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ISSN (Print): 2212-7976
ISSN (Online): 1874-477X

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Research Article

Influence of Tooth Surface Wear and Nonlinear Contact Stiffness on Dynamic Responses of Helical Gears

Author(s): Weiguang Li, Lin Han*, Yang Qi and Shaoshuai Liu

Volume 15, Issue 5, 2022

Published on: 06 September, 2022

Page: [462 - 476] Pages: 15

DOI: 10.2174/2212797615666220805121848

Price: $65

Abstract

Background: Tooth surface wear is inevitable in helical geared transmission. Consequently, the worn profile deviates from the ideal involute one. As a result, the structural stiffness of worn tooth and contact stiffness of tooth-pair are both changed.

Methods: This work presents an improved calculation method for structural stiffness of worn teeth by combining slicing and potential energy method, considering non-uniform distribution of wear amount along the tooth surface. Then, a nonlinear contact stiffness model is employed to investigate the influence of wear on contact stiffness. Meanwhile, taking wear as one kind of profile deviation, the analytical model of time-varying mesh stiffness (TVMS) of helical gear pair is derived. Furthermore, governing equations with 6 degree-of-freedom are established and influences of wear on dynamic responses are revealed.

Results: Results indicate that structural stiffness of worn teeth decreases but contact stiffness does not always keep increasing or decreasing. The fluctuation of dynamic transmission error with the nonlinear contact model is not as significant as that from the constant contact stiffness model.

Conclusion: The approach presented in this work is suitable for condition monitoring of helical gears in view of long-term service.

Keywords: Helical gear, tooth surface wear, contact stiffness, meshing stiffness, dynamic responses, helical gear.

« Previous Next »
[1]
Flodin A, Andersson S. Simulation of mild wear in helical gears. Wear 2000; 241(2): 123-8.
[http://dx.doi.org/10.1016/S0043-1648(00)00384-7]
[2]
Flodin A, Andersson S. A simplified model for wear prediction in helical gears. Wear 2001; 249(3): 285-92.
[http://dx.doi.org/10.1016/S0043-1648(01)00556-7]
[3]
Zhou C, Lei Y, Wang H, et al. Adhesive wear models for helical gears under quasi-static and dynamic loads. Jixie Gongcheng Xuebao 2018; 54(23): 10-22.
[http://dx.doi.org/10.3901/JME.2018.23.010]
[4]
Zhou C, Wang H. An adhesive wear prediction method for double helical gears based on enhanced coordinate transformation and generalized sliding distance model. Mechanism Mach Theory 2018; 128: 58-83.
[http://dx.doi.org/10.1016/j.mechmachtheory.2018.05.010]
[5]
Wang H, Zhou C, Lei Y, et al. An adhesive wear model for helical gears in line-contact mixed elastohydrodynamic lubrication. Wear 2019; 426-247: 896-909.
[http://dx.doi.org/10.1016/j.wear.2019.01.104]
[6]
Wang H, Zhou C, Hu B, et al. Tooth wear prediction of crowned helical gears in point contact. Proc Inst Mech Eng Pt J: J Eng Tribol (Stevenage) 2020; 234(6): 947-63.
[7]
Sun X, Wang T, Zhang R, Gu F, Ball AD. Numerical modelling of vibration responses of helical gears under progressive tooth wear for condition monitoring. Mathematics 2021; 9(3): 213.
[http://dx.doi.org/10.3390/math9030213]
[8]
Khaldoon B, Zhen D, Gu F, et al. Helical gear wear monitoring: Modelling and experimental validation. Mechanism Mach Theory 2017; 117: 210-29.
[http://dx.doi.org/10.1016/j.mechmachtheory.2017.07.012]
[9]
Feng K, Borghesani P, Smith W, et al. Vibration-based updating of wear prediction for spur gears. Wear 2019; 426-427: 1410-5.
[http://dx.doi.org/10.1016/j.wear.2019.01.017]
[10]
Huangfu Y, Chen K, Ma H, et al. Investigation on meshing and dynamic characteristics of spur gears with tip relief under wear fault. Sci China Technol Sci 2019; 62(11): 1948-60.
[http://dx.doi.org/10.1007/s11431-019-9506-5]
[11]
Huangfu Y, Zhao Z, Ma H, Han H, Chen K. Effects of tooth modifications on the dynamic characteristics of thin-rimmed gears under surface wear. Mechanism Mach Theory 2020; 150: 103870.
[http://dx.doi.org/10.1016/j.mechmachtheory.2020.103870]
[12]
Shen Z, Qiao B, Yang L, Luo W, Chen X. Evaluating the influence of tooth surface wear on TVMS of planetary gear set. Mechanism Mach Theory 2019; 136: 206-23.
[http://dx.doi.org/10.1016/j.mechmachtheory.2019.03.014]
[13]
Shen Z, Qiao B, Yang L, Luo W, Yang Z, Chen X. Fault mechanism and dynamic modeling of planetary gear with gear wear. Mechanism Mach Theory 2021; 155: 104098.
[http://dx.doi.org/10.1016/j.mechmachtheory.2020.104098]
[14]
Wan Z, Cao H, Zi Y, He W, Chen Y. Mesh stiffness calculation using an accumulated integral potential energy method and dynamic analy-sis of helical gears. Mechanism Mach Theory 2015; 92: 447-63.
[http://dx.doi.org/10.1016/j.mechmachtheory.2015.06.011]
[15]
Pedrero J, Pleguezuelos M, Artes M, Antona JA. Load distribution model along the line of contact for involute external gears. Mechanism Mach Theory 2010; 45(5): 780-94.
[http://dx.doi.org/10.1016/j.mechmachtheory.2009.12.009]
[16]
Sainsot P, Velex P, Duverger O. Contribution of gear body to tooth deflections—a new bidimensional analytical formula. J Mech Des 2004; 126(4): 748-52.
[http://dx.doi.org/10.1115/1.1758252]
[17]
Cornell RW. Compliance and stress sensitivity of spur gear teeth. J Mech Des 1981; 103(2): 447-59.
[http://dx.doi.org/10.1115/1.3254939]
[18]
Yang DCH, Sun Z. A rotary model for spur gear dynamics. J Mech Des 1985; 107: 529-35.
[19]
Chen Z, Shao Y. Mesh stiffness calculation of a spur gear pair with tooth profile modification and tooth root crack. Mechanism Mach Theory 2013; 62: 63-74.
[http://dx.doi.org/10.1016/j.mechmachtheory.2012.10.012]
[20]
He S, Gunda R, Singh R. Effect of friction on the dynamics of spur gear pair with realistic time-varying stiffness. J Sound Vibrat 2007; 301(3-5): 927-49.
[http://dx.doi.org/10.1016/j.jsv.2006.10.043]
[21]
Flodin A, Andersson S. Simulation of mild wear in helical gears. Wear 1997; 207(1): 16-23.
[http://dx.doi.org/10.1016/S0043-1648(96)07467-4]

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