Abstract
This paper investigates the meshing stiffness of beveloid gears in the beveloid rotate vector (BRV) transmission. It is a new kind of transmission evolved from rotate vector (RV) reducer. In the BRV transmission, the beveloid gear is a kind of involute gear with a bevel angle. The BRV transmission have high power density, large transmission ratio and high precision in geared coupled systems. However, there is rare systematic research conducted on the meshing stiffness analysis of the BRV transmission at present. Based on the loaded contact finite element analysis principle, a meshing stiffness analysis model for beveloid gears is established. The influence of different factors such as pitch cone angle, addendum coefficient, load and rim structure parameters of external gear on meshing stiffness are studied. The results show that the pitch cone angle and addendum coefficient have little effect on the shape of the meshing stiffness curve, but they have a significant influence on the amplitude of meshing stiffness. In contrast, the load can affect both the shape and the amplitude of the meshing stiffness curve obviously. Also, the size of scallop-hole and rim thickness have a great impact on the amplitude of the meshing stiffness. The prescribed piece of study can provide a better understanding for gear researchers in order to understand the influence of different parameters on dynamic characteristics analysis of the BRV transmission systems.
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References
H. E. Merritt, Gears, 3rd edition, Isaac Pitman & Sons (1954).
K. Mitome, Table sliding taper hobbing of conical gear using cylindrical hob, part 1: Theoretical analysis of table sliding taper hobbing, Journal of Manufacturing Science & Engineering, 103 (4) (1981) 446–451.
S. Liu, C. Song, C. Zhu, C. Liang and X. Yang, In vestiga-tion on the influence of work holiding equipment errors on contact characteristics of face-hobbed hypoid gear, Mechanism andMachine Theory, 138 (2019) 59–111.
R. W. Cornell, Compliance and stress sensitivity of spur gear teeth, Journal of Mechanical Design, 103 (2) (1981) 447–459.
K. J. Huang and T. S. Liu, Dynamic analysis of a spur gear by the dynamic stiffness method, Journal of Sound and Vibration, 234 (2) (2000) 311–329.
T. F. Conry and A. Seireg, A mathematical programming method for design of elastic bodies in contact, Journal of Applied Mechanics, 38 (2) (1971) 387–392.
T. F. Conry and A. Seireg, A mathematical programming technique for the evaluation of load distribution and optimal modifications for gear systems, Journal of Engineering for Industry, 11 (1973) 1115–1122.
M. J. Feng and H. Ma, An improved analytical method for calculating time-varying mesh stiffness of helical gears, Meccanica, 53 (4-5) (2018) 1131–1145.
R. B. Chen, J. X. Zhou and W. L. Sun, Dynamic characteristics of a planetary gear system based on contact status of the tooth surface, Journal of Mechanical Science and Technol-ogy, 32 (1) (2018) 69–80.
H. T. Chen, J. K. Fan, S. X. Jing and X. H. Wang, Probabilistic design optimization of wind turbine gear transmission system based on dynamic reliability, Journal of Mechanical Science and Technology, 33 (2) (2019) 579–589.
L. Han, L. X. Xu and H. J. Qi, Influences of friction and mesh misalignment on time-varying mesh stiffness of helical gears, Journal of Mechanical Science and Technology, 31 (7) (2017) 3121–3130.
Z. G. Wan, H. R. Cao, Y. Y. Zi, W. P. He and Y. M. Chen, Mesh stiffness calculation using an accumulated integral potential energy method and dynamic analysis of helical gears, Mechanism andMachine Theory, 92 (2015) 447–463.
S. Sirichai, Torsional properties of spur gears in mesh using nonlinear finite element analysis, Ph.D. Thesis, Curtin University of Technology (1999).
J. D. Wang, Numerical and experimental analysis of spur gears in mesh, Curtin University ofTechnology (2003).
T. Lin, H. Ou and R. Li, A finite element method for 3D static and dynamic contact/impact analysis of gear drives, Computer Methods in Applied Mechanics and Engineering, 196 (9-12) (2007) 1716–1728.
T. Kiekbusch, D. Sappok, B. Sauer and I. Howard, Calculation of the combined torsional mesh stiffness of spur gear with two- and three-dimensional parametrical FE models, Journal Mechanical of Engineering, 57 (2011) 810–818.
Y. J. Wu, J. J. Wang and Q. K. Han, Contact finite element method for dynamic meshing characteristics analysis of continuous engaged gear drives, Journal of Mechanical Science and Technology, 26 (6) (2012) 1671–1685.
F. Chaari, T. Fakhfakh and M. Haddar, Analytical modelling of spur gear tooth crack and influence on gearmesh stiffness, European Journal of Mechanics, A/Solids, 28 (3) (2009) 461–468.
S. Li, Effect of addendum on contact strength, bending strength and basic performance parameters of a pair of spur gears, Mechanism and Machine Theory, 43 (12) (2008) 1557–1584.
J. Zhan, M. Fard and R. Jazar, A CAD-FEM-QSA integration technique for determining the time-varying meshing stiffness of gear pairs, Measurement, 100 (2017) 139–149.
X. Liang, H. Zhang, L. Liu and M. J. Zuo, The influence of tooth pitting on the mesh stiffness of a pair of external spur gears, Mechanism andMachine Theory, 106 (2016) 1–15.
Q. L. Chen, C. S. Song, C. C. Zhu, X. S. Du and G. X. Ni, Manufacturing and contact characteristics analysis of internal straight beveloid gear pair, Mechanism and Machine Theory, 114 (2017) 60–73.
Acknowledgements
The authors would like to thank the National Natural Science Foundation of China (Grant No. 51575060) and Key Research and Development Project of Chongqing Science and Technology Commission (Grant No. cstc2017rgzn-zdyfX0038).
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Recommended by Associate Editor Ki-Hoon Shin
Huang Yucheng is a M.S. candidate at the State Key Laboratory of Mechanical Transmissions, Chongqing University, China. His research area is meshing stiffness and dynamic analysis of precision transmission.
Du Xuesong, born in 1970, is currently an Associate Professor in School of Mechanical Engineering, Chongqing University, China. His research interests include mechanical design and mechanical system dynamics analysis.
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Huang, Y., Du, X., Zhu, C. et al. Mesh stiffness analysis of beveloid gears for the rotating vector transmission. J Mech Sci Technol 33, 3943–3953 (2019). https://doi.org/10.1007/s12206-019-0739-6
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DOI: https://doi.org/10.1007/s12206-019-0739-6