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The experimental research on gear eccentricity error of backlash-compensation gear device based on transmission error

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Abstract

Backlash compensation is a research focus in precision gear transmission, and eccentricity error is the main factor which leads to transmission error(TE) with large period and periodically variable backlash in gear transmission, therefore, the eccentricity of gear has to be considered in anti-backlash. Firstly, the dual-eccentricity model for calculating the transmission error caused by eccentricity errors of gears is presented based on external parallel-axes gear transmission. Then, the tests are carried out at different input speed and initial starts for acquiring transmission error of the designed backlash compensation device, and the eccentricity error of the gear is identified from the testing data of transmission error by curve fitting based on the calculation model. Both the value and phase of the fitting eccentricity error are well coincident with the calculating model. Finally, the fast Fourier transform (FFT) is also employed to analyze the value of the eccentricity error. The results of the FFT are closed to the fitting values. The work is helpful for obtaining the eccentricity error of gear from the testing results of transmission error, which is useful for forecasting the TE caused by eccentricity error and provides important reference for backlash compensation and control.

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Abbreviations

R2:

radius of pitch circle of gear

e1:

eccentricity error of pinion

e2:

eccentricity error of gear

i :

transmission ratio

α:

engagement angle of pitch circle

γ 1 :

the variation of the initial phase of eccentricity error of pinion

γ 2 :

the variation of the initial phase of eccentricity error of gear

θ 1 :

actual phase of eccentricity error of pinion

θ 2 :

actual phase of eccentricity error of gear

φ 1 :

rotating angle of pinion

φ 2 :

rotating angle of gear

ΔF1:

the variation along the line of action when pinion has eccentricity error

ΔF2:

the variation along the line of action when gear has eccentricity error

ΔFΣ:

the variation along the line of action when pinion and gear have eccentricity error

Δφ:

transmission error

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Authors and Affiliations

  1. State Key Laboratory of Mechanical Transmission, Chongqing University, No. 174, Shazhengjie, Shapingba, Chongqing, 400044, China

    Li Yu, Guangjian Wang & Shuaidong Zou

  2. College of Mechanical Engineering, Chongqing University, Chongqing, China

    Li Yu & Shuaidong Zou

  3. College of Automotive Engineering, Chongqing University, Chongqing, China

    Guangjian Wang

Authors
  1. Li Yu
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  2. Guangjian Wang
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  3. Shuaidong Zou
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Correspondence to Guangjian Wang.

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Yu, L., Wang, G. & Zou, S. The experimental research on gear eccentricity error of backlash-compensation gear device based on transmission error. Int. J. Precis. Eng. Manuf. 19, 5–12 (2018). https://doi.org/10.1007/s12541-018-0001-7

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  • DOI: https://doi.org/10.1007/s12541-018-0001-7

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