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A novel dynamic modeling method with slice coupling for thin-rimmed gear transmission

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Abstract

The development of gear toward lightweight means that the gear body flexibility grows, which will lead to a series of dynamic problems for the thin-rimmed gear transmission and increase the vibration and noise of gear transmission. Therefore, a novel dynamic model is proposed that can reflect the structural flexibility of the thin-rimmed gear. In this model, the gear teeth are first sliced along the tooth width direction, and the time-varying mesh stiffness of the gear pair for each slice of all the gear teeth is calculated. Then, the dedendum circle surfaces of each tooth on the gear body are divided, and remote points are established on the divided surfaces and gear shaft; the condensed finite element models (FEMs) of the gear body are established considering the centrifugal and inertia forces, and the housing FEMs are established as well. Subsequently, the flexible deformations of the divided surfaces on the gear body are extracted and converted to the actual meshing point to obtain the system meshing force and meshing moment by multiplying by the meshing stiffness. These results are then returned to the FEMs, and a thin-rimmed gear transmission dynamics model is established finally. By comparing simulation and experimental results, the model is validated. The effects of gear body flexible deformation, centrifugal force, gear parameters, and manufacturing errors on the system dynamics are studied. The proposed model provides constructive guidance for high-speed thin-rimmed gear high performance design and manufacturing.

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Funding

This research work was supported by the National Key Research and Development Plan (Grant No. 2020YFB2008102), Chongqing Natural Science Foundation General Project(CSTB2023NSCQ-MSX0085), Jiangsu Province Innovation and Entrepreneurship Team Project Number (Grant No. JSSCTD202239), Research and industrialization of intelligent transmission for construction machinery adapting to complex working environments (Grant No. BA2022033).

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Authors and Affiliations

  1. State Key Laboratory of Mechanical Transmissions, Chongqing University, Chongqing, 400044, China

    Jiayu Zheng, Datong Qin & Changzhao Liu

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  1. Jiayu Zheng
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  2. Datong Qin
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  3. Changzhao Liu
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Correspondence to Changzhao Liu.

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Zheng, J., Qin, D. & Liu, C. A novel dynamic modeling method with slice coupling for thin-rimmed gear transmission. Acta Mech 234, 6097–6121 (2023). https://doi.org/10.1007/s00707-023-03702-3

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  • DOI: https://doi.org/10.1007/s00707-023-03702-3

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