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Time-varying meshing stiffness calculation of an internal gear pair with small tooth number difference by considering the multi-tooth contact problem

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Abstract

Due to the multiple tooth contact problem involving internal gear pair with small tooth number difference (IGPSTND), the existing analytical methods applied for standard spur or helix gear pairs to calculate the time-varying meshing stiffness (TVMS) are not suitable. In this paper, two methods are proposed for calculating the time-varying meshing stiffness in internal gear pairs with small tooth difference. In the first method, an analytical model is established by using the potential energy method, considering the clearance of initial contact tooth and the external load. The second method proposes the application of a hybrid finite element-analytical method. The proposed two methods are validated by the application of the finite element method. By taking the results of finite element analysis as a comparative reference, the results show that the finite element - analytical method is closer to the reference results than the results obtained by the analytical method, and both methods are less computationally expensive than finite element analysis.

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Acknowledgments

This research is supported by the National Natural Science Foundation of China (Grant No. 92048201). The authors thank the reviewer for his/her valuable comments on the manuscript.

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Correspondence to Shuaidong Zou.

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Guangjian Wang, a Professor from Chongqing University, has studied precision transmission and control for more than 15 years. His research results have been applied in many precision transmission devices domestically; he has over 30 Chinese patents and about 50 research papers.

Shuaidong Zou is an Assistant Researcher at Chongqing University. He has studied mechanical engineering in precision transmission and systems since 2013.

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Wang, G., Luo, Q. & Zou, S. Time-varying meshing stiffness calculation of an internal gear pair with small tooth number difference by considering the multi-tooth contact problem. J Mech Sci Technol 35, 4073–4083 (2021). https://doi.org/10.1007/s12206-021-0819-2

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  • DOI: https://doi.org/10.1007/s12206-021-0819-2

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