Gear and Bearing Dynamics Analysis Open access Peer reviewed

Investigation on dynamic characteristics of herringbone planetary gear transmission system with staggered tooth phase

Shaoshuai Hou, Haichao Ye, Derong Zhu, Shijie Zhang and 3 more

PLoS ONE | Jul 21, 2026

Abstract

Abstract

Vibration and noise are critical indicators that directly affect the transmission characteristics of planetary gearboxes. Consequently, the suppression of vibration and noise has emerged as a major research focus in this field. This paper investigates the meshing mechanism of herringbone planetary gear systems with staggered tooth phase (STP), and derives the analytical formulation for calculating the time-varying mesh stiffness (TVMS) of such gear configurations. In addition, it examines the correlation between the staggered tooth phase angle (STPA) and the system vibration response, as well as the dynamic effects induced by variations in rotational speed and different types of tooth profile errors. The results demonstrate that the implementation of STP could substantially enhance the vibration characteristics of herringbone planetary gear systems. Furthermore, among various tooth profile errors, the single tooth tangential error (STTE) is identified as the dominant factor governing vibration.

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Authors

Researchers on this paper

Shaoshuai Hou

first | Luoyang Institute of Science and Technology | ORCID 0000-0001-5490-2964

Haichao Ye

middle | Luoyang Institute of Science and Technology

Derong Zhu

middle | Luoyang Institute of Science and Technology

Shijie Zhang

middle | Luoyang Normal University

J Li

middle | Luoyang Institute of Science and Technology

Ming Xia

middle | Luoyang Institute of Science and Technology | ORCID 0000-0002-5986-0764

Sicheng He

last | Luoyang Institute of Science and Technology

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Citation

BibTeX

@article{Hou2026Investigation,
  title = {Investigation on dynamic characteristics of herringbone planetary gear transmission system with staggered tooth phase},
  author = {Shaoshuai Hou and Haichao Ye and Derong Zhu and Shijie Zhang and J Li and Ming Xia and Sicheng He},
  journal = {PLoS ONE},
  year = {2026},
  doi = {10.1371/journal.pone.0354177},
  url = {https://doi.org/10.1371/journal.pone.0354177}
}

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