Influence of the backlash generated by tooth accumulated wear on dynamic behavior of compound planetary gear set

Abstract

Backlash is a key internal excitation on the dynamic response of planetary gear transmission. After the gear transmission running for a long time under load torque, due to tooth wear accumulation, the backlash between the tooth surface of two mating gears increases, which results in a larger and irregular backlash. However, the increasing backlash generated by tooth accumulated wear is generally neglected in lots of dynamics analysis for epicyclic gear trains. In order to investigate the impact of backlash generated by tooth accumulated wear on dynamic behavior of compound planetary gear set, in this work, first a static tooth surface wear prediction model is incorporated with a dynamic iteration methodology to get the increasing backlash generated by tooth accumulated wear for one pair of mating teeth under the condition that contact ratio equals to one. Then in order to introduce the tooth accumulated wear into dynamic model of compound planetary gear set, the backlash excitation generated by tooth accumulated wear for each meshing pair in compound planetary gear set is given under the condition that contact ratio equals to one and does not equal to one. Last, in order to investigate the impact of the increasing backlash generated by tooth accumulated wear on dynamic response of compound planetary gear set, a nonlinear lumped-parameter dynamic model of compound planetary gear set is employed to describe the dynamic relationships of gear transmission under the internal excitations generated by worn profile, meshing stiffness, transmission error, and backlash. The results indicate that the introduction of the increasing backlash generated by tooth accumulated wear makes a significant influence on the bifurcation and chaotic characteristics, dynamic response in time domain, and load sharing behavior of compound planetary gear set.

Keywords

Backlash wear dynamic response compound planetary gear set

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References

Bhushan

. Introduction to tribology, John Wiley & Sons, 2013.

Zhang

Teng

Liu

. Failure analysis of gear and bearing in engine. Failure Anal Prevent 2011; 2: 009–009.

Yang S and Shen Y. Nonlinear dynamics of a spur gear pair with slight wear fault. In: IUTAM symposium on dynamics and control of nonlinear systems with uncertainty. Netherlands: Springer, 2007, pp.177–185.

Wang

. Dynamic surface wear characteristics in spur gear transmission system with dynamic loads and wear coefficients. J Central South Univ (Sci Technol) 2014; 2: 011–011.

Lin

Kuang

. Dynamic interaction between contact loads and tooth wear of engaged plastic gear pairs. Int J Mech Sci 2008; 50: 205–213.

Atanasiu

Oprişan

Leohchi

. The effect of tooth wear on the dynamic transmission error of helical gears with smaller number of pinion teeth. Appl Mech Mater 2014; 657: 649–653.

Priit

Andersson

. Wear simulation with the Winkler surface model. Wear 1997; 207: 79–85.

Flodin

Andersson

. Simulation of mild wear in spur gears. Wear 1997; 207: 16–23.

Jiang

Dong

. Numerical simulation on mild wears for involute gears. J Dalian Railway Inst 1999; 20: 13–18.

10.

Bajpai

Kahraman

Anderson

. A surface wear prediction methodology for parallel-axis gear pairs. J Tribol 2004; 126: 597–605.

11.

Park

Kahraman

. A surface wear model for hypoid gear pairs. Wear 2009; 267: 1595–1604.

12.

Archard

. Contact of rubbing flat surfaces. J Appl Phys 1953; 24: 981–988.

13.

Kahraman

Ding

. A methodology to predict surface wear of planetary gears under dynamic conditions. Mech Based Des Struct Mach 2010; 38: 493–515.

14.

Choy

. Analysis of the effects of surface pitting and wear on the vibration of a gear transmission system. Tribol Int 1996; 29: 77–83.

15.

Ding

Kahraman

. Interactions between nonlinear spur gear dynamics and surface wear. J Sound Vib 2007; 307: 662–679.

16.

Yuksel

Kahraman

. Dynamic tooth loads of planetary gear sets having tooth profile wear. Mech Mach Theory 2004; 39: 695–715.

17.

Chen Y and Wu X. Dynamic load sharing behavior of planetary gear train with backlashes. In: IEEE Computer Society, 2009 International Conference on Engineering Computation, ICEC, pp.209–212.

18.

Walha

Fakhfakh

Haddar

. Backlash effect on dynamic analysis of a two-stage spur gear system. J Failure Anal Prevent 2006; 6: 60–68.

19.

Amezketa M, Iriarte X, Ros J, et al. Dynamic model of a helical gear pair with backlash and angle-varying mesh stiffness. Multibody Dyn 2009.

20.

Li YG, Chen TN and Wang XP. Non-linear dynamics of gear pair with dynamic backlash subjected to combined internal and external periodic excitations. J Vib Control 2014; 8(1): 1–11.

21.

Cheng

. Sliding wear calculation in spur gears. J Tribol 1993; 115: 493–500.

22.

Tunalioğlu

Şafak

Bedri

. Theoretical and experimental investigation of wear in internal gears. Wear 2014; 309: 208–215.

23.

Zhang

Peng

. A nonlinear dynamic model for analysis of the combined influences of nonlinear internal excitations on the load sharing behavior of a compound planetary gear set. Proc IMechE, Part C: J Mechanical Engineering Science. Epub ahead of print 30 July 2015. DOI: 10.1177/0954406215597957.

24.

Shi

. Meshing stiffness analysis of gear using the Ishikawa method. Appl Mech Mater 2013; 401: 203–206.

25.

Liang

Zuo

Patel

. Evaluating the time-varying mesh stiffness of a planetary gear set using the potential energy method. Proc IMechE, Part C: J Mechanical Engineering Science 2014; 228: 535–547.

26.

Vaishya

Singh

. Sliding friction-induced non-linearity and parametric effects in gear dynamics. J Sound Vib 2001; 248: 671–694.

27.

. Impact of mesh errors on dynamic load sharing characteristics of compound planetary Gear Sets. Chinese J Mech Eng 2015; 51: 104–110.