Abstract
Nutation gear transmission combines nutation drive mode with double arc tooth profile, which has the advantage of large deceleration ratio and solves various problems in the traditional involute gear profile transmission. In his pa-per, the numerical solution and MATLAB software are used to solve the free vibration equation of the nutation system. And the undamped free vibration natural characteristics of the nutation transmission system of bevel gears are obtained. Then it reveals the influence of different physical parameters on the natural frequency of the system. The study and analysis mode shape of double circular spiral bevel gears under the natural frequency are carried out by using finite element software ANSYS. The natural frequencies of the system and each double circular arc bevel gear are compared and analyzed. After it the natural frequencies of the nutation drive system with 150%, 200% and 250% average meshing stiffness and 150%, 200% and 250% nutation gear support stiffness are calculated and compared. At last chapter, we get the orders vibration pattern and know the 7th order is the most influential one by finite element analysis in the ANASY. The natural frequencies of the system and each double arc bevel gear are compared and analyzed.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Zhang, J., Yao, L.G., Huang, S.J., Gu, B.: Precise tooth profile modeling of internal meshing double circular arc spiral bevel gear. J. Mechanical Manufacturing Engineering (1), 119–124 (2015)
Kemper, Y.: Nutating traction drive. J. Eng. Power Trans. ASME 103(1), 154–157 (1981)
Lin, Z., Yao, L.G.: Mathematical model and 3D modeling of involute spiral bevel gears for nutation drive. J. Adv. Mat. Res. 694, 503–506 (2013)
Lin, Z., Yao, L.G.: General mathematical model of internal meshing spiral bevel gears for nutation drive. J. Appl. Mech. Mat. 101, 708–712 (2011)
Chen, A.H., Liu, D.S., Luo, S.M.: Numerical study on dynamic transmission error and vibration stability of gear system. J. Acta Mech. Eng. 4, 21–25 (2004)
Zhang, J., Guo, F., Xie, S.L.: Elastic dynamic modeling and modal analysis of small tooth difference star gear reducer. J. Vibr. Shock 34(12), 169–175 (2015)
Ye, Y.D., Zhou, Z.B.: Finite element modal analysis of spur gear based on ANSYS. J. Mech. Drive 30(5), 63–65 (2006)
Lin, Z., Yao, L.G.: General mathematical model of internal meshing spiral bevel gears for nutation drive. J. Appl. Mech. Mat. 101, 708–712 (2011)
Zhang, X.P., Shi, D.H., Chen, H.J.: Modal analysis of hyperbolic normal circular arc gears. J. Mech. Drive 2, 62–65 (2017)
Tang, L.B., Hu, L., Yang, J.L.: Modal analysis of helical gear with input shaft of a gearbox. J. Noise Vibr. Control 38(S2), 14–17 (2018)
Deng, F.Y., Zhang, Q.: Mathematical model and modal analysis of new circular cylindrical gear. J. Mechanical Drive (1) (2018)
Zhang, L.: Numerical modal analysis of double arc gear. J. Mech. Strength 38(2), 425–428 (2016)
Cai, Y.W., Yao, L.G., Xie, Z.Y.: Influence analysis of system parameters on characteristics of the nutation drive with double circular arc spiral bevel gears. J. Forschung im Ingenieurwesen 81(2–3), 125–133 (2017)
Acknowledgments
The authors acknowledge the support of the NSFC (Grant Nos. 51775114 and 51875105).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Ouyang, S., Yao, L., Cai, Y., Zhang, J., Xie, Z. (2020). Modal Analysis of Nutation Drive with Double Circular Arc Spiral Bevel Gear. In: Wang, D., Petuya, V., Chen, Y., Yu, S. (eds) Recent Advances in Mechanisms, Transmissions and Applications. MeTrApp 2019. Mechanisms and Machine Science, vol 79. Springer, Singapore. https://doi.org/10.1007/978-981-15-0142-5_11
Download citation
DOI: https://doi.org/10.1007/978-981-15-0142-5_11
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-0141-8
Online ISBN: 978-981-15-0142-5
eBook Packages: EngineeringEngineering (R0)