Skip to main content

Dynamic Balancing of a Nutating Planetary Bevel Gear Train

  • Conference paper
  • First Online:
Multibody Mechatronic Systems

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 25))

Abstract

The paper presents a dynamic model of a planetary gear train based on nutating bevel gears. The goal is to determine the conditions under which the mechanism do not transmit shaking inertial forces and moments to its frame. The paper first presents system geometry and kinematics; then an analytical model of its dynamics is developed and explicit balancing conditions are obtained. Analytical results are the verified through multibody simulations of a sample geometry. A discussion about balancing geometries is finally carried out.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Barbagelata A, Fanghella P, Landò R (2003) Innovative Drive system for electric windows for cars based on a space born gearbox (Spacegear). In: International symposium CONVERGENCE ‘03: aeronautics, automotive and space, Paris, France

    Google Scholar 

  2. Callegari M, Fanghella P, Pellicano F (2013) Mechanics of machines, Cittastudi. ISBN 8825173814 (in Italian)

    Google Scholar 

  3. Day C, Akeel HA, Gutkowsky LJ (1983) Kinematic design and analysis of coupled planetary bevel-gear trains> J Mech Trans ASME 105:441−445

    Google Scholar 

  4. Del Pio G, Pennestrì E, Valentini PP (2013) Kinematic and power-flow analysis of bevel gears planetary gear trains with gyroscopic complexity. Mech Mach Theory 70:523−537

    Article  Google Scholar 

  5. Landò R (2001) Analisys and design of a nutating planetary gear-train, MS thesis, University of Genoa (in Italian)

    Google Scholar 

  6. Ligang Y, Bing G, Shujuan H, Guowu W, Dai JS (2010) Mathematical modeling and simulation of the external and internal double circular-arc spiral bevel gears for the nutation drive. J Mech Des Trans ASME 132(2):0210081−02100810

    Google Scholar 

  7. Litvin FL, Zheng Y (1986) Robotic bevel-gear differential train. Int J Robot Res 5:75−81

    Article  Google Scholar 

  8. Molyneux WG (1997) The internal bevel gear and its applications. Proc Inst Mech Eng 211(Part G):39−61

    Google Scholar 

  9. Nelson CA, Cipra RJ (2005) Similarity and equivalence of nutating mechanisms to bevel epicyclic gear trains for modeling and analysis. J Mech Des Trans ASME 127(2):269−277

    Google Scholar 

  10. Nelson CA, Cipra RJ (2005) Simplified kinematic analysis of bevel epicyclic gear trains with application to power-flow and efficiency analyses. J Mech Des Trans ASME 127(2):278−286

    Google Scholar 

  11. Staicu S (2008) Inverse dynamics of a planetary gear train for robotics. Mech Mach Theory 43:918−927

    Article  MATH  Google Scholar 

  12. Uyguroglu M, Demirel H (2005) Kinematic analysis of bevel-gear trains using graphs. Acta Mech 177:19−27

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P. Fanghella .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Fanghella, P., Bruzzone, L., Ellero, S. (2015). Dynamic Balancing of a Nutating Planetary Bevel Gear Train. In: Ceccarelli, M., Hernández Martinez, E. (eds) Multibody Mechatronic Systems. Mechanisms and Machine Science, vol 25. Springer, Cham. https://doi.org/10.1007/978-3-319-09858-6_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-09858-6_3

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09857-9

  • Online ISBN: 978-3-319-09858-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics