Dynamic analysis of spur gears considering dynamic stiffness and geometric eccentricity

Zhihao Zheng; Fuhao Liu

doi:10.63313/AERpc.9039

Authors

Zhihao Zheng School of Mechanical and Automotive, Qingdao University of Technology, Qingdao 266520, China Author
Fuhao Liu School of Mechanical and Automotive, Qingdao University of Technology, Qingdao 266520, China Author

DOI:

https://doi.org/10.63313/AERpc.9039

Keywords:

Geometric eccentricity, dynamic stiffness, eccentricity, initial eccentricity angle, dynamic response

Abstract

In gear work, the gear transmission system will inevitably have postpartum geometric eccentricity due to the influ-ence of assembly and manufacturing. This phenomenon can cause the center of rotation to not match the center of mass, which further affects the dynamic response of the gear system. In this paper, a dynamic model of the gear shaft based on the transfer method is proposed to consider the geometric eccentricity fault of the gear, and the factor of the meshing stiffness with the velocity is also considered during the gear meshing process. Finally, the dynamic re-sponse under different eccentricity and initial eccentricity angle is discussed.

References

[1] Y. Luo, N. Baddour, M. Liang, Effects of gear center distance variation on time varying mesh stiffness of a spur gear pair, Eng. Fail. Anal. 75 (2017) 37–53.

[2] Gu, X., and Velex, P., 2013, “On the Dynamic Simulation of Eccentricity Errors in Planetary Gears,” Mech. Mach. Theory, 61, pp. 14–29.

[3] Zhang, Y., Wang, Q., Ma, H., Huang, J., and Zhao, C., 2013, “Dynamic Analy sis of Three-Dimensional Helical Geared Rotor System With Geometric Eccentricity,” J. Mech. Sci. Technol., 27(11), pp. 3231–3242.

[4] Xiang, L., and Gao, N., 2017, “Coupled Torsion-Bending Dynamic Analysis of Gear-Rotor-Bearing System With Eccentricity Fluctuation,” Appl. Math. Modell., 50, pp. 569–584.

[5] Zhibo G ,Ke X ,Jiaxu W , et al.Nonlinear Dynamic Analysis of a Rigid–Flexible Gear Trans-mission Considering Geometric Eccentricities[J].Journal of Computational and Nonlinear Dynamics,2020,15(8):

[6] Yu W ,Mechefske K C ,Timusk M .The dynamic coupling behaviour of a cylindrical geared rotor system subjected to gear eccentricities[J].Mechanism and Machine Theo-ry,2017,107105-122.

[7] Zheng C ,Yimin S ,Meng R , et al.Effects of the gear eccentricities on the dynamic perfor-mance of a planetary gear set[J].Nonlinear Dynamics,2018,91(1):1-15.