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A novel analytical model for evaluating the time-varying meshing stiffness of helical gears under irregular pitting failure

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Abstract

Helical gear teeth are subject to spalling, pitting and other failures under prolonged operation, which can contribute to a reduction in the time-varying meshing stiffness (TVMS) of the gear. The shape of the depression formed by the absence of the gear tooth surface is irregular in practice. Firstly, an irregular-shaped pitting model is constructed by the slicing method. On the premise of improving the transition curve, the TVMS calculation equations under the irregular pitting model are derived considering the effect of axial stiffness. Then, a randomly distributed tooth surface pitting evolution model was established by the random pitting generation function, and the effects of three different failure degrees from slight to severe pitting on the TVMS are evaluated. Eventually, the faulty helical gear pairs are constructed in Solidworks and simulated by the finite element method (FEM), verifying that the irregular pitting evolution model and calculation method proposed in this paper are effective.

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Funding

This work was supported in part by the National Natural Science Foundation of China under Grant 52075470, in part by the Central government guides local science and technology development Foundation under Grant 206Z4301G, in part by the introduction of foreign intellectual project of Hebei Province, in part by the Cultivation Project for Basic Research and Innovation of Yanshan University under Grant 2021LGZD006.

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Authors and Affiliations

  1. Yanshan University, Qinhuangdao, People’s Republic of China

    Zong Meng, Xiushen Pang, Guoqing Hao, Yesen Jin, Jimeng Li & Fengjie Fan

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  1. Zong Meng
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Correspondence to Fengjie Fan.

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Meng, Z., Pang, X., Hao, G. et al. A novel analytical model for evaluating the time-varying meshing stiffness of helical gears under irregular pitting failure. Arch Appl Mech 93, 3775–3795 (2023). https://doi.org/10.1007/s00419-023-02460-x

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