Abstract
Concentric face gear split-torque transmission system (CFGSTTS) has great applied value in the field of aeronautical transmission due to the characteristic of high integration. Mesh stiffness, as one of the most primary sources of vibration, is vitally important for the dynamic performances of gear transmission system. The existing finite element method (FEM) and analytical method (AM) are not suitable for tackling the mesh stiffness calculation of closed-loop multi-branch system such as CFGSTTS. Thus, a semi-analytical method (SAM) is presented and verified, which combines the high precision of FEM with the high efficiency of AM. Additionally, the differences between the mesh stiffness of independent face gear drive and that of the same gear pair in CFGSTTS under accordant load is researched by applying SAM. The influence rules of distribution angle and load condition on the mesh stiffness of gear pairs considering system structure are also studied. Results demonstrate that the mesh stiffness of gear pairs in CFGSTTS is time-varying and tends to be consistent with each other by adjusting load parameters.
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Acknowledgments
The authors gratefully acknowledge the support of the National Key Research and Development Program of China through grant No. 2017YFB1300702. The authors gratefully acknowledge the support of the National Natural Science Foundation of China (NSFC) through grants No.51535012, U1604255, and the support of the Key Research and Development Project of Hunan province through grant No. 2016JC2001.
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Jianxiong Dong received his M.S. in School of Mechanical and Electrical Engineering at Central South University, China in 2015. He received his B.S. in School of Mechanical and Electrical Engineering at Central South University, China in 2012. He is an Ph.D. candidate in Central South University. His research interests include dynamic, vibration, tooth contact analysis, finite element analysis in gear systems.
Jinyuan Tang is a Professor in School of Mechanical and Electrical Engineering and State Key Laboratory of High Performance Complex Manufacturing of Central South University, Changsha, PR China. His research includes dynamics, design and manufacturing of the gears including face gear and bevel gear, the tooth surface strengthening and gear modification, and machine design.
Zehua Hu received his Ph.D. in School of Mechanical and Electrical Engineering at Central South University, China in 2019. He received his M.S. in School of Mechanical and Electrical Engineering at Central South University, China in 2014. His research interests include gear dynamic, vibration, gear design.
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Dong, J., Tang, J., Hu, Z. et al. A semi-analytical method of time-varying mesh stiffness in concentric face gear split-torque transmission system. J Mech Sci Technol 34, 589–602 (2020). https://doi.org/10.1007/s12206-020-0107-6
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DOI: https://doi.org/10.1007/s12206-020-0107-6