Abstract
Pitch error is inevitable in gear machining, and it will aggravate the vibration and noise of the herringbone star gear train (HSGT). Although the machining accuracy is limited, the dynamic performance of the system can be further improved by appropriately combining the error phases. In this work, according to the periodicity of the pitch error and its influence on the backlash, the different backlash formed by the meshing tooth pairs during the transmission is deduced, then the meshing state and error excitation force of each tooth pair are considered, respectively. A new dynamic model of HSGT considering multi-tooth with different backlash under the influence of pitch error is established, and the reliability of the model is verified by the vibration experiment of the gearbox. Based on the proposed model, the influence mechanism of the error phase adjustment on two-sides of the herringbone center gear on the load-sharing performance is analyzed, and the optimal error phase combination of three parallel star gears is explored. When the pitch error value is constant, this research can guide the error phases combination of each herringbone gear in the HSGT, thereby reducing the vibration and improving the load-sharing performance of the system.
摘要
在加工过程中, 齿轮不可避免地会产生齿距误差, 这会加剧人字星型齿轮系统(HSGT)的振动和噪声. 尽管加工精度是有限的, 但通过适当的组合误差相位可以进一步提高系统的动态性能. 本工作中, 根据齿距误差的周期性及其对间隙的影响, 推导了传动过程中啮合齿对形成的不同齿隙, 然后分别考虑各齿对的啮合状态和误差激振力. 建立了在齿距误差影响下含有多齿不同间隙的HSGT动力学模型, 并通过齿轮箱振动实验验证了该模型的可靠性. 基于该模型分析了人字中心齿轮两侧误差相位的调整对均载性能的影响机理, 探索了三个平行星型齿轮最优的误差相位组合. 当齿距误差值一定时, 本研究可以指导HSGT中各人字齿轮误差相位的组合, 从而减少振动, 提高系统的均载性能.
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Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant No. 52275061).
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Author contributions Jiajun Chen carried out specific research, built the mathematical model and analyzed it, and wrote the original draft. Rupeng Zhu formulated overarching research goals and supported the development and design of methodology. Weifang Chen and Miaomiao Li performed the experimental verification work and supported the writing of the original draft. Xunmin Yin received financial support for this research, and supervised the execution of research activities. Xiaoxu Zhang reviewed and edited the writing, and supported the translation.
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Chen, J., Zhu, R., Chen, W. et al. Research on pitch error phase matching of herringbone star gear system considering multi-tooth with different backlash. Acta Mech. Sin. 40, 523331 (2024). https://doi.org/10.1007/s10409-023-23331-x
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DOI: https://doi.org/10.1007/s10409-023-23331-x