Skip to main content
Erschienen in: Forschung im Ingenieurwesen 3/2022

08.07.2021 | Originalarbeiten/Originals

Dynamic load distribution of planetary gear sets subject to both internal and external excitations

verfasst von: Lokaditya Ryali, David Talbot

Erschienen in: Forschung im Ingenieurwesen | Ausgabe 3/2022

Einloggen

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

search-config
loading …

Abstract

Planetary gearsets are widely used in several mechanical systems and have numerous advantages over counter-shaft gears. Despite this, the complex arrangement of components in a planetary gear system makes them susceptible to noise and vibration issues. An exhaustive and rich literature is available on the topic of planetary gear dynamics, but most of these studies consider only the parametric excitation of gear mesh contacts while assuming an ideal power source. But contrary to this popular assumption, realistic power sources (IC Engine, electric motor, wind turbine, etc.) could be subjected to torque fluctuations based on the operating conditions. The current study presents a theoretical investigation on the load distribution and dynamic behavior of planetary gear sets subjected to both internal and external excitations. A three-dimensional dynamic planetary load distribution model that inherently captures the internal excitation due to the elastic gear mesh contacts is employed in this study. The influence of operating conditions on both system-level response and local gear mesh contact stress distribution are explored. Discussed results not only illustrate the potential of the dynamic model but also reinforce the need for such computationally efficient models for design and analysis purposes.

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 Bodas A, Kahraman A (2004) Influence of carrier and gear manufacturing errors on the static load sharing behavior of planetary gear sets. JSME Int J C Mech Syst Mach Elem Manuf 47(3):908–915 Bodas A, Kahraman A (2004) Influence of carrier and gear manufacturing errors on the static load sharing behavior of planetary gear sets. JSME Int J C Mech Syst Mach Elem Manuf 47(3):908–915
2.
Zurück zum Zitat Singh A (2005) Application of a system level model to study the planetary load sharing behavior. J Mech Des 127(3):469–476CrossRef Singh A (2005) Application of a system level model to study the planetary load sharing behavior. J Mech Des 127(3):469–476CrossRef
3.
Zurück zum Zitat Kahraman A (1994) Load sharing characteristics of planetary transmissions. Mech Mach Theory 29(8):1151–1165CrossRef Kahraman A (1994) Load sharing characteristics of planetary transmissions. Mech Mach Theory 29(8):1151–1165CrossRef
4.
Zurück zum Zitat Cooley CG, Parker RG (2014) A review of planetary and epicyclic gear dynamics and vibrations research. Appl Mech Rev 66(4):40804CrossRef Cooley CG, Parker RG (2014) A review of planetary and epicyclic gear dynamics and vibrations research. Appl Mech Rev 66(4):40804CrossRef
5.
Zurück zum Zitat Nigam A, Sandeep J (2015) Modelling and structural analysis of planetary geared winch. Int J Sci Res 4(1):330–333 Nigam A, Sandeep J (2015) Modelling and structural analysis of planetary geared winch. Int J Sci Res 4(1):330–333
6.
Zurück zum Zitat Stoyanov S, Dobrev V, Dobreva A (2017) Finite elements contact modelling of planetary gear trains. IOP Conf Ser Mater Sci Eng 252:12034CrossRef Stoyanov S, Dobrev V, Dobreva A (2017) Finite elements contact modelling of planetary gear trains. IOP Conf Ser Mater Sci Eng 252:12034CrossRef
7.
Zurück zum Zitat Zeng Q, Jiang S, Wan L, Li X (2015) Finite element modeling and analysis of planetary gear transmission based on transient meshing properties. Int J Model Simul Sci Comput 6(03):1550035CrossRef Zeng Q, Jiang S, Wan L, Li X (2015) Finite element modeling and analysis of planetary gear transmission based on transient meshing properties. Int J Model Simul Sci Comput 6(03):1550035CrossRef
8.
Zurück zum Zitat Kahraman A, Vijayakar S (2001) Effect of internal gear flexibility on the quasi-static behavior of a planetary gear set. J Mech Des Trans ASME 123(3):408–415CrossRef Kahraman A, Vijayakar S (2001) Effect of internal gear flexibility on the quasi-static behavior of a planetary gear set. J Mech Des Trans ASME 123(3):408–415CrossRef
9.
Zurück zum Zitat Abousleiman V, Velex P (2006) A hybrid 3D finite element/lumped parameter model for quasi-static and dynamic analyses of planetary/epicyclic gear sets. Mech Mach Theory 41(6):725–748CrossRef Abousleiman V, Velex P (2006) A hybrid 3D finite element/lumped parameter model for quasi-static and dynamic analyses of planetary/epicyclic gear sets. Mech Mach Theory 41(6):725–748CrossRef
10.
Zurück zum Zitat Abousleiman V, Velex P, Becquerelle S (2007) Modeling of spur and helical gear planetary drives with flexible ring gears and planet carriers. J Mech Des 129(1):95–106CrossRef Abousleiman V, Velex P, Becquerelle S (2007) Modeling of spur and helical gear planetary drives with flexible ring gears and planet carriers. J Mech Des 129(1):95–106CrossRef
11.
Zurück zum Zitat Do TP, Ziegler P, Eberhard P (2013) Simulation of elastic gears with non-standard flank profiles. Arch Mech Eng 60(1):55–73CrossRef Do TP, Ziegler P, Eberhard P (2013) Simulation of elastic gears with non-standard flank profiles. Arch Mech Eng 60(1):55–73CrossRef
12.
Zurück zum Zitat Inalpolat M, Kahraman A (2008) Dynamic modelling of planetary gears of automatic transmissions. Proc Inst Mech Eng Part K J Multi-body Dyn 222(3):229–242 Inalpolat M, Kahraman A (2008) Dynamic modelling of planetary gears of automatic transmissions. Proc Inst Mech Eng Part K J Multi-body Dyn 222(3):229–242
13.
Zurück zum Zitat Velex P, Ajmi M (2006) On the modelling of excitations in geared systems by transmission errors. J Sound Vib 290(3):882–909CrossRef Velex P, Ajmi M (2006) On the modelling of excitations in geared systems by transmission errors. J Sound Vib 290(3):882–909CrossRef
14.
Zurück zum Zitat Kahraman A (1994) Planetary gear train dynamics. J Mech Des 116(3):713–720CrossRef Kahraman A (1994) Planetary gear train dynamics. J Mech Des 116(3):713–720CrossRef
15.
Zurück zum Zitat Velex P, Flamand L (1996) Dynamic response of planetary trains to mesh parametric excitations. J Mech Des Trans ASME 118(1):7–14CrossRef Velex P, Flamand L (1996) Dynamic response of planetary trains to mesh parametric excitations. J Mech Des Trans ASME 118(1):7–14CrossRef
16.
Zurück zum Zitat Lin J, Parker RG (2002) Planetart gear parametric instability caused by mesh stiffness variation. J Sound Vib 249(1):129–145CrossRef Lin J, Parker RG (2002) Planetart gear parametric instability caused by mesh stiffness variation. J Sound Vib 249(1):129–145CrossRef
17.
Zurück zum Zitat Ambarisha VK, Parker RG (2005) Suppression of planet mode response in planetary gear dynamics through mesh phasing. J Vib Acoust 128(2):133–142CrossRef Ambarisha VK, Parker RG (2005) Suppression of planet mode response in planetary gear dynamics through mesh phasing. J Vib Acoust 128(2):133–142CrossRef
18.
Zurück zum Zitat Ambarisha VK, Parker RG (2007) Nonlinear dynamics of planetary gears using analytical and finite element models. J Sound Vib 302(3):577–595CrossRef Ambarisha VK, Parker RG (2007) Nonlinear dynamics of planetary gears using analytical and finite element models. J Sound Vib 302(3):577–595CrossRef
19.
Zurück zum Zitat Al-Shyyab A, Kahraman A (2007) A non-linear dynamic model for planetary gear sets. Proc Inst Mech Eng Part K J Multi-body Dyn 221(4):567–576 Al-Shyyab A, Kahraman A (2007) A non-linear dynamic model for planetary gear sets. Proc Inst Mech Eng Part K J Multi-body Dyn 221(4):567–576
20.
Zurück zum Zitat Inalpolat M, Kahraman A (2010) A dynamic model to predict modulation sidebands of a planetary gear set having manufacturing errors. J Sound Vib 329(4):371–393CrossRef Inalpolat M, Kahraman A (2010) A dynamic model to predict modulation sidebands of a planetary gear set having manufacturing errors. J Sound Vib 329(4):371–393CrossRef
21.
Zurück zum Zitat Ryali L, Talbot D (2021) A dynamic load distribution model of planetary gear sets. Mech Mach Theory 158:104229CrossRef Ryali L, Talbot D (2021) A dynamic load distribution model of planetary gear sets. Mech Mach Theory 158:104229CrossRef
22.
Zurück zum Zitat Hu Y, Talbot D, Kahraman A (2018) A load distribution model for planetary gear sets. J Mech Des 140(5):53302CrossRef Hu Y, Talbot D, Kahraman A (2018) A load distribution model for planetary gear sets. J Mech Des 140(5):53302CrossRef
23.
Zurück zum Zitat Li Y, Chen T, Wang X (2014) Non-linear dynamics of gear pair with dynamic backlash subjected to combined internal and external periodic excitations. J Vib Control 22(6):1693–1703MathSciNetCrossRef Li Y, Chen T, Wang X (2014) Non-linear dynamics of gear pair with dynamic backlash subjected to combined internal and external periodic excitations. J Vib Control 22(6):1693–1703MathSciNetCrossRef
24.
Zurück zum Zitat Fang Y, Zuo MJ, Li Y (2019) Investigation of gear dynamic characteristics under stochastic external excitations. IOP Conf Ser Mater Sci Eng 576:12013CrossRef Fang Y, Zuo MJ, Li Y (2019) Investigation of gear dynamic characteristics under stochastic external excitations. IOP Conf Ser Mater Sci Eng 576:12013CrossRef
25.
Zurück zum Zitat Bai W, Qin D, Wang Y, Lim TC (2018) Dynamic characteristics of motor-gear system under load saltations and voltage transients. Mech Syst Signal Process 100:1–16CrossRef Bai W, Qin D, Wang Y, Lim TC (2018) Dynamic characteristics of motor-gear system under load saltations and voltage transients. Mech Syst Signal Process 100:1–16CrossRef
26.
Zurück zum Zitat Zhao M, Ji J (2016) Dynamic analysis of wind turbine gearbox components. Energies 9(2):110CrossRef Zhao M, Ji J (2016) Dynamic analysis of wind turbine gearbox components. Energies 9(2):110CrossRef
27.
Zurück zum Zitat Zhao M, Ji JC (2015) Nonlinear torsional vibrations of a wind turbine gearbox. Appl Math Model 39(16):4928–4950MathSciNetCrossRef Zhao M, Ji JC (2015) Nonlinear torsional vibrations of a wind turbine gearbox. Appl Math Model 39(16):4928–4950MathSciNetCrossRef
28.
Zurück zum Zitat Li C, Zhou Y, Lim TC, Sun G (2016) Dynamic responses of a wind turbine drivetrain under turbulent wind and voltage disturbance conditions. Adv Mech Eng 8(5):1687814016649936 Li C, Zhou Y, Lim TC, Sun G (2016) Dynamic responses of a wind turbine drivetrain under turbulent wind and voltage disturbance conditions. Adv Mech Eng 8(5):1687814016649936
29.
Zurück zum Zitat Bati A, Luk PCK (2015) Analysis of drive-train resonance and torque ripple smoothing of a 50 kW vertical axis wind turbine. In: 2015 IEEE International Conference on Industrial Technology (ICIT), pp 1263–1268CrossRef Bati A, Luk PCK (2015) Analysis of drive-train resonance and torque ripple smoothing of a 50 kW vertical axis wind turbine. In: 2015 IEEE International Conference on Industrial Technology (ICIT), pp 1263–1268CrossRef
31.
Zurück zum Zitat Ligata H, Kahraman A, Singh A (2009) A closed-form planet load sharing formulation for planetary gear sets using a translational analogy. J Mech Des 131(2):21007CrossRef Ligata H, Kahraman A, Singh A (2009) A closed-form planet load sharing formulation for planetary gear sets using a translational analogy. J Mech Des 131(2):21007CrossRef
33.
Zurück zum Zitat Chen Q, Xu G, Liu G, Zhao W, Liu L, Lin Z (2018) Torque ripple reduction in five-phase IPM motors by lowering interactional MMF. IEEE Trans Ind Electron 65(11):8520–8531CrossRef Chen Q, Xu G, Liu G, Zhao W, Liu L, Lin Z (2018) Torque ripple reduction in five-phase IPM motors by lowering interactional MMF. IEEE Trans Ind Electron 65(11):8520–8531CrossRef
34.
Zurück zum Zitat Hwang M‑H, Lee H‑S, Cha H‑R (2018) Analysis of torque ripple and cogging torque reduction in electric vehicle traction platform applying rotor notched design. Energies 11(11):3053CrossRef Hwang M‑H, Lee H‑S, Cha H‑R (2018) Analysis of torque ripple and cogging torque reduction in electric vehicle traction platform applying rotor notched design. Energies 11(11):3053CrossRef
35.
Zurück zum Zitat Wang K, Zhu ZQ, Ombach G, Koch M, Zhang S, Xu J (2015) Torque ripple reduction of synchronous reluctance machines: using asymmetric flux-barrier. COMPEL 34(1):18–31CrossRef Wang K, Zhu ZQ, Ombach G, Koch M, Zhang S, Xu J (2015) Torque ripple reduction of synchronous reluctance machines: using asymmetric flux-barrier. COMPEL 34(1):18–31CrossRef
36.
Zurück zum Zitat Hu Y, Ryali L, Talbot D, Kahraman A (2019) A theoretical study of the overall transmission error in planetary gear sets. Proc Inst Mech Eng Part C J Mech Eng Sci 233(21/22):7200–7211CrossRef Hu Y, Ryali L, Talbot D, Kahraman A (2019) A theoretical study of the overall transmission error in planetary gear sets. Proc Inst Mech Eng Part C J Mech Eng Sci 233(21/22):7200–7211CrossRef
37.
Zurück zum Zitat Vijayakar SM, Houser DR (1988) Use of boundary elements for the determination of the AGMA geometry factor. Gear Technol 5(1):7–9, 33 Vijayakar SM, Houser DR (1988) Use of boundary elements for the determination of the AGMA geometry factor. Gear Technol 5(1):7–9, 33
Metadaten
Titel
Dynamic load distribution of planetary gear sets subject to both internal and external excitations
verfasst von
Lokaditya Ryali
David Talbot
Publikationsdatum
08.07.2021
Verlag
Springer Berlin Heidelberg
Erschienen in
Forschung im Ingenieurwesen / Ausgabe 3/2022
Print ISSN: 0015-7899
Elektronische ISSN: 1434-0860
DOI
https://doi.org/10.1007/s10010-021-00506-6

Weitere Artikel der Ausgabe 3/2022

Forschung im Ingenieurwesen 3/2022 Zur Ausgabe

Originalarbeiten/Originals

Automation of gearbox design

    Marktübersichten

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