Dynamic Analysis of Helical Gears Considering Friction

Chengyu Liu; Jiahao  Liu; Shengjie Fang; Fuhao Liu

doi:10.62051/ijmee.v3n3.16

Authors

Chengyu Liu
Jiahao Liu
Shengjie Fang
Fuhao Liu

DOI:

https://doi.org/10.62051/ijmee.v3n3.16

Keywords:

Helical Gear, Friction, Dynamic Response

Abstract

The use of high contact ratio (HCR) gears is an effective method to reduce single tooth loads, as well as vibration and noise, making the application of helical gears increasingly widespread. Although the presence of helix angles can cause significant relative sliding, the presence of more teeth in contact makes HCR gears more sensitive to surface quality. The existing literature mainly investigates geometric optimization, load distribution, or efficiency calculation of helical gears. The research on the influence of rough surfaces on the dynamic performance of helical gears is very limited. To this end, a multi degree of freedom mathematical model of static transmission error was established based on the 2-DOF system. The relative sliding friction was studied using different friction coefficients, and the influence of different friction coefficients on the gear system was analyzed in detail. The numerical results indicate that surface roughness has a relatively small impact on the dynamic transmission error of the system, but has a significant impact on the motion and friction in the direction of departure.

References

[1] Smith, J.D., Gear Noise and Vibration. crc press, 2003.

[2] Kahraman, A. and G.W. Blankenship, Effect of Involute Contact Ratio on Spur Gear Dynamics. Journal of Mechanical Design, 1999. 121(1): p. 112-118.

[3] Yildirim, N., G. Gasparini, and S. Sartori, An improvement on helicopter transmission performance through use of high contact ratio spur gears with suitable profile modification design. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2008.

[4] Oswald, F.B., et al., Influence of Gear Design Parameters on Gearbox Radiated Noise. Nasa Sti/recon Technical Report N, 1994.

[5] B. KRI, A.N., R. Basan, and N. Lovrin, A contribution to the optimal choice of the HCR-gears regarding frictional losses. International Journal of Applied Mechanics and Engineering, 2002. 7: p. 249-254.

[6] Velex, P. and V. Cahouet, Experimental and Numerical Investigations on the Influence of Tooth Friction in Spur and Helical Gear Dynamics. Proc.int.power Transmission & Gearing Conf.baltimore, 2000. 122(4): p. 515-522.

[7] Borner, J. and D.R. Houser, Friction and Bending Moments as Gear Noise Excitations. Mathematical Analysis, 1996. 1.