nach oben

Archive of Applied Mechanics

Erschienen in:

05.07.2023 | Original

A novel analytical model for evaluating the time-varying meshing stiffness of helical gears under irregular pitting failure

verfasst von: Zong Meng, Xiushen Pang, Guoqing Hao, Yesen Jin, Jimeng Li, Fengjie Fan

Erschienen in: Archive of Applied Mechanics | Ausgabe 10/2023

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

Helical gear teeth are subject to spalling, pitting and other failures under prolonged operation, which can contribute to a reduction in the time-varying meshing stiffness (TVMS) of the gear. The shape of the depression formed by the absence of the gear tooth surface is irregular in practice. Firstly, an irregular-shaped pitting model is constructed by the slicing method. On the premise of improving the transition curve, the TVMS calculation equations under the irregular pitting model are derived considering the effect of axial stiffness. Then, a randomly distributed tooth surface pitting evolution model was established by the random pitting generation function, and the effects of three different failure degrees from slight to severe pitting on the TVMS are evaluated. Eventually, the faulty helical gear pairs are constructed in Solidworks and simulated by the finite element method (FEM), verifying that the irregular pitting evolution model and calculation method proposed in this paper are effective.

Vorheriger Artikel An analytical compressive-shear fracture model influenced by thermally treated microcracks in brittle solids

Nächster Artikel A novel approach to study the mass-spring-damper system using a reliable fractional method

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Sun, R.-B., Yang, Z.-B., Gryllias, K., Chen, X.-F.: Cyclostationary modeling for local fault diagnosis of planetary gear vibration signals. J. Sound Vib. (2020). https://doi.org/10.1016/j.jsv.2020.115175CrossRef

Kumar, A., Gandhi, C.P., Zhou, Y., Kumar, R., Xiang, J.: Latest developments in gear defect diagnosis and prognosis: a review. Measurement (2020). https://doi.org/10.1016/j.measurement.2020.107735CrossRef

Sun, R.-B., Yang, Z.-B., Yang, L.-D., Qiao, B.-J., Chen, X.-F., Gryllias, K.: Planetary gearbox spectral modeling based on the hybrid method of dynamics and LSTM. Mech. Syst. Signal Process. (2020). https://doi.org/10.1016/j.ymssp.2019.106611CrossRef

Mohammed, O.D., Rantatalo, M.: Gear fault models and dynamics-based modelling for gear fault detection – a review. Eng. Fail. Anal. (2020). https://doi.org/10.1016/j.engfailanal.2020.104798CrossRef

Huangfu, Y., Zeng, J., Ma, H., Dong, X., Han, H., Zhao, Z.: A flexible-helical-geared rotor dynamic model based on hybrid beam-shell elements. J. Sound Vibr. (2021). https://doi.org/10.1016/j.jsv.2021.116361CrossRef

Chaari, F., Baccar, W., Abbes, M.S., Haddar, M.: Effect of spalling or tooth breakage on gearmesh stiffness and dynamic response of a one-stage spur gear transmission. Eur. J. Mech. A. Solids 27, 691–705 (2008). https://doi.org/10.1016/j.euromechsol.2007.11.005CrossRefMATH

Chen, Z., Shao, Y.: Mesh stiffness calculation of a spur gear pair with tooth profile modification and tooth root crack. Mech. Mach. Theory 62, 63–74 (2013). https://doi.org/10.1016/j.mechmachtheory.2012.10.012CrossRef

Chen, W., Lei, Y., Fu, Y., Hou, L.: A study of effects of tooth surface wear on time-varying mesh stiffness of external spur gear considering wear evolution process. Mech. Mach. Theory (2021). https://doi.org/10.1016/j.mechmachtheory.2020.104055CrossRef

Chen, K., Huangfu, Y., Zhao, Z., Ma, H., Dong, X.: Dynamic modeling of the gear-rotor systems with spatial propagation crack and complicated foundation structure. Mech. Mach. Theory (2022). https://doi.org/10.1016/j.mechmachtheory.2022.104827CrossRef

10.

Liang, X., Zhang, H., Zuo, M.J., Qin, Y.: Three new models for evaluation of standard involute spur gear mesh stiffness. Mech. Syst. Signal Process. 101, 424–434 (2018). https://doi.org/10.1016/j.ymssp.2017.09.005CrossRef

11.

Chen, Z., Zhai, W., Shao, Y., Wang, K., Sun, G.: Analytical model for mesh stiffness calculation of spur gear pair with non-uniformly distributed tooth root crack. Eng. Fail. Anal. 66, 502–514 (2016). https://doi.org/10.1016/j.engfailanal.2016.05.006CrossRef

12.

Xie, C., Shu, X.: A new mesh stiffness model for modified spur gears with coupling tooth and body flexibility effects. Appl. Math. Model. 91, 1194–1210 (2021). https://doi.org/10.1016/j.apm.2020.11.003MathSciNetCrossRefMATH

13.

Wang, Q., Chen, K., Zhao, B., Ma, H., Kong, X.: An analytical-finite-element method for calculating mesh stiffness of spur gear pairs with complicated foundation and crack. Eng. Fail. Anal. 94, 339–353 (2018). https://doi.org/10.1016/j.engfailanal.2018.08.013CrossRef

14.

Natali, C., Battarra, M., Dalpiaz, G., Mucchi, E.: A critical review on FE-based methods for mesh stiffness estimation in spur gears. Mech. Mach. Theory. (2021). https://doi.org/10.1016/j.mechmachtheory.2021.104319CrossRef

15.

Jia, S., Howard, I.: Comparison of localised spalling and crack damage from dynamic modelling of spur gear vibrations. Mech. Syst. Signal Process. 20, 332–349 (2006). https://doi.org/10.1016/j.ymssp.2005.02.009CrossRef

16.

Ma, H., Li, Z., Feng, M., Feng, R., Wen, B.: Time-varying mesh stiffness calculation of spur gears with spalling defect. Eng. Fail. Anal. 66, 166–176 (2016). https://doi.org/10.1016/j.engfailanal.2016.04.025CrossRef

17.

Chen, Z., Zhang, J., Zhai, W., Wang, Y., Liu, J.: Improved analytical methods for calculation of gear tooth fillet-foundation stiffness with tooth root crack. Eng. Fail. Anal. 82, 72–81 (2017). https://doi.org/10.1016/j.engfailanal.2017.08.028CrossRef

18.

Liang, X., Zuo, M.J., Pandey, M.: Analytically evaluating the influence of crack on the mesh stiffness of a planetary gear set. Mech. Mach. Theory 76, 20–38 (2014). https://doi.org/10.1016/j.mechmachtheory.2014.02.001CrossRef

19.

Liu, Y., Shi, Z., Shen, G., Zhen, D., Wang, F., Gu, F.: Evaluation model of mesh stiffness for spur gear with tooth tip chipping fault. Mech. Mach. Theory. (2021). https://doi.org/10.1016/j.mechmachtheory.2020.104238CrossRef

20.

Jiang, H., Shao, Y., Mechefske, C.K.: Dynamic characteristics of helical gears under sliding friction with spalling defect. Eng. Fail. Anal. 39, 92–107 (2014). https://doi.org/10.1016/j.engfailanal.2014.01.008CrossRef

21.

Liang, X., Zhang, H., Liu, L., Zuo, M.J.: The influence of tooth pitting on the mesh stiffness of a pair of external spur gears. Mech. Mach. Theory 106, 1–15 (2016). https://doi.org/10.1016/j.mechmachtheory.2016.08.005CrossRef

22.

Saxena, A., Parey, A., Chouksey, M.: Time varying mesh stiffness calculation of spur gear pair considering sliding friction and spalling defects. Eng. Fail. Anal. 70, 200–211 (2016). https://doi.org/10.1016/j.engfailanal.2016.09.003CrossRef

23.

Luo, Y., Baddour, N., Han, G., Jiang, F., Liang, M.: Evaluation of the time-varying mesh stiffness for gears with tooth spalls with curved-bottom features. Eng. Fail. Anal. 92, 430–442 (2018). https://doi.org/10.1016/j.engfailanal.2018.06.010CrossRef

24.

Luo, Y., Baddour, N., Liang, M.: A shape-independent approach to modelling gear tooth spalls for time varying mesh stiffness evaluation of a spur gear pair. Mech. Syst. Signal Process. 120, 836–852 (2019). https://doi.org/10.1016/j.ymssp.2018.11.008CrossRef

25.

Lei, Y., Liu, Z., Wang, D., Yang, X., Liu, H., Lin, J.: A probability distribution model of tooth pits for evaluating time-varying mesh stiffness of pitting gears. Mech. Syst. Signal Process. 106, 355–366 (2018). https://doi.org/10.1016/j.ymssp.2018.01.005CrossRef

26.

Chen, T., Wang, Y., Chen, Z.: A novel distribution model of multiple teeth pits for evaluating time-varying mesh stiffness of external spur gears. Mech. Syst. Signal Process. 129, 479–501 (2019). https://doi.org/10.1016/j.ymssp.2019.04.029CrossRef

27.

Meng, Z., Wang, F., Shi, G.: A novel evolution model of pitting failure and effect on time -varying meshing stiffness of spur gears. Eng. Fail. Anal. 120, 105068 (2021). https://doi.org/10.1016/j.engfailanal.2020.105068CrossRef

28.

El Yousfi, B., Soualhi, A., Medjaher, K., Guillet, F.: New approach for gear mesh stiffness evaluation of spur gears with surface defects. Eng. Fail. Anal. 116, 104740 (2020). https://doi.org/10.1016/j.engfailanal.2020.104740CrossRef

29.

Sun, R., Song, C., Zhu, C., Yang, X., Li, X.: Computational study of pitting defect influence on mesh stiffness for straight beveloid gear. Eng. Fail. Anal. (2021). https://doi.org/10.1016/j.engfailanal.2020.104971CrossRef

30.

Huangfu, Y., Chen, K., Ma, H., Che, L., Li, Z., Wen, B.: Deformation and meshing stiffness analysis of cracked helical gear pairs. Eng. Fail. Anal. 95, 30–46 (2019). https://doi.org/10.1016/j.engfailanal.2018.08.028CrossRef

31.

Chen, K., Ma, H., Che, L., Li, Z., Wen, B.: Comparison of meshing characteristics of helical gears with spalling fault using analytical and finite-element methods. Mech. Syst. Signal Process. 121, 279–298 (2019). https://doi.org/10.1016/j.ymssp.2018.11.023CrossRef

32.

Wang, S., Zhu, R.: An improved mesh stiffness calculation model for cracked helical gear pair with spatial crack propagation path. Mech. Syst. Signal Process. 172, 108989 (2022). https://doi.org/10.1016/j.ymssp.2022.108989CrossRef

33.

Wu, X., Luo, Y., Li, Q., Shi, J.: A new analytical model for evaluating the time-varying mesh stiffness of helical gears in healthy and spalling cases. Eng. Fail. Analysis. 131, 105842 (2022). https://doi.org/10.1016/j.engfailanal.2021.105842CrossRef

34.

Li, S., Kahraman, A.: A micro-pitting model for spur gear contacts. Int. J. Fatigue 59, 224–233 (2014). https://doi.org/10.1016/j.ijfatigue.2013.08.015CrossRef

35.

Tan, C.K., Irving, P., Mba, D.: A comparative experimental study on the diagnostic and prognostic capabilities of acoustics emission, vibration and spectrometric oil analysis for spur gears. Mech. Syst. Signal Process. 21, 208–233 (2007). https://doi.org/10.1016/j.ymssp.2005.09.015CrossRef

36.

Piegl, L., Tiller, W.: The NURBS Book. Springer (1996)MATH

37.

Xie, C., Hua, L., Han, X., Lan, J., Wan, X., Xiong, X.: Analytical formulas for gear body-induced tooth deflections of spur gears considering structure coupling effect. Int. J. Mech. Sci. 148, 174–190 (2018). https://doi.org/10.1016/j.ijmecsci.2018.08.022CrossRef

38.

Chen, Z., Zhou, Z., Zhai, W., Wang, K.: Improved analytical calculation model of spur gear mesh excitations with tooth profile deviations. Mech. Mach. Theory. 149, 103838 (2020). https://doi.org/10.1016/j.mechmachtheory.2020.103838CrossRef

39.

Wei, J., Zhang, A., Wang, G., Qin, D., Lim, T.C., Wang, Y., Lin, T.: A study of nonlinear excitation modeling of helical gears with modification: theoretical analysis and experiments. Mech. Mach. Theory 128, 314–335 (2018). https://doi.org/10.1016/j.mechmachtheory.2018.06.005CrossRef

40.

Ma, H., Zeng, J., Feng, R., Pang, X., Wang, Q., Wen, B.: Review on dynamics of cracked gear systems. Eng. Fail. Anal. 55, 224–245 (2015). https://doi.org/10.1016/j.engfailanal.2015.06.004CrossRef

Titel: A novel analytical model for evaluating the time-varying meshing stiffness of helical gears under irregular pitting failure
verfasst von: Zong Meng
Xiushen Pang
Guoqing Hao
Yesen Jin
Jimeng Li
Fengjie Fan
Publikationsdatum: 05.07.2023
Verlag: Springer Berlin Heidelberg
Erschienen in: Archive of Applied Mechanics / Ausgabe 10/2023
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-023-02460-x

Premium Partner

Marktübersichten

Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.

Zur Marktübersicht

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Weitere Artikel der Ausgabe 10/2023

Dynamics of a small planetoid in Newtonian gravity field of Lagrangian configuration of three primaries

Accounting for weak interfaces in computing the effective crack energy of heterogeneous materials using the composite voxel technique

Static bending, free and forced vibration responses of organic nanobeams in a temperature environment

Damage identification based on topology optimization and Lasso regularization

Lie group and spectral analysis on entropy optimization for nanofluid flow over melting stretched surface with higher order slips

A novel approach to study the mass-spring-damper system using a reliable fractional method

Premium Partner

Marktübersichten