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.

中文翻译：

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基于传动误差的反冲补偿齿轮装置齿轮偏心误差的实验研究

间隙补偿是精密齿轮传动领域的研究重点，偏心误差是导致齿轮传动周期大且周期性变化的间隙的主要传动误差（TE）的主要因素，因此，在防反齿轮中必须考虑齿轮的偏心距。强烈反对。首先，提出了基于外部平行轴齿轮传动的双偏心模型，该模型用于计算齿轮的偏心误差引起的传动误差。然后，在不同的输入速度和初始起动下进行测试，以获取所设计的齿隙补偿装置的传动误差，并基于计算模型通过曲线拟合从传动误差的测试数据中识别出齿轮的偏心误差。拟合偏心误差的值和相位都与计算模型非常吻合。最后，还使用快速傅立叶变换（FFT）来分析偏心误差的值。FFT的结果接近拟合值。这项工作有助于从传动误差的测试结果中获得齿轮的偏心误差，这对于预测由偏心误差引起的TE有帮助，并为反冲补偿和控制提供重要参考。