Skip to main content

17.01.2020

Time-varying mesh stiffness calculation of a planetary gear set with the spalling defect under sliding friction

verfasst von: Wei Luo, Baijie Qiao, Zhixian Shen, Zhibo Yang, Xuefeng Chen

Erschienen in: Meccanica

Einloggen

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

search-config
loading …

Abstract

Time-varying mesh stiffness (TVMS) is an important excitation source of a planetary gear set. Sliding friction and spalling defects have significant effect on the TVMS. Accurate evaluation of the TVMS can help obtain the vibration characteristics and further detect the spalling defects of the planetary gear set. In this paper, an improved analytical model is proposed to calculate the TVMS of the planetary gear set with sliding friction by considering the tooth profile beginning with the root circle. Then the impact of spalling defects on the TVMS is investigated. The results show that the improved analytical model can increase the precision of the TVMS. Besides, the effect of sliding friction and spalling defects on the TVMS is significant. This study offers a basis for dynamic performance analysis of a planetary gear set with spalling defects under sliding friction.

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!

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!

Literatur
1.
Zurück zum Zitat Mohammed OD, Rantatalo M, Aidanpaa JO (2013) Improving mesh stiffness calculation of cracked gears for the purpose of vibration-based fault analysis. Eng Fail Anal 34(8):235–251CrossRef Mohammed OD, Rantatalo M, Aidanpaa JO (2013) Improving mesh stiffness calculation of cracked gears for the purpose of vibration-based fault analysis. Eng Fail Anal 34(8):235–251CrossRef
2.
Zurück zum Zitat Xue S, Entwistle R, Mazhar I, Howard I (2016) The spur planetary gear torsional stiffness and its crack sensitivity under quasi-static conditions. Eng Fail Anal 63:106–120CrossRef Xue S, Entwistle R, Mazhar I, Howard I (2016) The spur planetary gear torsional stiffness and its crack sensitivity under quasi-static conditions. Eng Fail Anal 63:106–120CrossRef
3.
Zurück zum Zitat Verma JG, Kumar S, Kankar PK (2018) Crack growth modeling in spur gear tooth and its effect on mesh stiffness using extended finite element method. Eng Fail Anal 94:109–120CrossRef Verma JG, Kumar S, Kankar PK (2018) Crack growth modeling in spur gear tooth and its effect on mesh stiffness using extended finite element method. Eng Fail Anal 94:109–120CrossRef
4.
Zurück zum Zitat Liang X, Zhang H, Liu L, Zuo MJ (2016) The influence of tooth pitting on the mesh stiffness of a pair of external spur gears. Mech Mach Theory 106:1–15CrossRef Liang X, Zhang H, Liu L, Zuo MJ (2016) The influence of tooth pitting on the mesh stiffness of a pair of external spur gears. Mech Mach Theory 106:1–15CrossRef
5.
Zurück zum Zitat Ma H, Pang X, Feng MJ, Zeng J, Wen BC (2015) Improved time-varying mesh stiffness model of cracked spur gears. Eng Fail Anal 55:271–287CrossRef Ma H, Pang X, Feng MJ, Zeng J, Wen BC (2015) Improved time-varying mesh stiffness model of cracked spur gears. Eng Fail Anal 55:271–287CrossRef
6.
Zurück zum Zitat Ma H, Pang X, Zeng J, Wang QB, Wen BC (2015) Effects of gear crack propagation paths on vibration responses of the perforated gear system. Mech Syst Signal Process 62:113–128ADSCrossRef Ma H, Pang X, Zeng J, Wang QB, Wen BC (2015) Effects of gear crack propagation paths on vibration responses of the perforated gear system. Mech Syst Signal Process 62:113–128ADSCrossRef
7.
Zurück zum Zitat Yang DCH, Lin JY (1987) Hertzian damping, tooth friction and bending elasticity in gear impact dynamics. J Mech Des 109(2):189–196 Yang DCH, Lin JY (1987) Hertzian damping, tooth friction and bending elasticity in gear impact dynamics. J Mech Des 109(2):189–196
8.
Zurück zum Zitat Tian X, Zuo MJ, Fyfe KR (2004) Analysis of the vibration response of a gearbox with gear tooth faults. In: ASME 2004 international mechanical engineering congress and exposition, pp 785–793 Tian X, Zuo MJ, Fyfe KR (2004) Analysis of the vibration response of a gearbox with gear tooth faults. In: ASME 2004 international mechanical engineering congress and exposition, pp 785–793
9.
Zurück zum Zitat Liang X, Zuo MJ, Pandey M (2014) Analytically evaluating the influence of crack on the mesh stiffness of a planetary gear set. Mech Mach Theory 76(6):20–38CrossRef Liang X, Zuo MJ, Pandey M (2014) Analytically evaluating the influence of crack on the mesh stiffness of a planetary gear set. Mech Mach Theory 76(6):20–38CrossRef
10.
Zurück zum Zitat Ma H, Song R, Pang X, Wen BC (2014) Time-varying mesh stiffness calculation of cracked spur gears. Eng Fail Anal 44(6):179–194CrossRef Ma H, Song R, Pang X, Wen BC (2014) Time-varying mesh stiffness calculation of cracked spur gears. Eng Fail Anal 44(6):179–194CrossRef
11.
Zurück zum Zitat Huangfu YF, Chen KK, Ma H, Che LY, Li ZW, Wen BC (2019) Deformation and meshing stiffness analysis of cracked helical gear pairs. Eng Fail Anal 95:30–46CrossRef Huangfu YF, Chen KK, Ma H, Che LY, Li ZW, Wen BC (2019) Deformation and meshing stiffness analysis of cracked helical gear pairs. Eng Fail Anal 95:30–46CrossRef
12.
Zurück zum Zitat Chen KK, Huangfu YF, Ma H, Xu ZT, Li X, Wen BC (2019) Calculation of mesh stiffness of spur gears considering complex foundation types and crack propagation paths. Mech Syst Signal Process 130:273–292CrossRef Chen KK, Huangfu YF, Ma H, Xu ZT, Li X, Wen BC (2019) Calculation of mesh stiffness of spur gears considering complex foundation types and crack propagation paths. Mech Syst Signal Process 130:273–292CrossRef
14.
Zurück zum Zitat Sainsot P, Velex P, Duverger O (2004) Contribution of gear body to tooth deflectionsa new bidimensional analytical formula. J Mech Des 126(4):748–752CrossRef Sainsot P, Velex P, Duverger O (2004) Contribution of gear body to tooth deflectionsa new bidimensional analytical formula. J Mech Des 126(4):748–752CrossRef
15.
Zurück zum Zitat Ma H, Zeng J, Feng R, Pang X, Wen B (2016) An improved analytical method for mesh stiffness calculation of spur gears with tip relief. Mech Mach Theory 98:64–80CrossRef Ma H, Zeng J, Feng R, Pang X, Wen B (2016) An improved analytical method for mesh stiffness calculation of spur gears with tip relief. Mech Mach Theory 98:64–80CrossRef
16.
Zurück zum Zitat Chen Z, Zhang J, Zhai W, Wang Y, Liu J (2017) Improved analytical methods for calculation of gear tooth fillet-foundation stiffness with tooth root crack. Eng Fail Anal 82:72–81CrossRef Chen Z, Zhang J, Zhai W, Wang Y, Liu J (2017) Improved analytical methods for calculation of gear tooth fillet-foundation stiffness with tooth root crack. Eng Fail Anal 82:72–81CrossRef
17.
Zurück zum Zitat Liang XH, Zuo MJ, Guo YM (2014) Evaluating the time-varying mesh stiffness of a planetary gear set using the potential energy method. Proc IMechE Part C J Mech Eng Sci 228(3):1–13CrossRef Liang XH, Zuo MJ, Guo YM (2014) Evaluating the time-varying mesh stiffness of a planetary gear set using the potential energy method. Proc IMechE Part C J Mech Eng Sci 228(3):1–13CrossRef
18.
Zurück zum Zitat Chen ZG, Shao YM (2013) Mesh stiffness of an internal spur gear pair with ring gear rim deformation. Mech Mach Theory 69:1–12CrossRef Chen ZG, Shao YM (2013) Mesh stiffness of an internal spur gear pair with ring gear rim deformation. Mech Mach Theory 69:1–12CrossRef
19.
Zurück zum Zitat Chaari F, Baccar W, Abbes MS, Haddar M (2008) 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(4):691–705CrossRef Chaari F, Baccar W, Abbes MS, Haddar M (2008) 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(4):691–705CrossRef
20.
Zurück zum Zitat Ma H, Li Z, Feng M, Feng R, Wen B (2016) Time-varying mesh stiffness calculation of spur gears with spalling defect. Eng Fail Anal 66:166–176CrossRef Ma H, Li Z, Feng M, Feng R, Wen B (2016) Time-varying mesh stiffness calculation of spur gears with spalling defect. Eng Fail Anal 66:166–176CrossRef
21.
Zurück zum Zitat Luo Y, Baddour N, Han G, Jiang F, Liang M (2018) Evaluation of the time-varying mesh stiffness for gears with tooth spalls with curved-bottom features. Eng Fail Anal 92:430–442CrossRef Luo Y, Baddour N, Han G, Jiang F, Liang M (2018) Evaluation of the time-varying mesh stiffness for gears with tooth spalls with curved-bottom features. Eng Fail Anal 92:430–442CrossRef
22.
Zurück zum Zitat Liu C, Qin D, Liao Y (2014) Dynamic model of variable speed process for herringbone gears including friction calculated by variable friction coefficient. J Mech Des 136(4):041006CrossRef Liu C, Qin D, Liao Y (2014) Dynamic model of variable speed process for herringbone gears including friction calculated by variable friction coefficient. J Mech Des 136(4):041006CrossRef
23.
Zurück zum Zitat Jiang H, Shao Y, Mechefske CK, Chen X (2015) The influence of mesh misalignment on the dynamic characteristics of helical gears including sliding friction. J Mech Sci Technol 29(11):4563–4573CrossRef Jiang H, Shao Y, Mechefske CK, Chen X (2015) The influence of mesh misalignment on the dynamic characteristics of helical gears including sliding friction. J Mech Sci Technol 29(11):4563–4573CrossRef
24.
Zurück zum Zitat Guerine A, El HA, Walha L, Fakhfakh T, Haddar M (2016) A polynomial chaos method for the analysis of the dynamic behavior of uncertain gear friction system. Eur J Mech A Solids 59:76–84MathSciNetCrossRef Guerine A, El HA, Walha L, Fakhfakh T, Haddar M (2016) A polynomial chaos method for the analysis of the dynamic behavior of uncertain gear friction system. Eur J Mech A Solids 59:76–84MathSciNetCrossRef
25.
Zurück zum Zitat Fernandez-Del-Rincon A, Garcia P, Diez-Ibarbia A, De-Juan A, Iglesias M, Viadero F (2017) Enhanced model of gear transmission dynamics for condition monitoring applications: effects of torque, friction and bearing clearance. Mech Syst Signal Process 85:445–467ADSCrossRef Fernandez-Del-Rincon A, Garcia P, Diez-Ibarbia A, De-Juan A, Iglesias M, Viadero F (2017) Enhanced model of gear transmission dynamics for condition monitoring applications: effects of torque, friction and bearing clearance. Mech Syst Signal Process 85:445–467ADSCrossRef
26.
Zurück zum Zitat Diez-Ibarbia A, Fernandez-del Rincon A, de Juan A, Iglesias M, Garcia P, Viadero F (2018) Frictional power losses on spur gears with tip reliefs: the friction coefficient role. Mech Mach Theory 121:15–27CrossRef Diez-Ibarbia A, Fernandez-del Rincon A, de Juan A, Iglesias M, Garcia P, Viadero F (2018) Frictional power losses on spur gears with tip reliefs: the friction coefficient role. Mech Mach Theory 121:15–27CrossRef
27.
Zurück zum Zitat He S, Rook T, Singh R (2008) Construction of semianalytical solutions to spur gear dynamics given periodic mesh stiffness and sliding friction functions. J Mech Des 130(12):1786–1787CrossRef He S, Rook T, Singh R (2008) Construction of semianalytical solutions to spur gear dynamics given periodic mesh stiffness and sliding friction functions. J Mech Des 130(12):1786–1787CrossRef
28.
Zurück zum Zitat Hou S, Wei J, Zhang A, Lim TC, Zhang C (2018) Study of dynamic model of helical/herringbone planetary gear system with friction excitation. J Comput Nonlinear Dyn 13(12):121007CrossRef Hou S, Wei J, Zhang A, Lim TC, Zhang C (2018) Study of dynamic model of helical/herringbone planetary gear system with friction excitation. J Comput Nonlinear Dyn 13(12):121007CrossRef
29.
Zurück zum Zitat Fang Y, Liang X, Zuo MJ (2018) Effects of friction and stochastic load on transient characteristics of a spur gear pair. Nonlinear Dyn 93(2):1–11CrossRef Fang Y, Liang X, Zuo MJ (2018) Effects of friction and stochastic load on transient characteristics of a spur gear pair. Nonlinear Dyn 93(2):1–11CrossRef
30.
Zurück zum Zitat Saxena A, Parey A, Chouksey M (2015) Effect of shaft misalignment and friction force on time varying mesh stiffness of spur gear pair. Eng Fail Anal 49:79–91CrossRef Saxena A, Parey A, Chouksey M (2015) Effect of shaft misalignment and friction force on time varying mesh stiffness of spur gear pair. Eng Fail Anal 49:79–91CrossRef
31.
Zurück zum Zitat Saxena A, Parey A, Chouksey M (2016) Time varying mesh stiffness calculation of spur gear pair considering sliding friction and spalling defects. Eng Fail Anal 70:200–211CrossRef Saxena A, Parey A, Chouksey M (2016) Time varying mesh stiffness calculation of spur gear pair considering sliding friction and spalling defects. Eng Fail Anal 70:200–211CrossRef
32.
Zurück zum Zitat Ma H, Feng MJ, Li ZW, Feng RJ, Wen BC (2017) Time-varying mesh characteristics of a spur gear pair considering the tip-fillet and friction. Meccanica 52:1695–1709MathSciNetCrossRef Ma H, Feng MJ, Li ZW, Feng RJ, Wen BC (2017) Time-varying mesh characteristics of a spur gear pair considering the tip-fillet and friction. Meccanica 52:1695–1709MathSciNetCrossRef
33.
Zurück zum Zitat Liu W, Shuai ZJ, Guo YB, Wang DH (2019) Modal properties of a two-stage planetary gear system with sliding friction and elastic continuum ring gear. Mech Mach Theory 135:251–270CrossRef Liu W, Shuai ZJ, Guo YB, Wang DH (2019) Modal properties of a two-stage planetary gear system with sliding friction and elastic continuum ring gear. Mech Mach Theory 135:251–270CrossRef
34.
Zurück zum Zitat He S, Cho S, Singh R (2008) Prediction of dynamic friction forces in spur gears using alternate sliding friction formulations. J Sound Vib 309:843–851ADSCrossRef He S, Cho S, Singh R (2008) Prediction of dynamic friction forces in spur gears using alternate sliding friction formulations. J Sound Vib 309:843–851ADSCrossRef
35.
Zurück zum Zitat Rebbechi B, Oswald FB, Townsend DP (1996) Measurement of gear tooth dynamic friction. In: ASME power transmission and gearing conference proceedings, San Diego, vol 88, pp 355–363 Rebbechi B, Oswald FB, Townsend DP (1996) Measurement of gear tooth dynamic friction. In: ASME power transmission and gearing conference proceedings, San Diego, vol 88, pp 355–363
36.
Zurück zum Zitat Ma H, Pang X, Feng MJ, Song RZ, Wen BC (2015) Fault features analysis of cracked gear considering the effect of the extended tooth contact. Eng Fail Anal 48:105–120CrossRef Ma H, Pang X, Feng MJ, Song RZ, Wen BC (2015) Fault features analysis of cracked gear considering the effect of the extended tooth contact. Eng Fail Anal 48:105–120CrossRef
37.
Zurück zum Zitat Shen ZX, Qiao BJ, Yang LH, Luo W, Chen XF (2019) Evaluating the influence of tooth surface wear on TVMS of planetary gear set. Mech Mach Theory 136:206–223CrossRef Shen ZX, Qiao BJ, Yang LH, Luo W, Chen XF (2019) Evaluating the influence of tooth surface wear on TVMS of planetary gear set. Mech Mach Theory 136:206–223CrossRef
38.
Zurück zum Zitat Parker RG, Lin J (2003) Mesh phasing relationships in planetary and epicyclic gears. In: ASME 2003 international design engineering technical conferences and computers and information in engineering conference, pp 525–534 Parker RG, Lin J (2003) Mesh phasing relationships in planetary and epicyclic gears. In: ASME 2003 international design engineering technical conferences and computers and information in engineering conference, pp 525–534
Metadaten
Titel
Time-varying mesh stiffness calculation of a planetary gear set with the spalling defect under sliding friction
verfasst von
Wei Luo
Baijie Qiao
Zhixian Shen
Zhibo Yang
Xuefeng Chen
Publikationsdatum
17.01.2020
Verlag
Springer Netherlands
Erschienen in
Meccanica
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-019-01115-y

    Marktübersichten

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