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Mesh excitations of spur gear considering strong correlation among tooth contact parameters, contact force, and tooth profile deviations

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Abstract

Gear mesh excitations are widely concerned in the dynamic studies of the gear transmission system. Meanwhile, intentional and unintentional tooth profile deviations often occur in gears. At present, the established calculation models of gear mesh excitations consider tooth profile deviations as displacement excitation. However, gear mesh excitations calculated by such models have reduced stability compared with the actual situation. Therefore, in this study, an improved analytical model of gear mesh excitations with tooth profile deviations is established. This established model considers tooth profile deviations, extended tooth contact, and the structure coupling effect of the gear body simultaneously. More importantly, the model considers the strong correlation among tooth contact parameters, contact force, and tooth profile deviations to better reflect the actual gear mesh. A calculation flowchart with a simple calculation method of contact forces is also proposed to calculate the gear mesh excitations. Finally, the effects of tooth profile deviations on gear mesh excitations are studied. The results show that the effects of tooth profile deviations on tooth contact position, the direction of contact force, and equivalent basic circle radii should be considered in the calculation of gear mesh excitations because of smaller system transmission errors, larger double-teeth meshing area, and slighter extended tooth contact. Tooth profile deviations also cause jumps in tooth contact position and time-varying mesh stiffness. Thus, our findings show that the proposed model can be used to calculate the gear mesh excitations more accurately when the tooth profile deviates greatly.

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Correspondence to ZaiGang Chen.

Additional information

This work was supported by the National Key Rrsearch and Development Program of China (Grant No. 2022YFB3402100) and the National Natural Science Foundation of China (Grant Nos. 52022083 and 52275132).

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The supporting information is available online at tech.scichina.com and link.springer.com. The supporting materials are published as submitted, without typesetting or editing. The responsibility for scientific accuracy and content remains entirely with the authors.

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Li, Z., Chen, Z. & Zhai, W. Mesh excitations of spur gear considering strong correlation among tooth contact parameters, contact force, and tooth profile deviations. Sci. China Technol. Sci. 66, 2500–2516 (2023). https://doi.org/10.1007/s11431-023-2406-3

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  • DOI: https://doi.org/10.1007/s11431-023-2406-3

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