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Abstract

The tooth surface friction is one of the main sources of gear vibration and noise. The current challenging problems in research of a helical gear pair dynamics considering tooth surface friction include the following: (1) Calculation accuracy of the tooth surface friction factor needs to be improved. (2) The meshing process of a helical gear pair has not been fully taken into account in a dynamic model. To solve these problems, a dynamic model of a helical gear pair considering tooth surface friction is proposed in this article. First, based on the tooth contact analysis and loaded tooth contact analysis of a helical gear pair, excitation of time-varying meshing stiffness, the sliding friction coefficient on tooth surface, and the arm of friction force are preliminarily calculated. Second, the dynamic model of a helical gear pair considering tooth surface friction is built and solved, in which the dynamic meshing force/speed/displacement is calculated. The sliding friction coefficient on tooth surface, arm of friction force, and dynamic equations form a coupled system. By decoupling calculation, the model system equations are solved. Finally, an example is presented to verify the proposed model.

Keywords

Helical gear dynamic model tooth surface friction tooth contact analysis loaded tooth contact analysis

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References

Borner

Houser

(1996) Friction and bending moments on gear noise excitations. SAE Transaction 105: 1669–1676.

Fang

(1997a) Loaded tooth contact analysis of modified helical gears. Journal of Aerospace Power 12: 251–254.

Fang

(1997b) Tooth contact analysis of helical gears with modification. Journal of Aerospace Power 12: 247–250.

Han

(2017) Influences of tooth spalling or local breakage on time-varying mesh stiffness of helical gears. Engineering Failure Analysis 79: 75–88.

Gunda

Singh

(2007) Inclusion of sliding friction in contact dynamics model for helical gears. ASME Journal of Mechanical Design 129: 48–57.

Houser

Bolze

Graber

(1996) Static and dynamic transmission error measurements and predictions for spur and helical gear sets. In: Proceedings of the seventh ASME international power transmission and gearing conference, San Diego, CA, 6–9 October 1996, pp. 365–372. New York: American Society of Mechanical Engineers.

Huang

Tseng

(2011) Dynamic analyses of gear pairs incorporating the effect of time-varying lubrication damping. Journal of Vibration and Control 17: 355–363.

Jiang

Liu

(2016) Dynamic features of three-dimensional helical gears under sliding friction with tooth breakage. Engineering Failure Analysis 70: 305–322.

Jiang

Shao

Mechefske

(2014) Dynamic characteristics of helical gears under sliding friction with spalling defect. Engineering Failure Analysis 39: 92–107.

10.

Kar

Mohanty

(2007) An algorithm for determination of time-varying frictional force and torque in a helical gear system. Mechanism and Machine Theory 42: 482–496.

11.

(2002) Gear contact model and loaded tooth contact analysis of a three-dimensional, thin-rimmed gear. Journal of Mechanical Design 124: 511–517.

12.

Vaidyanathan

Harianto

, et al. (2009) Influence of design parameters on mechanical power losses of helical gear pairs. Journal of Advanced Mechanical Design, Systems, and Manufacturing 3: 146–158.

13.

Litvin

Townsend

, et al. (1999) Computerized simulation of meshing of conventional helical involute gears and modification of geometry. Mechanism and Machine Theory 34: 123–147.

14.

Stringer

Sheth

Allaire

(2011) Modal reduction of geared rotor systems with general damping and gyroscopic effects. Journal of Vibration and Control 17: 975–987.

15.

Vaishya

Singh

(2003) Strategies for modeling friction in gear dynamics. ASME Journal of Mechanical Design 125: 383–393.

16.

Velex

Cahouet

(2000) Experimental and numerical investigations on the influence of tooth friction in spur and helical gear dynamics. ASME Journal of Mechanical Design 122: 515–522.

17.

Velex

Sainsot

(2002) An analytical study of tooth friction excitations in errorless spur and helical gears. Mechanism and Machine Theory 37: 641–658.

18.

Wan

Cao

, et al. (2015) Mesh stiffness calculation using an accumulated integral potential energy method and dynamic analysis of helical gears. Mechanism and Machine Theory 92: 447–463.

19.

Wang

Cui

Wang

(2012) Loaded tooth contact analysis modified double helical gear. Journal of Mechanical Engineering 63: 95–108.

20.

Wang

Cui

Zhang

, et al. (2015) Contact model and tooth contact analysis of double helical gears with parallel-axis, crossed-axis and modification. Australian Journal of Mechanical Engineering 13: 1–8.

21.

Wang

Yang

, et al. (2018) Dynamic modeling of double helical gears. Journal of Vibration and Control 24: 3989–3999.

22.

Anderson

Maddock

, et al. (2007) Prediction of mechanical efficiency of parallel-axis gear pairs. Journal of Mechanical Design 129: 58–68.

Dynamic model of a helical gear pair considering tooth surface friction

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