors. According to the gear meshing principle, a method is introduced to determine the contact status between the tooth flanks formed by the point clouds. According to this introduced method, the single tooth pair meshing process and the meshing process of multiple tooth pairs are analyzed to determine the gear transmission error curve. The comparison results of tooth contact analysis and gear measurement experiments verify the proposed virtual measurement method.

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“…In addition, some researchers have studied the gear meshing performance of other planetary reducers. Shi et al [13] introduced the optimization algorithm to replace the solving of implicit differential equations of the conventional tooth contact analysis (TCA) method, which is clearer and more convenient than the conventional TCA methods in calculating the GIE unit curve. Yang et al [14] proposed a new dynamic analysis to improve high-order transmission errors of spiral bevel and hypoid gears.…”

Section: Introductionmentioning

confidence: 99%

Meshing contact analysis of cycloidal-pin gear in RV reducer considering the influence of manufacturing error

Tian

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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The manufacturing error of cycloid gear is the key factor affecting the transmission precision and meshing characteristics of cycloidal-pin gear in RV reducer. Taking the RV cycloidal-pin gear pair transmission as the object, a meshing contact analysis method is proposed for RV cycloidal-pin gear transmission considering the influence of manufacturing error. The modified tooth profile of cycloid gear is effectively superimposed and transformed by taking the influence of tooth profile and pitch errors of cycloidal gear into consideration, and the theoretical contact analysis model of cycloidal-pin gear transmission is established. By analyzing and solving the meshing contact model, the characteristic parameters such as the meshing point position, meshing backlash and transmission error of cycloidal-pin gear between the meshing contact surfaces are obtained under the influence of manufacturing error, and the effective pre-control of the tooth profile and the meshing contact performance is realized. The verification analysis results show that the manufacturing error has a great influence on the transmission accuracy of RV cycloidal-pin gear, among which the tooth pitch error has the greatest influence on the transmission error, which is in a positive proportion. And the influence of tooth profile error on transmission error is second. The meshing contact analysis method considers the interactive influence of the manufacturing error and modification shape of tooth profile on the meshing contact status of RV transmission; the cycloidal tooth profile can be obtained which is more suitable for engineering practice. This analysis method can provide the theoretical support and technical means for profile modification design, motion accuracy improvement and load-bearing contact analysis of RV transmission.

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Theoretical Method for Calculating the Unit Curve of Gear Integrated Error

Cited by 7 publications

References 14 publications

Development of gear dynamic performance testing machine

Development of gear dynamic performance testing machine

A Virtual Measurement Method of the Transmission Error Based on Point Clouds of the Gear

Meshing contact analysis of cycloidal-pin gear in RV reducer considering the influence of manufacturing error

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