Skip to main content
SpringerLink
Log in

Use of Hypocycloidal Motion in the Study of Rolling Friction

  • Conference paper
  • First Online:
New Advances in Mechanism and Machine Science

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 57))

  • 1059 Accesses

Abstract

The paper proposes a device for finding the coefficient of rolling friction using a sphere in contact with the inner surface of a ring that rotates about a horizontal axis. The motion of the ball is characterized by the fact that for a stipulated rotation speed of the ring the centre of the ball executes a damped oscillatory motion and at equilibrium the centre of the ball is situated on different vertical than the one the centre of the ring is positioned. It is assumed that this feature is produced by the rolling friction torque that is proportional with the normal pressing force and the nonlinear differential equation of motion is obtained for the intended dynamic model. By the integration of the equation of motion there are confirmed the oscillatory motion of the ball and the eccentric equilibrium position and it is found a dependency of equilibrium position on the coefficient of rolling friction.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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

References

  1. Alaci S. et al (2017) Estimation of coefficient of rolling friction by the evolvent pendulum method. IOP MSE 200

    Google Scholar 

  2. Ardema DM (2005) Newton-Euler dynamics. Springer

    Google Scholar 

  3. Ciornei MC et al (2017) A method for the determination of the coefficient of rolling friction using cycloidal pendulum. IOP MSE 227

    Google Scholar 

  4. Dooner DB (2012) Kinematic Geometry of gearing, Wiley

    Google Scholar 

  5. Gear CW (1971) Numerical initial value problems in ODE. NJ Prentice-Hall

    Google Scholar 

  6. Johnson KL (1985) Contact mechanics. Cambridge University Press

    Google Scholar 

  7. Stolarski TA, Tobe S (2000) Rolling contacts, St edn. Professional Engineering Publishing Ltd, London Bury

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. “Stefan cel Mare” University of Suceava, Suceava, Romania

    S. T. Siretean, I. Muscă, S. Alaci & F.-C. Ciornei

Authors
  1. S. T. Siretean
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. Muscă
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. Alaci
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. F.-C. Ciornei
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. T. Siretean .

Editor information

Editors and Affiliations

  1. Mechanical Engineering, Mechatronics and Robotics Department, Mechanical Engineering Faculty, “Gheorghe Asachi” Technical University of Iaşi, Iaşi, Romania

    Ioan Doroftei

  2. Mechanical Engineering, Mechatronics and Robotics Department, Mechanical Engineering Faculty, “Gheorghe Asachi” Technical University of Iaşi, Iaşi, Romania

    Cezar Oprisan

  3. Mechanical Systems Engineering Department, Machine Building Faculty, Research Center for Industrial Robots Simulation and Testing, Technical University of Cluj-Napoca, Cluj-Napoca, Romania

    Doina Pisla

  4. Mechatronics Department, Mechanical Engineering Faculty, Politehnica University of Timisoara, Timişoara, Romania

    Erwin Christian Lovasz

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Siretean, S.T., Muscă, I., Alaci, S., Ciornei, FC. (2018). Use of Hypocycloidal Motion in the Study of Rolling Friction. In: Doroftei, I., Oprisan, C., Pisla, D., Lovasz, E. (eds) New Advances in Mechanism and Machine Science. Mechanisms and Machine Science, vol 57. Springer, Cham. https://doi.org/10.1007/978-3-319-79111-1_46

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-79111-1_46

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-79110-4

  • Online ISBN: 978-3-319-79111-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation