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Collision dynamics of gear meshing with multi-clearance and multi-state under friction consideration

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Abstract

The gear acts as the most important transmission, and it has played a vital role in various fields in the industry. The clearance is inevitable in the gear transmission, which is an important factor in the meshing force and vibration characteristics of the gear in the engagement process. The gear collision kinetics model containing friction-containing multi-gap, multi-state meshing is established according to the clearance and the change of the collision force. The paper uses finite element method and Fourier grade numerical calculation and fitting meshing stiffness. At the same time, the dynamic equations of the gear system with friction in the tooth forward-meshing state, tooth snapping-meshing state, and tooth back-meshing state are derived. The introduction of nonlinear collision contact theory describes the rigidity and damping coefficients of bearings and gears during collision. The effects of different parameters on dynamic meshing force, vibration characteristics, and system stability are studied and analyzed. The study found that the gear meshing stability was greatly disturbed by the backlash and bearing clearance variation. In the alternating process of meshing state, the change of external load not only affects the amplitude in the meshing process of the system, but also leads to the meshing force mutation. The change of friction coefficient has a greater impact on dynamic meshing force. Different impact damping coefficients have a great influence on the gear vibration and meshing force. It is emphasized that the change of impact damping between teeth and bearing has the opposite effect on the system.

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Funding

The work was supported by National Key R&D Program of China (2019YFB2004601), and National Natural Science Foundation of China (52075312).

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  1. Shanghai Key Laboratory of Intelligent Manufacturing and Robotics, School of Mechatronic Engineering and Automation, Shanghai University, 99 Shangda Rd, Shanghai, 200444, China

    Rui Yu & Bin He

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  1. Rui Yu
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  2. Bin He
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Contributions

Rui Yu: formal analysis, data curation, investigation, visualization, validation, writing—review and editing, resources. Bin He: conceptualization, methodology, project administration, supervision, funding acquisition, writing original draft.

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Correspondence to Bin He.

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Yu, R., He, B. Collision dynamics of gear meshing with multi-clearance and multi-state under friction consideration. Int J Adv Manuf Technol 120, 5073–5091 (2022). https://doi.org/10.1007/s00170-022-08975-x

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