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        Two-Sided Contact Mesh Stiffness and Transmission Error for a Type of Backlash-Compensated Conical Involute Gear Pair

        Shuaidong Zou,Guangjian Wang,Yujiang Jiang 한국정밀공학회 2020 International Journal of Precision Engineering and Vol.21 No.7

        Both the drive- and back-side contact mesh stiff nesses (two-sided contact mesh stiff ness) for a new type of conical involute gear (NTCIG) is developed analytically. Instead of the conventional spring preload anti-backlash method, an active control strategy to eliminate the time-varying backlash is presented by adjusting the axial displacement of the driven gear. The dynamic transmission error (DTE) of the gear pair is calculated under different load excitations to analyze the differences between the drive- and back-side meshes under a time-varying backlash with anti-backlash conditions based on the NTCIG model with an eccentricity error. Considering the additional rotational angle caused by the anti-backlash and the differences from the two-sided contact, the theory of no-load transmission error for the NTCIG is modified by agreeing considerably well with the low component of the DTE. Moreover, the DTE curve under varying load excitations showed that the dynamics of the NTCIG improved considerably after backlash compensation. The drive- and back-side tooth meshes were analyzed according to the DTE of NTCIG with backlash control under various external excitations at different speeds and variable initial phases, frequencies, and amplitudes of the sinusoidal load.

      • KCI등재

        The Experimental Research on Gear Eccentricity Error of Backlash-Compensation Gear Device Based on Transmission Error

        Li Yu,Guangjian Wang,Shuaidong Zou 한국정밀공학회 2018 International Journal of Precision Engineering and Vol.19 No.1

        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.

      • KCI등재

        Time-varying meshing stiffness calculation of an internal gear pair with small tooth number difference by considering the multi-tooth contact problem

        Guangjian Wang,Qing Luo,Shuaidong Zou 대한기계학회 2021 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.35 No.9

        Due to the multiple tooth contact problem involving internal gear pair with small tooth number difference (IGPSTND), the existing analytical methods applied for standard spur or helix gear pairs to calculate the time-varying meshing stiffness (TVMS) are not suitable. In this paper, two methods are proposed for calculating the time-varying meshing stiffness in internal gear pairs with small tooth difference. In the first method, an analytical model is established by using the potential energy method, considering the clearance of initial contact tooth and the external load. The second method proposes the application of a hybrid finite elementanalytical method. The proposed two methods are validated by the application of the finite element method. By taking the results of finite element analysis as a comparative reference, the results show that the finite element - analytical method is closer to the reference results than the results obtained by the analytical method, and both methods are less computationally expensive than finite element analysis.

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