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Calculation Method of Dynamic Stress of Flexible Ring Gear and Dynamic Characteristics Analysis of Thin-Walled Ring Gear of Planetary Gear Train

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Abstract

Purpose

This work presents an analysis method for the vibration and stress characteristics of the ring gear.

Methods

First, the dynamic model of planetary gear sets is established to extract the meshing force of meshing element. The model is then combined with the load tooth contact analysis (LTCA) method to determine the load relationship between teeth. The dynamic characteristics of the ring gear are calculated using the modal superposition method and Newmark β time integration method, and the effectiveness of the calculation method is verified by comparing with the experimental results. Finally, the vibration and stress characteristics of the thin-walled ring gear are analyzed.

Results and Conclusion

The amplitude and stress of ring gear vibration increase obviously at resonance speed. Because of the flexibility of the thin-walled ring gear, the compressive stress of the tooth root at the meshing position is obviously smaller than the tensile stress caused by the concave deformation. Due to the influence of external convex deformation, the stress on the outside of the gear ring at the meshing position is more concentrated than the tooth root position.

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Funding

National Natural Science Foundation of China [grant numbers 51865054]. Natural Science Foundation of Xinjiang Province [grant numbers 2018D01C043]. Natural Science Foundation of Xinjiang University [grant numbers BS180216].

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Correspondence to Xiangfeng Zhang.

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Wang, C., Zhang, X., Zhou, J. et al. Calculation Method of Dynamic Stress of Flexible Ring Gear and Dynamic Characteristics Analysis of Thin-Walled Ring Gear of Planetary Gear Train. J. Vib. Eng. Technol. 9, 751–766 (2021). https://doi.org/10.1007/s42417-020-00259-6

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  • DOI: https://doi.org/10.1007/s42417-020-00259-6

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