Skip to main content
SpringerLink
Log in

A nonlinear numerical simulation of a lab centrifuge with internal damping

  • Original Paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

This paper is about numerical simulations of dissipation processes in rotor shaft joints of rotor systems. Based on measurement results a nonlinear simulation model of a lab centrifuge is stated. The effects of internal damping in combination with nonlinear stiffness and friction in the rotor shaft joint of the lab centrifuge are worked out. It is shown that the nonlinearities cause the amplitudes to rest limited once increased amplitudes due to internal damping appear. One focus is the derivation of suitable force laws describing the mechanisms of the components within the connection.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Gasch, R., Nordmann, R., Pfützner, H.: Rotordynamik. Springer, Heidelberg/Berlin/New York (2002)

    Google Scholar 

  2. Cowper: The shear coefficient in Timoshenko’s beam theory. ASME J. Appl. Mech. 33(2), 335–340 (1966)

    MATH  Google Scholar 

  3. Shaw, J., Shaw, S.: Instabilities and bifurcations in a rotating shaft. J. Sound Vib. 132(2), 227–244 (1989)

    Article  Google Scholar 

  4. Genin, J., Maybee, J.S.: Stability in the three dimensional whirling problem. Int. J. Non-Linear Mech. 4(3), 205–215 (1969)

    Article  MATH  MathSciNet  Google Scholar 

  5. Tondl, A.: Some Problems of Rotor Dynamics. Chapman & Hall, London (1965)

    Google Scholar 

  6. Dahl, P.: A solid friction model. Tech. Rep., The Aerospace Corporation (May 1968)

  7. Menq, C., Griffin, J., Bielak, J.: The influence of a variable normal load on the forced vibration of a frictionally damped structure. ASME J. Eng. Gas Turbines Power 108, 300–305 (1986)

    Article  Google Scholar 

  8. Shoukry: A mathematical model for the stiffness of fixed joints between machine parts. In: Proceedings of the NUMETA 85 Conference, pp. 851–858. Swansea, UK (1985)

  9. Burdekin, M., Cowley, A., Back, N.: An elastic mechanism for the microsliding characteristics between contacting surfaces. J. Mech. Eng. Sci. 20(3), 121–127 (1978)

    Article  Google Scholar 

  10. Wettergren, H.: Material and microslip damping in a rotor taking gravity and anisotropic bearings into account. ASME J. Vib. Acoust. 131, 30–35 (2001)

    Article  Google Scholar 

  11. Charleux, D., Gibert, C., Thouverez, F., Dupeux, J.: Numerical and experimental study of friction damping in blade attachments of rotating bladed disks. Int. J. Rotating Mach. 2006, 1–13 (2006)

    Article  Google Scholar 

  12. Nacivet, S., Pierre, C., Thouverez, F., Jezequel, L.: A dynamic Lagrangian frequency-time method for the vibration of dry-friction-damped systems. J. Sound Vib. 265, 201–219 (2003)

    Article  MathSciNet  Google Scholar 

  13. Beitz, W., Grote, K. (Eds.): Dubbel, Taschenbuch für den Maschinenbau. Springer, Berlin (1997)

    Google Scholar 

  14. Fischer, J., Strackeljan, J.: Stability analysis of high speed lab centrifuges considering internal damping in rotor–shaft joints. Techn. Mech. 26(2), 131–147 (2006)

    Google Scholar 

  15. Ishida, Y., Yamamoto, T.: Forced oscillations of a rotating shaft with nonlinear spring characteristics and internal damping. Nonlinear Dyn. 4, 413–431 (1993)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Applied Mechanics, Otto-von-Guericke University, Magdeburg, Germany

    Jonas Fischer & Jens Strackeljan

Authors
  1. Jonas Fischer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jens Strackeljan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jonas Fischer.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fischer, J., Strackeljan, J. A nonlinear numerical simulation of a lab centrifuge with internal damping. Nonlinear Dyn 60, 39–47 (2010). https://doi.org/10.1007/s11071-009-9578-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-009-9578-9

Keywords

Search

Navigation