Articles | Volume 17, issue 1
https://doi.org/10.5194/ms-17-105-2026
https://doi.org/10.5194/ms-17-105-2026
Research article
 | 
11 Feb 2026
Research article |  | 11 Feb 2026

Dynamics of herringbone planetary gear systems under mesh excitations with random cumulative pitch errors

Ying Du, Lan Liu, Geng Liu, Haoqin Zhang, Bingxi Yan, and Bing Han

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Cited articles

Bi, Y., Dong, H., Liu, S.-S., Zhao, D.-N., Han, H., Zhang, D.-B., Hou, X.-Y., and Jin, G.-H.: Dynamic modeling and failure mechanism study of herringbone gear planetary transmission system for wind turbine under gear cracks, J. Renew. Sustain. Ener., 16, 055502, https://doi.org/10.1063/5.0231077, 2024. 
Chang, L., Liu, G., and Wu, L.: A robust model for determining the mesh stiffness of cylindrical gears, Mech. Mach. Theory, 87, 93–114, https://doi.org/10.1016/j.mechmachtheory.2014.11.019, 2015. 
Chang, L., Cao, X., He, Z., and Liu, G.: Load-related dynamic behaviors of a helical gear pair with tooth flank errors, J. Mech. Sci. Technol., 32, 1473–1487, https://doi.org/10.1007/s12206-018-0301-y, 2018. 
Chen, J., Zhu, R., Chen, W., Li, M., Yin, X., and Zhang, X.: Research on pitch error phase matching of herringbone star gear system considering multi-tooth with different backlash, Acta Mech. Sinica, 40, 523331, https://doi.org/10.1007/s10409-023-23331-x, 2024. 
Chen, J., Wan, Q., Zhu, R., and Chen, W.: Dynamic modeling and analysis of herringbone star gear system considering pin misalignment and error phase combination, Mech. Syst. Signal Pr., 224, 112243, https://doi.org/10.1016/j.ymssp.2024.112243, 2025. 
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Short summary
In this paper, an improved mesh excitation calculation method with random cumulative pitch errors is constructed, and a lumped-parameter model for the herringbone planetary gear system is established. Subsequently, the action of random cumulative pitch errors on mesh excitations under different loads is studied. Furthermore, the dynamic mesh forces for all mesh pairs of the herringbone planetary gear system are investigated in detail, considering the effects of random cumulative pitch errors.  
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