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        The bending-torsional vibration characteristics of gear transmission under the effect of tooth surface roughness

        Zaida Gao,Shengping Fu,Shengbo Li 대한기계학회 2023 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.37 No.12

        A correlation was established between the sample length and gear speed, and time-varying roughness characteristics were recorded at specific speeds (referred to as timevarying roughness). We investigated how the measured tooth surface roughness influences both the gear errors and the tooth surface friction coefficient. The mathematical representation of the measured roughness was illustrated using statistical analysis procedures. Drawing from fractal theory, we developed a gear error correction model that considers the effects of the time-varying roughness. We introduced a correction mechanism for both time-varying roughness and error into the Xu model. Additionally, we presented a method to calculate the tooth friction coefficients while taking into account the statistical characteristics of tooth surface topography. A numerical analysis was then carried out to investigate the effect of time-varying roughness and gear error on the tooth friction coefficient. Taking into account the influence of the measured tooth surface roughness, we built a gear analysis model by applying the lumped mass method. The effects of the measured roughness on the gear transmission process were analyzed using numerical analysis. A bench test was designed and executed to evaluate the vibration traits of the gear system. The maximum discrepancy between the test and numerical outcomes was 25.21 %. This article provides theoretical and data support for the dynamically optimal design of gear transmissions.

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        Meshing principle and characteristics analysis of an abnormal cycloidal internal gear transmission

        Jingyu Mo,Shanming Luo,Shengping Fu,Xuefeng Chang 대한기계학회 2022 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.36 No.10

        A novel 2K-H internal meshing abnormal cycloidal gear (ACG) planetary reducer is proposed to tackle the rotor vector (RV) reducer problems, such as complex overpositioning structure, high manufacturing and assembly accuracy requirements. The composite tooth profile of epicycloid-involute-hypocycloid is adopted as the tooth profile of the reducer. The aim of this study was to investigate the meshing principle of such gear and evaluate its transmission characteristics. The meshing principle of tooth profile of the ACG is described. According to the gear geometry theory, the mathematical model of conjugate tooth profile of ACG pair was derived based on the contact path. And the influence of design parameters on the ACG tooth profile were also carried out. Moreover, the non-interference condition of the ACG pair was derived, and then meshing characteristics of the ACG pair were analyzed by numerical example, such as contact ratio, sliding ratio, and meshing efficiency. The bending and contact stresses of the ACG pair were also evaluated by comparing with those of involute pair. The results show that, the ACG has good transmission characteristics, such as small sliding ratio, high transmission efficiency. Compared with the involute gear, the bending and contact stresses of the ACG are reduced. The study lays a theoretical foundation for the optimization design of the ACG and the improved reliability of the ACG reducer.

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