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A novel modeling method for evaluating the time-varying mesh stiffness of gears with pitting based on point cloud processing algorithm

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Abstract

The research on the time-varying meshing stiffness (TVMS) of gears provides a theoretical basis for the extraction of fault features. Pitting is a common tooth surface fault that has a significant effect on the TVMS. In this paper, a modeling method for evaluating the TVMS of gears with irregular-shaped pitting is proposed to replace the previous modeling methods by which pitting is reduced to simple geometry such as rectangles and cylinders. By the proposed method, the irregular-shaped pitting in analytical models can be matched with that of real objects and 3-D models in CAD software. Firstly, referring to the idea of reverse modeling in reverse engineering, the point cloud is used to map the real objects and 3-D models in CAD software to the analytical models. And a special point cloud processing algorithm is proposed to accurately calculate the TVMS. Then the coupling between multiple teeth with pitting is further investigated. The distribution and expansion of pitting are assumed to be 2-D normal distribution and random expansion. In addition, a complete system is established by taking into account of the gear body structure coupling effect, the nonlinear Hertzian contact stiffness, the accurate transition curve, and the tooth profile modification. Eventually, validation and discussion are conducted and it is demonstrated that the TVMS obtained by the proposed method is largely consistent with that calculated by the finite element method.

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Acknowledgements

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 226Z2101G, in part by the High Level Personnel Funding Project of Hebei Province under Grant A202102001, in part by the Cultivation Project for Basic Research and Innovation of Yanshan University under Grant 2021LGZD006.

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  1. Yanshan University, Qinhuangdao, 066004, People’s Republic of China

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

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Meng, Z., Hao, G., Pang, X. et al. A novel modeling method for evaluating the time-varying mesh stiffness of gears with pitting based on point cloud processing algorithm. Meccanica 58, 1465–1494 (2023). https://doi.org/10.1007/s11012-023-01674-1

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