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Simulation and experimental test of load-sharing behavior of planetary gear train with flexible ring gear

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Abstract

For simulation and calculation of load-sharing behavior of planetary gear train by using the lumped mass method, an exact computational model of time-varying meshing stiffness of inner gear meshing pair with thin-walled sleeve was needed. Therefore, based on analysis of the flexible ring gear structure with thin-walled sleeve, an accurately model is proposed to obtain the time-varying internal meshing stiffness. Then, according to Newton’s second law, a group of parametric differential equations of planetary gear system were derived, with which the load-sharing coefficient of the system was obtained. The load-sharing behavior experimental for the planetary gear train with five planetary gears and with flexible ring gear was designed, while the arrangement of the strain gauge was investigated and the test was performed under different working conditions. The test results show that the error of load sharing coefficient calculated by theory and experiment is less than 5 %.

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Acknowledgments

National Natural Science Foundation (Project Ref. 52005382) and Foundation of Key Laboratory of Shaanxi Provincial Department of Education (Project Ref. 19JS036) provided financial support for their respective research projects.

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Authors and Affiliations

  1. Xi’an Technological University, Xi’an, 710000, China

    Haodong Ge, Yunbo Shen, Yuquan Zhu, Yingzhao Xiong & Bing Yuan

  2. Northwestern Polytechnical University, Xi’an, 710000, China

    Zongde Fang

Authors
  1. Haodong Ge
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  2. Yunbo Shen
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  3. Yuquan Zhu
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  4. Yingzhao Xiong
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  5. Bing Yuan
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  6. Zongde Fang
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Correspondence to Yunbo Shen.

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The authors declare that they have no competing interests.

Additional information

Haodong Ge is a Graduate Student in the School of Mechatronic Engineering of Xi’an Technological University. He is studying for a Master’s degree at Xi’an Technological University. His research interests include planetary gear systems and dynamics.

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Ge, H., Shen, Y., Zhu, Y. et al. Simulation and experimental test of load-sharing behavior of planetary gear train with flexible ring gear. J Mech Sci Technol 35, 4875–4888 (2021). https://doi.org/10.1007/s12206-021-1006-1

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  • DOI: https://doi.org/10.1007/s12206-021-1006-1

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